The discount is 36%, and the sell price is $32, what is original price

Hello! So the sale price is $32 after the 36% discount. That means that 32 is 64% of a number, because 64% of the original price had to be paid. In order to find the original price, we can write and solve a proportion. Set it up like this:

32/x = 64/100

This is because 32 is part of the whole, which is the original price, and 32 is 64% of that whole. Let's cross multiply the values. 100 * 32 is 3,200. 64 * x is 64x. That makes 3,200 = 64x. Now, divide each side by 64 to isolate the x. 64x/64 cancels out. 3,200/64 is 50. Let's check this by multiplying by 64% 50 * 64% (0.64) is 32. There. x = 50. The original price was $50.