Please answer this math question.

[S13driftAZ]

Hey, I was doing some math homework and I stumbled across a problem that I am not able to solve, even though I am doing it as shown on the internets.

2. Suppose you pay $45.00 for an electronic game that has been discounted 15%. What is the original price of the electronic game to the nearest cent? Show how you identify what you are looking for, set up a proportion, arrive at your answer, and check your work. Then clearly state your answer.

This is the way I was instructed to do it.
45/x = 15/100
cross multiply 45 and 100 then divide by 15
????
PROFIT

Thanks!

[Vindicator]

Your proportion should be 45/x = 85/100. $45 is 85% of the original price, so solving for x yields $52.94.

[Sirius]

Show how you identify what you are looking for, set up a proportion, arrive at your answer, and check your work. Then clearly state your answer.

How I don't miss having to explain what I'm doing.

[d0ggY]

I would write down \"Return the game and download the torrent\".

[Lothar]

The way I would do it:

you want to know the full price of the game. Call it p.

What you paid was 100-15 = 85% of the full price, or .85*p. That value was $45. So

$45 = .85*p

It's far easier to solve the problem this way than to set up a proportion. But you can rewrite this the way your book wants you to by dividing both sides by p and expanding .85 into 85/100:

45/p = 85/100

Either way, p = $52.94

[S13driftAZ]

Ah, I did not think of the other 85%.

Thanks guys!