85.16 is what percent of 750.32 - 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 750.32 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 750.32, so we can write it down as 100%=750.32.
4. We know, that x% equals 85.16 of the output value, so we can write it down as x%=85.16.
5. Now we have two simple equations:
1) 100%=750.32
2) x%=85.16
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%=750.32/85.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.16 is what percent of 750.32

100%/x%=750.32/85.16
(100/x)*x=(750.32/85.16)*x       - we multiply both sides of the equation by x
100=8.8107092531705*x       - we divide both sides of the equation by (8.8107092531705) to get x
100/8.8107092531705=x
11.349824075061=x
x=11.349824075061

now we have:
85.16 is 11.349824075061% of 750.32