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Die Faktoren werden multipliziert, die Prozentsätze dürfen nicht einfach addiert werden.",[560,1062,1064],{"id":1063},"beispiele","Beispiele",[565,1066,1067,1068,1098,1099,1137,1138,1226],{},"Ein Fahrrad kostet laut Liste ",[592,1069,1071,1085],{"className":1070},[595],[592,1072,1074],{"className":1073},[599],[601,1075,1076],{"xmlns":603},[605,1077,1078,1083],{},[608,1079,1080],{},[611,1081,1082],{},"640",[624,1084,1082],{"encoding":626},[592,1086,1088],{"className":1087,"ariaHidden":632},[631],[592,1089,1091,1095],{"className":1090},[636],[592,1092],{"className":1093,"style":1094},[640],"height:0.6444em;",[592,1096,1082],{"className":1097},[645]," €. Der Händler gibt ",[592,1100,1102,1119],{"className":1101},[595],[592,1103,1105],{"className":1104},[599],[601,1106,1107],{"xmlns":603},[605,1108,1109,1117],{},[608,1110,1111,1113,1115],{},[611,1112,983],{},[615,1114,617],{},[619,1116,622],{"mathvariant":621},[624,1118,990],{"encoding":626},[592,1120,1122],{"className":1121,"ariaHidden":632},[631],[592,1123,1125,1128,1131,1134],{"className":1124},[636],[592,1126],{"className":1127,"style":641},[640],[592,1129,983],{"className":1130},[645],[592,1132],{"className":1133,"style":650},[649],[592,1135,622],{"className":1136},[645]," Rabatt. Der Rabatt beträgt ",[592,1139,1141,1167],{"className":1140},[595],[592,1142,1144],{"className":1143},[599],[601,1145,1146],{"xmlns":603},[605,1147,1148,1164],{},[608,1149,1150,1152,1155,1158,1161],{},[611,1151,1082],{},[754,1153,1154],{},"⋅",[611,1156,1157],{},"0,15",[754,1159,1160],{},"=",[611,1162,1163],{},"96",[624,1165,1166],{"encoding":626},"640 \\cdot 0{,}15 = 96",[592,1168,1170,1188,1217],{"className":1169,"ariaHidden":632},[631],[592,1171,1173,1176,1179,1182,1185],{"className":1172},[636],[592,1174],{"className":1175,"style":1094},[640],[592,1177,1082],{"className":1178},[645],[592,1180],{"className":1181,"style":796},[649],[592,1183,1154],{"className":1184},[800],[592,1186],{"className":1187,"style":796},[649],[592,1189,1191,1194,1197,1203,1206,1210,1214],{"className":1190},[636],[592,1192],{"className":1193,"style":1037},[640],[592,1195,1041],{"className":1196},[645],[592,1198,1200],{"className":1199},[645],[592,1201,1049],{"className":1202},[1048],[592,1204,983],{"className":1205},[645],[592,1207],{"className":1208,"style":1209},[649],"margin-right:0.2778em;",[592,1211,1160],{"className":1212},[1213],"mrel",[592,1215],{"className":1216,"style":1209},[649],[592,1218,1220,1223],{"className":1219},[636],[592,1221],{"className":1222,"style":1094},[640],[592,1224,1163],{"className":1225},[645]," €, der neue Preis",[592,1228,1231],{"className":1229},[1230],"katex-display",[592,1232,1234,1285],{"className":1233},[595],[592,1235,1237],{"className":1236},[599],[601,1238,1240],{"xmlns":603,"display":1239},"block",[605,1241,1242,1282],{},[608,1243,1244,1253,1255,1257,1259,1261,1263,1265,1267,1269,1271,1273,1275,1277,1279],{},[1245,1246,1247,1250],"msub",{},[619,1248,1249],{},"K",[615,1251,1252],{},"neu",[754,1254,1160],{},[611,1256,1082],{},[754,1258,1154],{},[754,1260,757],{"stretchy":756},[611,1262,838],{},[754,1264,763],{},[611,1266,1157],{},[754,1268,768],{"stretchy":756},[754,1270,1160],{},[611,1272,1082],{},[754,1274,1154],{},[611,1276,1024],{},[754,1278,1160],{},[611,1280,1281],{},"544",[624,1283,1284],{"encoding":626},"K_{\\text{neu}} = 640 \\cdot (1 - 0{,}15) = 640 \\cdot 0{,}85 = 544",[592,1286,1288,1357,1375,1396,1426,1444,1471],{"className":1287,"ariaHidden":632},[631],[592,1289,1291,1295,1348,1351,1354],{"className":1290},[636],[592,1292],{"className":1293,"style":1294},[640],"height:0.8333em;vertical-align:-0.15em;",[592,1296,1298,1302],{"className":1297},[645],[592,1299,1249],{"className":1300,"style":1301},[645,733],"margin-right:0.0715em;",[592,1303,1306],{"className":1304},[1305],"msupsub",[592,1307,1309,1339],{"className":1308},[893,894],[592,1310,1312,1336],{"className":1311},[898],[592,1313,1316],{"className":1314,"style":1315},[902],"height:0.1514em;",[592,1317,1319,1323],{"style":1318},"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;",[592,1320],{"className":1321,"style":1322},[910],"height:2.7em;",[592,1324,1326],{"className":1325},[915,916,917,918],[592,1327,1329],{"className":1328},[645,918],[592,1330,1333],{"className":1331},[645,1332,918],"text",[592,1334,1252],{"className":1335},[645,918],[592,1337,955],{"className":1338},[954],[592,1340,1342],{"className":1341},[898],[592,1343,1346],{"className":1344,"style":1345},[902],"height:0.15em;",[592,1347],{},[592,1349],{"className":1350,"style":1209},[649],[592,1352,1160],{"className":1353},[1213],[592,1355],{"className":1356,"style":1209},[649],[592,1358,1360,1363,1366,1369,1372],{"className":1359},[636],[592,1361],{"className":1362,"style":1094},[640],[592,1364,1082],{"className":1365},[645],[592,1367],{"className":1368,"style":796},[649],[592,1370,1154],{"className":1371},[800],[592,1373],{"className":1374,"style":796},[649],[592,1376,1378,1381,1384,1387,1390,1393],{"className":1377},[636],[592,1379],{"className":1380,"style":785},[640],[592,1382,757],{"className":1383},[789],[592,1385,838],{"className":1386},[645],[592,1388],{"className":1389,"style":796},[649],[592,1391,763],{"className":1392},[800],[592,1394],{"className":1395,"style":796},[649],[592,1397,1399,1402,1405,1411,1414,1417,1420,1423],{"className":1398},[636],[592,1400],{"className":1401,"style":785},[640],[592,1403,1041],{"className":1404},[645],[592,1406,1408],{"className":1407},[645],[592,1409,1049],{"className":1410},[1048],[592,1412,983],{"className":1413},[645],[592,1415,768],{"className":1416},[816],[592,1418],{"className":1419,"style":1209},[649],[592,1421,1160],{"className":1422},[1213],[592,1424],{"className":1425,"style":1209},[649],[592,1427,1429,1432,1435,1438,1441],{"className":1428},[636],[592,1430],{"className":1431,"style":1094},[640],[592,1433,1082],{"className":1434},[645],[592,1436],{"className":1437,"style":796},[649],[592,1439,1154],{"className":1440},[800],[592,1442],{"className":1443,"style":796},[649],[592,1445,1447,1450,1453,1459,1462,1465,1468],{"className":1446},[636],[592,1448],{"className":1449,"style":1037},[640],[592,1451,1041],{"className":1452},[645],[592,1454,1456],{"className":1455},[645],[592,1457,1049],{"className":1458},[1048],[592,1460,1053],{"className":1461},[645],[592,1463],{"className":1464,"style":1209},[649],[592,1466,1160],{"className":1467},[1213],[592,1469],{"className":1470,"style":1209},[649],[592,1472,1474,1477],{"className":1473},[636],[592,1475],{"className":1476,"style":1094},[640],[592,1478,1281],{"className":1479},[645],[565,1481,1482,1483,1511],{},"also ",[592,1484,1486,1499],{"className":1485},[595],[592,1487,1489],{"className":1488},[599],[601,1490,1491],{"xmlns":603},[605,1492,1493,1497],{},[608,1494,1495],{},[611,1496,1281],{},[624,1498,1281],{"encoding":626},[592,1500,1502],{"className":1501,"ariaHidden":632},[631],[592,1503,1505,1508],{"className":1504},[636],[592,1506],{"className":1507,"style":1094},[640],[592,1509,1281],{"className":1510},[645]," €.",[565,1513,1514,1515,1553,1554,1650],{},"Wer sofort zahlt, bekommt zusätzlich ",[592,1516,1518,1535],{"className":1517},[595],[592,1519,1521],{"className":1520},[599],[601,1522,1523],{"xmlns":603},[605,1524,1525,1533],{},[608,1526,1527,1529,1531],{},[611,1528,613],{},[615,1530,617],{},[619,1532,622],{"mathvariant":621},[624,1534,627],{"encoding":626},[592,1536,1538],{"className":1537,"ariaHidden":632},[631],[592,1539,1541,1544,1547,1550],{"className":1540},[636],[592,1542],{"className":1543,"style":641},[640],[592,1545,613],{"className":1546},[645],[592,1548],{"className":1549,"style":650},[649],[592,1551,622],{"className":1552},[645]," Skonto. Das sind ",[592,1555,1557,1581],{"className":1556},[595],[592,1558,1560],{"className":1559},[599],[601,1561,1562],{"xmlns":603},[605,1563,1564,1578],{},[608,1565,1566,1568,1570,1573,1575],{},[611,1567,1281],{},[754,1569,1154],{},[611,1571,1572],{},"0,02",[754,1574,1160],{},[611,1576,1577],{},"10,88",[624,1579,1580],{"encoding":626},"544 \\cdot 0{,}02 = 10{,}88",[592,1582,1584,1602,1630],{"className":1583,"ariaHidden":632},[631],[592,1585,1587,1590,1593,1596,1599],{"className":1586},[636],[592,1588],{"className":1589,"style":1094},[640],[592,1591,1281],{"className":1592},[645],[592,1594],{"className":1595,"style":796},[649],[592,1597,1154],{"className":1598},[800],[592,1600],{"className":1601,"style":796},[649],[592,1603,1605,1608,1611,1617,1621,1624,1627],{"className":1604},[636],[592,1606],{"className":1607,"style":1037},[640],[592,1609,1041],{"className":1610},[645],[592,1612,1614],{"className":1613},[645],[592,1615,1049],{"className":1616},[1048],[592,1618,1620],{"className":1619},[645],"02",[592,1622],{"className":1623,"style":1209},[649],[592,1625,1160],{"className":1626},[1213],[592,1628],{"className":1629,"style":1209},[649],[592,1631,1633,1636,1640,1646],{"className":1632},[636],[592,1634],{"className":1635,"style":1037},[640],[592,1637,1639],{"className":1638},[645],"10",[592,1641,1643],{"className":1642},[645],[592,1644,1049],{"className":1645},[1048],[592,1647,1649],{"className":1648},[645],"88"," €. Zu zahlen sind",[592,1652,1654],{"className":1653},[1230],[592,1655,1657,1681],{"className":1656},[595],[592,1658,1660],{"className":1659},[599],[601,1661,1662],{"xmlns":603,"display":1239},[605,1663,1664,1678],{},[608,1665,1666,1668,1670,1673,1675],{},[611,1667,1281],{},[754,1669,1154],{},[611,1671,1672],{},"0,98",[754,1674,1160],{},[611,1676,1677],{},"533,12",[624,1679,1680],{"encoding":626},"544 \\cdot 0{,}98 = 533{,}12",[592,1682,1684,1702,1730],{"className":1683,"ariaHidden":632},[631],[592,1685,1687,1690,1693,1696,1699],{"className":1686},[636],[592,1688],{"className":1689,"style":1094},[640],[592,1691,1281],{"className":1692},[645],[592,1694],{"className":1695,"style":796},[649],[592,1697,1154],{"className":1698},[800],[592,1700],{"className":1701,"style":796},[649],[592,1703,1705,1708,1711,1717,1721,1724,1727],{"className":1704},[636],[592,1706],{"className":1707,"style":1037},[640],[592,1709,1041],{"className":1710},[645],[592,1712,1714],{"className":1713},[645],[592,1715,1049],{"className":1716},[1048],[592,1718,1720],{"className":1719},[645],"98",[592,1722],{"className":1723,"style":1209},[649],[592,1725,1160],{"className":1726},[1213],[592,1728],{"className":1729,"style":1209},[649],[592,1731,1733,1736,1740,1746],{"className":1732},[636],[592,1734],{"className":1735,"style":1037},[640],[592,1737,1739],{"className":1738},[645],"533",[592,1741,1743],{"className":1742},[645],[592,1744,1049],{"className":1745},[1048],[592,1747,1749],{"className":1748},[645],"12",[565,1751,1482,1752,1511],{},[592,1753,1755,1769],{"className":1754},[595],[592,1756,1758],{"className":1757},[599],[601,1759,1760],{"xmlns":603},[605,1761,1762,1766],{},[608,1763,1764],{},[611,1765,1677],{},[624,1767,1768],{"encoding":626},"533{,}12",[592,1770,1772],{"className":1771,"ariaHidden":632},[631],[592,1773,1775,1778,1781,1787],{"className":1774},[636],[592,1776],{"className":1777,"style":1037},[640],[592,1779,1739],{"className":1780},[645],[592,1782,1784],{"className":1783},[645],[592,1785,1049],{"className":1786},[1048],[592,1788,1749],{"className":1789},[645],[565,1791,1792],{},"In einem Schritt mit beiden Faktoren:",[592,1794,1796],{"className":1795},[1230],[592,1797,1799,1834],{"className":1798},[595],[592,1800,1802],{"className":1801},[599],[601,1803,1804],{"xmlns":603,"display":1239},[605,1805,1806,1831],{},[608,1807,1808,1810,1812,1814,1816,1818,1820,1822,1824,1827,1829],{},[611,1809,1082],{},[754,1811,1154],{},[611,1813,1024],{},[754,1815,1154],{},[611,1817,1672],{},[754,1819,1160],{},[611,1821,1082],{},[754,1823,1154],{},[611,1825,1826],{},"0,833",[754,1828,1160],{},[611,1830,1677],{},[624,1832,1833],{"encoding":626},"640 \\cdot 0{,}85 \\cdot 0{,}98 = 640 \\cdot 0{,}833 = 533{,}12",[592,1835,1837,1855,1882,1909,1927,1955],{"className":1836,"ariaHidden":632},[631],[592,1838,1840,1843,1846,1849,1852],{"className":1839},[636],[592,1841],{"className":1842,"style":1094},[640],[592,1844,1082],{"className":1845},[645],[592,1847],{"className":1848,"style":796},[649],[592,1850,1154],{"className":1851},[800],[592,1853],{"className":1854,"style":796},[649],[592,1856,1858,1861,1864,1870,1873,1876,1879],{"className":1857},[636],[592,1859],{"className":1860,"style":1037},[640],[592,1862,1041],{"className":1863},[645],[592,1865,1867],{"className":1866},[645],[592,1868,1049],{"className":1869},[1048],[592,1871,1053],{"className":1872},[645],[592,1874],{"className":1875,"style":796},[649],[592,1877,1154],{"className":1878},[800],[592,1880],{"className":1881,"style":796},[649],[592,1883,1885,1888,1891,1897,1900,1903,1906],{"className":1884},[636],[592,1886],{"className":1887,"style":1037},[640],[592,1889,1041],{"className":1890},[645],[592,1892,1894],{"className":1893},[645],[592,1895,1049],{"className":1896},[1048],[592,1898,1720],{"className":1899},[645],[592,1901],{"className":1902,"style":1209},[649],[592,1904,1160],{"className":1905},[1213],[592,1907],{"className":1908,"style":1209},[649],[592,1910,1912,1915,1918,1921,1924],{"className":1911},[636],[592,1913],{"className":1914,"style":1094},[640],[592,1916,1082],{"className":1917},[645],[592,1919],{"className":1920,"style":796},[649],[592,1922,1154],{"className":1923},[800],[592,1925],{"className":1926,"style":796},[649],[592,1928,1930,1933,1936,1942,1946,1949,1952],{"className":1929},[636],[592,1931],{"className":1932,"style":1037},[640],[592,1934,1041],{"className":1935},[645],[592,1937,1939],{"className":1938},[645],[592,1940,1049],{"className":1941},[1048],[592,1943,1945],{"className":1944},[645],"833",[592,1947],{"className":1948,"style":1209},[649],[592,1950,1160],{"className":1951},[1213],[592,1953],{"className":1954,"style":1209},[649],[592,1956,1958,1961,1964,1970],{"className":1957},[636],[592,1959],{"className":1960,"style":1037},[640],[592,1962,1739],{"className":1963},[645],[592,1965,1967],{"className":1966},[645],[592,1968,1049],{"className":1969},[1048],[592,1971,1749],{"className":1972},[645],[565,1974,1975,1976,2069,2070,2121,2122,695],{},"Der gesamte Nachlass beträgt also ",[592,1977,1979,2002],{"className":1978},[595],[592,1980,1982],{"className":1981},[599],[601,1983,1984],{"xmlns":603},[605,1985,1986,1999],{},[608,1987,1988,1990,1992,1994,1996],{},[611,1989,838],{},[754,1991,763],{},[611,1993,1826],{},[754,1995,1160],{},[611,1997,1998],{},"0,167",[624,2000,2001],{"encoding":626},"1 - 0{,}833 = 0{,}167",[592,2003,2005,2023,2050],{"className":2004,"ariaHidden":632},[631],[592,2006,2008,2011,2014,2017,2020],{"className":2007},[636],[592,2009],{"className":2010,"style":860},[640],[592,2012,838],{"className":2013},[645],[592,2015],{"className":2016,"style":796},[649],[592,2018,763],{"className":2019},[800],[592,2021],{"className":2022,"style":796},[649],[592,2024,2026,2029,2032,2038,2041,2044,2047],{"className":2025},[636],[592,2027],{"className":2028,"style":1037},[640],[592,2030,1041],{"className":2031},[645],[592,2033,2035],{"className":2034},[645],[592,2036,1049],{"className":2037},[1048],[592,2039,1945],{"className":2040},[645],[592,2042],{"className":2043,"style":1209},[649],[592,2045,1160],{"className":2046},[1213],[592,2048],{"className":2049,"style":1209},[649],[592,2051,2053,2056,2059,2065],{"className":2052},[636],[592,2054],{"className":2055,"style":1037},[640],[592,2057,1041],{"className":2058},[645],[592,2060,2062],{"className":2061},[645],[592,2063,1049],{"className":2064},[1048],[592,2066,2068],{"className":2067},[645],"167",", das sind ",[592,2071,2073,2092],{"className":2072},[595],[592,2074,2076],{"className":2075},[599],[601,2077,2078],{"xmlns":603},[605,2079,2080,2089],{},[608,2081,2082,2085,2087],{},[611,2083,2084],{},"16,7",[615,2086,617],{},[619,2088,622],{"mathvariant":621},[624,2090,2091],{"encoding":626},"16{,}7\\,\\%",[592,2093,2095],{"className":2094,"ariaHidden":632},[631],[592,2096,2098,2101,2105,2111,2115,2118],{"className":2097},[636],[592,2099],{"className":2100,"style":729},[640],[592,2102,2104],{"className":2103},[645],"16",[592,2106,2108],{"className":2107},[645],[592,2109,1049],{"className":2110},[1048],[592,2112,2114],{"className":2113},[645],"7",[592,2116],{"className":2117,"style":650},[649],[592,2119,622],{"className":2120},[645]," und nicht ",[592,2123,2125,2144],{"className":2124},[595],[592,2126,2128],{"className":2127},[599],[601,2129,2130],{"xmlns":603},[605,2131,2132,2141],{},[608,2133,2134,2137,2139],{},[611,2135,2136],{},"17",[615,2138,617],{},[619,2140,622],{"mathvariant":621},[624,2142,2143],{"encoding":626},"17\\,\\%",[592,2145,2147],{"className":2146,"ariaHidden":632},[631],[592,2148,2150,2153,2156,2159],{"className":2149},[636],[592,2151],{"className":2152,"style":641},[640],[592,2154,2136],{"className":2155},[645],[592,2157],{"className":2158,"style":650},[649],[592,2160,622],{"className":2161},[645],[560,2163,2165],{"id":2164},"typische-fehler","Typische Fehler",[577,2167,2168,2268,2403],{},[580,2169,2170,2171,2267],{},"Rabatt- und Skontosatz addieren: ",[592,2172,2174,2198],{"className":2173},[595],[592,2175,2177],{"className":2176},[599],[601,2178,2179],{"xmlns":603},[605,2180,2181,2195],{},[608,2182,2183,2185,2187,2190,2192],{},[611,2184,1082],{},[754,2186,1154],{},[611,2188,2189],{},"0,83",[754,2191,1160],{},[611,2193,2194],{},"531,20",[624,2196,2197],{"encoding":626},"640 \\cdot 0{,}83 = 531{,}20",[592,2199,2201,2219,2247],{"className":2200,"ariaHidden":632},[631],[592,2202,2204,2207,2210,2213,2216],{"className":2203},[636],[592,2205],{"className":2206,"style":1094},[640],[592,2208,1082],{"className":2209},[645],[592,2211],{"className":2212,"style":796},[649],[592,2214,1154],{"className":2215},[800],[592,2217],{"className":2218,"style":796},[649],[592,2220,2222,2225,2228,2234,2238,2241,2244],{"className":2221},[636],[592,2223],{"className":2224,"style":1037},[640],[592,2226,1041],{"className":2227},[645],[592,2229,2231],{"className":2230},[645],[592,2232,1049],{"className":2233},[1048],[592,2235,2237],{"className":2236},[645],"83",[592,2239],{"className":2240,"style":1209},[649],[592,2242,1160],{"className":2243},[1213],[592,2245],{"className":2246,"style":1209},[649],[592,2248,2250,2253,2257,2263],{"className":2249},[636],[592,2251],{"className":2252,"style":1037},[640],[592,2254,2256],{"className":2255},[645],"531",[592,2258,2260],{"className":2259},[645],[592,2261,1049],{"className":2262},[1048],[592,2264,2266],{"className":2265},[645],"20"," € ist zu wenig. Das Skonto bezieht sich auf den reduzierten Preis.",[580,2269,2270,2271,2364,2365,1511],{},"Das Skonto vom Listenpreis berechnen: ",[592,2272,2274,2297],{"className":2273},[595],[592,2275,2277],{"className":2276},[599],[601,2278,2279],{"xmlns":603},[605,2280,2281,2294],{},[608,2282,2283,2285,2287,2289,2291],{},[611,2284,1082],{},[754,2286,1154],{},[611,2288,1572],{},[754,2290,1160],{},[611,2292,2293],{},"12,80",[624,2295,2296],{"encoding":626},"640 \\cdot 0{,}02 = 12{,}80",[592,2298,2300,2318,2345],{"className":2299,"ariaHidden":632},[631],[592,2301,2303,2306,2309,2312,2315],{"className":2302},[636],[592,2304],{"className":2305,"style":1094},[640],[592,2307,1082],{"className":2308},[645],[592,2310],{"className":2311,"style":796},[649],[592,2313,1154],{"className":2314},[800],[592,2316],{"className":2317,"style":796},[649],[592,2319,2321,2324,2327,2333,2336,2339,2342],{"className":2320},[636],[592,2322],{"className":2323,"style":1037},[640],[592,2325,1041],{"className":2326},[645],[592,2328,2330],{"className":2329},[645],[592,2331,1049],{"className":2332},[1048],[592,2334,1620],{"className":2335},[645],[592,2337],{"className":2338,"style":1209},[649],[592,2340,1160],{"className":2341},[1213],[592,2343],{"className":2344,"style":1209},[649],[592,2346,2348,2351,2354,2360],{"className":2347},[636],[592,2349],{"className":2350,"style":1037},[640],[592,2352,1749],{"className":2353},[645],[592,2355,2357],{"className":2356},[645],[592,2358,1049],{"className":2359},[1048],[592,2361,2363],{"className":2362},[645],"80"," € statt richtig ",[592,2366,2368,2382],{"className":2367},[595],[592,2369,2371],{"className":2370},[599],[601,2372,2373],{"xmlns":603},[605,2374,2375,2379],{},[608,2376,2377],{},[611,2378,1577],{},[624,2380,2381],{"encoding":626},"10{,}88",[592,2383,2385],{"className":2384,"ariaHidden":632},[631],[592,2386,2388,2391,2394,2400],{"className":2387},[636],[592,2389],{"className":2390,"style":1037},[640],[592,2392,1639],{"className":2393},[645],[592,2395,2397],{"className":2396},[645],[592,2398,1049],{"className":2399},[1048],[592,2401,1649],{"className":2402},[645],[580,2404,2405,2406,2487,2488,1511],{},"Den Nachlass mit dem Endpreis verwechseln: ",[592,2407,2409,2430],{"className":2408},[595],[592,2410,2412],{"className":2411},[599],[601,2413,2414],{"xmlns":603},[605,2415,2416,2428],{},[608,2417,2418,2420,2422,2424,2426],{},[611,2419,1082],{},[754,2421,1154],{},[611,2423,1157],{},[754,2425,1160],{},[611,2427,1163],{},[624,2429,1166],{"encoding":626},[592,2431,2433,2451,2478],{"className":2432,"ariaHidden":632},[631],[592,2434,2436,2439,2442,2445,2448],{"className":2435},[636],[592,2437],{"className":2438,"style":1094},[640],[592,2440,1082],{"className":2441},[645],[592,2443],{"className":2444,"style":796},[649],[592,2446,1154],{"className":2447},[800],[592,2449],{"className":2450,"style":796},[649],[592,2452,2454,2457,2460,2466,2469,2472,2475],{"className":2453},[636],[592,2455],{"className":2456,"style":1037},[640],[592,2458,1041],{"className":2459},[645],[592,2461,2463],{"className":2462},[645],[592,2464,1049],{"className":2465},[1048],[592,2467,983],{"className":2468},[645],[592,2470],{"className":2471,"style":1209},[649],[592,2473,1160],{"className":2474},[1213],[592,2476],{"className":2477,"style":1209},[649],[592,2479,2481,2484],{"className":2480},[636],[592,2482],{"className":2483,"style":1094},[640],[592,2485,1163],{"className":2486},[645]," € ist der Rabatt, zu zahlen sind ",[592,2489,2491,2513],{"className":2490},[595],[592,2492,2494],{"className":2493},[599],[601,2495,2496],{"xmlns":603},[605,2497,2498,2510],{},[608,2499,2500,2502,2504,2506,2508],{},[611,2501,1082],{},[754,2503,763],{},[611,2505,1163],{},[754,2507,1160],{},[611,2509,1281],{},[624,2511,2512],{"encoding":626},"640 - 96 = 544",[592,2514,2516,2534,2552],{"className":2515,"ariaHidden":632},[631],[592,2517,2519,2522,2525,2528,2531],{"className":2518},[636],[592,2520],{"className":2521,"style":860},[640],[592,2523,1082],{"className":2524},[645],[592,2526],{"className":2527,"style":796},[649],[592,2529,763],{"className":2530},[800],[592,2532],{"className":2533,"style":796},[649],[592,2535,2537,2540,2543,2546,2549],{"className":2536},[636],[592,2538],{"className":2539,"style":1094},[640],[592,2541,1163],{"className":2542},[645],[592,2544],{"className":2545,"style":1209},[649],[592,2547,1160],{"className":2548},[1213],[592,2550],{"className":2551,"style":1209},[649],[592,2553,2555,2558],{"className":2554},[636],[592,2556],{"className":2557,"style":1094},[640],[592,2559,1281],{"className":2560},[645],{"title":2562,"searchDepth":2563,"depth":2563,"links":2564},"",2,[2565,2566,2567],{"id":562,"depth":2563,"text":563},{"id":1063,"depth":2563,"text":1064},{"id":2164,"depth":2563,"text":2165},[2569,2572,2574,2578,2581,2584,2587,2589,2592,2595],{"lhs":2570,"rhs":2571},"K*(1 - p\u002F100)","K - K*p\u002F100",{"lhs":2573,"rhs":1163},"640*0.15",{"lhs":2570,"rhs":1281,"where":2575},{"K":2576,"p":2577},640,15,{"lhs":2579,"rhs":2580},"544*0.02","10.88",{"lhs":2582,"rhs":2583},"544*0.98","533.12",{"lhs":2585,"rhs":2586},"0.85*0.98","0.833",{"lhs":2588,"rhs":2583},"640*0.833",{"lhs":2590,"rhs":2591},"(1 - 0.833)*100","16.7",{"lhs":2593,"rhs":2594},"640*0.83","531.2",{"lhs":2596,"rhs":2597},"640*0.02","12.8","0 \\leq p \\leq 100","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>0\u003C\u002Fmn>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmn>100\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0 \\leq p \\leq 100\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7804em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8304em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">100\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","discount","K_{\\text{neu}} = K \\cdot \\left(1 - \\frac{p}{100}\\right)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmtext>neu\u003C\u002Fmtext>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>K\u003C\u002Fmi>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>−\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>100\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K_{\\text{neu}} = K \\cdot \\left(1 - \\frac{p}{100}\\right)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord text mtight\">\u003Cspan class=\"mord mtight\">neu\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.836em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size2\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">100\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size2\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Farithmetic\u002Frabatt-und-skonto",[],[2611,2612,2613,2614],"percentage-value","gross-price","change-factor","percentage-change",{"title":548,"description":2562},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Frabatt-und-skonto","Ein Nachlass von p % senkt den Preis auf das (1 − p\u002F100)-Fache; mehrere Nachlässe werden nacheinander berechnet.",[2619,2620,2621,2622],"rabatt","skonto","preisnachlass","prozentrechnung",[2624,2627,2630],{"symbol":1249,"meaning":2625,"symbolHtml":2626},"Preis vor dem Nachlass","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>K\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":565,"meaning":2628,"symbolHtml":2629},"Rabatt- oder Skontosatz in Prozent, z.B. p = 15 bei 15 %","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>p\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">p\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2631,"meaning":2632,"symbolHtml":2633},"K_{\\text{neu}}","Preis nach dem Nachlass","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmtext>neu\u003C\u002Fmtext>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K_{\\text{neu}}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord text mtight\">\u003Cspan class=\"mord mtight\">neu\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","_bIrwkTEL7LugTbb8lUdV4y03YvabWwe6a_tj56owME",[2636,2639,2642,2645],{"stem":2637,"title":2638,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Faenderungsfaktor","Vermehrter und verminderter Grundwert",{"stem":2640,"title":2641,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fbruttopreis","Bruttopreis mit Mehrwertsteuer",{"stem":2643,"title":2644,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fprozentuale-veraenderung","Prozentuale Veränderung",{"stem":2646,"title":2647,"category":65},"de\u002Fformulas\u002Fmath\u002Farithmetic\u002Fprozentwert","Prozentwert",1793824259949]