Question 219961
Please show me how to set this percentage question up. 

Find the original price of a pair of shoes if the sale price is $36.00 after a 60% discount. What is the original price of the shoes?

I have tried 36 x .30(30%)?
I am not sure how to set it up? Thank you


The original price is always represented by 100%, or 1


Since there was a 60% discount, it follows that the shoes cost 40% (100% - 60%) of its original price


By letting original price equal P, we can therefore use proportions to find the original price, or 100%, or 1


{{{36/P = .4/1}}}


.4P  = 36 ------ Cross-multiplying


P, or original price of the shoes = {{{36/.4}}}, or ${{{highlight_green(90)}}}