432.52 is what percent of 1081.31 - 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 1081.31 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 1081.31, so we can write it down as 100%=1081.31.
4. We know, that x% equals 432.52 of the output value, so we can write it down as x%=432.52.
5. Now we have two simple equations:
1) 100%=1081.31
2) x%=432.52
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%=1081.31/432.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 432.52 is what percent of 1081.31

100%/x%=1081.31/432.52
(100/x)*x=(1081.31/432.52)*x       - we multiply both sides of the equation by x
100=2.5000231203181*x       - we divide both sides of the equation by (2.5000231203181) to get x
100/2.5000231203181=x
39.999630078331=x
x=39.999630078331

now we have:
432.52 is 39.999630078331% of 1081.31