139.52 is what percent of 370.32 - 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 370.32 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 370.32, so we can write it down as 100%=370.32.
4. We know, that x% equals 139.52 of the output value, so we can write it down as x%=139.52.
5. Now we have two simple equations:
1) 100%=370.32
2) x%=139.52
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%=370.32/139.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.52 is what percent of 370.32

100%/x%=370.32/139.52
(100/x)*x=(370.32/139.52)*x       - we multiply both sides of the equation by x
100=2.6542431192661*x       - we divide both sides of the equation by (2.6542431192661) to get x
100/2.6542431192661=x
37.675523871246=x
x=37.675523871246

now we have:
139.52 is 37.675523871246% of 370.32