85.32 is what percent of 372.32 - 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 372.32 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 372.32, so we can write it down as 100%=372.32.
4. We know, that x% equals 85.32 of the output value, so we can write it down as x%=85.32.
5. Now we have two simple equations:
1) 100%=372.32
2) x%=85.32
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%=372.32/85.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.32 is what percent of 372.32

100%/x%=372.32/85.32
(100/x)*x=(372.32/85.32)*x       - we multiply both sides of the equation by x
100=4.3638068448195*x       - we divide both sides of the equation by (4.3638068448195) to get x
100/4.3638068448195=x
22.915771379459=x
x=22.915771379459

now we have:
85.32 is 22.915771379459% of 372.32