Let c= original cost
Let p= percent reduced by
Let r= cost after reduction
Equation: c=p*(100%-r)
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Sale price/original price will give you a fraction. The fraction x100 gives you the percentage that the sale price is of the original price.100-(that percentage) gives the percent taken off.
Let x equal the original price. Let's say the sale is 25 percent off. That means that 0.75x = the sale price. To find the original price, divide the sale price by the decimal equivalent of 100 minus the discount. Example: You bought an item for 48.00 that was marked as being 20 percent off the original price. The original price was 48.00 divided by 0.80 or 60.00
Call the percentage off ' P '. The original price was (sell-price) divided by (1 - .01P)
Take the current price and add whatever the price that was subtracted off from the discount back to it and you will get the original price. If the current price of an item is $50 and had a 10% discount already taken off then dived 50 by 90% (50 / 0.9) which will give you $55.56 which is the original price before the discount. To check to make sure you did it correct take the original price, $55.56, and multiply it by 10% which will give you 55.56 * 0.1 = 5.56 and subtract that from the original; $55.56 - $5.56 = $50 which is the current price. If you have a calculator you can just enter $55.56 - 10% = $50 to check.
marked price/original price =15,737.5