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[Reverse Percentages] Reverse calculate original amount given a percentage #math
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1. Add or subtract the percentage given in the problem from 100% to determine what percentage we have. | |
2. Find 1% by dividing by the percentage found in the previous step. | |
3. Find 100% (original amount) by multiplying your answer in step 2 by 100. | |
<100% Example: | |
A shop is having a sale where all items are 30% off. | |
An item is on sale for $84. | |
What was the original price of the item? | |
100% - 30% = 70% of the original price | |
$84 = 70% | |
$84 / 70 = $1.20 (or 1% of the original price) | |
$1.20 * 100 = $120 (the original price) | |
>100% Example: | |
After a 4% wage rise, Bill earned $1248 each month. | |
How much did Bill earn each month before the wage rise? | |
100% + 4% = 104% of the original price | |
$1248 = 104% | |
$1248 / 104 = $12 (or 1% of the original price) | |
$12 * 100 = $1200 (the original price) |
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