39.01 is what percent of 108.38 - 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 108.38 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 108.38, so we can write it down as 100%=108.38.
4. We know, that x% equals 39.01 of the output value, so we can write it down as x%=39.01.
5. Now we have two simple equations:
1) 100%=108.38
2) x%=39.01
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%=108.38/39.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.01 is what percent of 108.38

100%/x%=108.38/39.01
(100/x)*x=(108.38/39.01)*x       - we multiply both sides of the equation by x
100=2.7782619841066*x       - we divide both sides of the equation by (2.7782619841066) to get x
100/2.7782619841066=x
35.993725779664=x
x=35.993725779664

now we have:
39.01 is 35.993725779664% of 108.38