36.52 is what percent of 87.05 - 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 87.05 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 87.05, so we can write it down as 100%=87.05.
4. We know, that x% equals 36.52 of the output value, so we can write it down as x%=36.52.
5. Now we have two simple equations:
1) 100%=87.05
2) x%=36.52
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%=87.05/36.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.52 is what percent of 87.05

100%/x%=87.05/36.52
(100/x)*x=(87.05/36.52)*x       - we multiply both sides of the equation by x
100=2.3836254107338*x       - we divide both sides of the equation by (2.3836254107338) to get x
100/2.3836254107338=x
41.952900631821=x
x=41.952900631821

now we have:
36.52 is 41.952900631821% of 87.05