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<blockquote data-quote="kluisi" data-source="post: 326582" data-attributes="member: 17548"><p>As long as the assumption is correct that the factor scales linearly between the lower percentage and the higher percentage, you got them all right. When I'm not taking pictures, I'm an engineer. For everyone else, you can figure these out like this:</p><p></p><p><strong>Instance 1:</strong><p style="margin-left: 20px">Factor Increase = Higher Factor - Lower Factor</p> <p style="margin-left: 20px">Factor Increase = 1.5 - 1 = 0.5</p> <p style="margin-left: 20px">Factor Increase = 0.5</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Percentage Increase = Higher Percentage - Lower Percentage</p> <p style="margin-left: 20px">Percentage Increase = 20% - 2%</p> <p style="margin-left: 20px">Percentage Increase = 18%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Factor Increase Per Percent = Factor Increase / Percentage Increase</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.5 / 18%</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.0277777777777778</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Percentage Increase = Your Percentage - Lower Percentage</p> <p style="margin-left: 20px">Your Percentage Increase = 18.15% - 2%</p> <p style="margin-left: 20px">Your Percentage Increase = 16.15%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor</p> <p style="margin-left: 20px">Your Factor = (0.0277777777777778 * 16.15%) + 1</p> <p style="margin-left: 20px">Your Factor = 1.4486111111111111</p> <p style="margin-left: 20px"></p><p><strong>Instance 2:</strong><p style="margin-left: 20px">Factor Increase = Higher Factor - Lower Factor</p> <p style="margin-left: 20px">Factor Increase = 1.5 - 1 = 0.5</p> <p style="margin-left: 20px">Factor Increase = 0.5</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Percentage Increase = Higher Percentage - Lower Percentage</p> <p style="margin-left: 20px">Percentage Increase = 20% - 2%</p> <p style="margin-left: 20px">Percentage Increase = 18%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Factor Increase Per Percent = Factor Increase / Percentage Increase</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.5 / 18%</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.0277777777777778</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Percentage Increase = Your Percentage - Lower Percentage</p> <p style="margin-left: 20px">Your Percentage Increase = 14.47% - 2%</p> <p style="margin-left: 20px">Your Percentage Increase = 12.47%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor</p> <p style="margin-left: 20px">Your Factor = (0.0277777777777778 * 12.47%) + 1</p> <p style="margin-left: 20px">Your Factor = 1.346388888888889</p> <p style="margin-left: 20px"></p><p><strong>Instance 3:</strong><p style="margin-left: 20px">Factor Increase = Higher Factor - Lower Factor</p> <p style="margin-left: 20px">Factor Increase = 1.5 - 1 = 0.5</p> <p style="margin-left: 20px">Factor Increase = 0.5</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Percentage Increase = Higher Percentage - Lower Percentage</p> <p style="margin-left: 20px">Percentage Increase = 36% - 32%</p> <p style="margin-left: 20px">Percentage Increase = 4%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Factor Increase Per Percent = Factor Increase / Percentage Increase</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.5 / 4%</p> <p style="margin-left: 20px">Factor Increase Per Percent = 0.125</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Percentage Increase = Your Percentage - Lower Percentage</p> <p style="margin-left: 20px">Your Percentage Increase = 33.68% - 32%</p> <p style="margin-left: 20px">Your Percentage Increase = 1.68%</p> <p style="margin-left: 20px"></p> <p style="margin-left: 20px">Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor</p> <p style="margin-left: 20px">Your Factor = (0.125 * 1.68%) + 1</p> <p style="margin-left: 20px">Your Factor = 1.21</p></blockquote><p></p>
[QUOTE="kluisi, post: 326582, member: 17548"] As long as the assumption is correct that the factor scales linearly between the lower percentage and the higher percentage, you got them all right. When I'm not taking pictures, I'm an engineer. For everyone else, you can figure these out like this: [B]Instance 1:[/B][INDENT]Factor Increase = Higher Factor - Lower Factor Factor Increase = 1.5 - 1 = 0.5 Factor Increase = 0.5 Percentage Increase = Higher Percentage - Lower Percentage Percentage Increase = 20% - 2% Percentage Increase = 18% Factor Increase Per Percent = Factor Increase / Percentage Increase Factor Increase Per Percent = 0.5 / 18% Factor Increase Per Percent = 0.0277777777777778 Your Percentage Increase = Your Percentage - Lower Percentage Your Percentage Increase = 18.15% - 2% Your Percentage Increase = 16.15% Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor Your Factor = (0.0277777777777778 * 16.15%) + 1 Your Factor = 1.4486111111111111 [/INDENT] [B]Instance 2:[/B][INDENT]Factor Increase = Higher Factor - Lower Factor Factor Increase = 1.5 - 1 = 0.5 Factor Increase = 0.5 Percentage Increase = Higher Percentage - Lower Percentage Percentage Increase = 20% - 2% Percentage Increase = 18% Factor Increase Per Percent = Factor Increase / Percentage Increase Factor Increase Per Percent = 0.5 / 18% Factor Increase Per Percent = 0.0277777777777778 Your Percentage Increase = Your Percentage - Lower Percentage Your Percentage Increase = 14.47% - 2% Your Percentage Increase = 12.47% Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor Your Factor = (0.0277777777777778 * 12.47%) + 1 Your Factor = 1.346388888888889 [/INDENT] [B]Instance 3:[/B][INDENT]Factor Increase = Higher Factor - Lower Factor Factor Increase = 1.5 - 1 = 0.5 Factor Increase = 0.5 Percentage Increase = Higher Percentage - Lower Percentage Percentage Increase = 36% - 32% Percentage Increase = 4% Factor Increase Per Percent = Factor Increase / Percentage Increase Factor Increase Per Percent = 0.5 / 4% Factor Increase Per Percent = 0.125 Your Percentage Increase = Your Percentage - Lower Percentage Your Percentage Increase = 33.68% - 32% Your Percentage Increase = 1.68% Your Factor = (Factor Increase Per Percent * Your Percentage Increase) + Lower Factor Your Factor = (0.125 * 1.68%) + 1 Your Factor = 1.21[/INDENT] [/QUOTE]
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