31.61 is what percent of 80.718 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 80.718 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 80.718, so we can write it down as 100%=80.718.
4. We know, that x% equals 31.61 of the output value, so we can write it down as x%=31.61.
5. Now we have two simple equations:
1) 100%=80.718
2) x%=31.61
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=80.718/31.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.61 is what percent of 80.718

100%/x%=80.718/31.61
(100/x)*x=(80.718/31.61)*x       - we multiply both sides of the equation by x
100=2.5535590003164*x       - we divide both sides of the equation by (2.5535590003164) to get x
100/2.5535590003164=x
39.161029757923=x
x=39.161029757923

now we have:
31.61 is 39.161029757923% of 80.718