94.32 is what percent of 707.5 - 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 707.5 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 707.5, so we can write it down as 100%=707.5.
4. We know, that x% equals 94.32 of the output value, so we can write it down as x%=94.32.
5. Now we have two simple equations:
1) 100%=707.5
2) x%=94.32
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%=707.5/94.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.32 is what percent of 707.5

100%/x%=707.5/94.32
(100/x)*x=(707.5/94.32)*x       - we multiply both sides of the equation by x
100=7.5010602205259*x       - we divide both sides of the equation by (7.5010602205259) to get x
100/7.5010602205259=x
13.331448763251=x
x=13.331448763251

now we have:
94.32 is 13.331448763251% of 707.5