31.58 is what percent of 402 - 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 402 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 402, so we can write it down as 100%=402.
4. We know, that x% equals 31.58 of the output value, so we can write it down as x%=31.58.
5. Now we have two simple equations:
1) 100%=402
2) x%=31.58
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%=402/31.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.58 is what percent of 402

100%/x%=402/31.58
(100/x)*x=(402/31.58)*x       - we multiply both sides of the equation by x
100=12.729575680811*x       - we divide both sides of the equation by (12.729575680811) to get x
100/12.729575680811=x
7.8557213930348=x
x=7.8557213930348

now we have:
31.58 is 7.8557213930348% of 402