529.59 is what percent of 710.25 - 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 710.25 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 710.25, so we can write it down as 100%=710.25.
4. We know, that x% equals 529.59 of the output value, so we can write it down as x%=529.59.
5. Now we have two simple equations:
1) 100%=710.25
2) x%=529.59
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%=710.25/529.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 529.59 is what percent of 710.25

100%/x%=710.25/529.59
(100/x)*x=(710.25/529.59)*x       - we multiply both sides of the equation by x
100=1.3411318189543*x       - we divide both sides of the equation by (1.3411318189543) to get x
100/1.3411318189543=x
74.563885955649=x
x=74.563885955649

now we have:
529.59 is 74.563885955649% of 710.25