Math

A purse cost $375.00. It was 25% off. What was the original price? I figured out the answer ($500.00), but I did it the 'hard way'. Can someone show me a mathematical way or equation to do this in the future w/other percentages?? One way you can do this problem is to set up this equation. The sale price of the purse is 75% (.75) of the original price. Let x = the original price, and solve for x. .75x = 375 x = 375/.75 x = 500 Another way to solve problems like this is to set up a ratio. .75 is to 1. as 375 is to x. .75/1 = 375/x Cross multiply. .75x = 375 x = 375/.75 x = 500 Thanks. This will help w/future problems.