39.56 is what percent of 107.5 - 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 107.5 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 107.5, so we can write it down as 100%=107.5.
4. We know, that x% equals 39.56 of the output value, so we can write it down as x%=39.56.
5. Now we have two simple equations:
1) 100%=107.5
2) x%=39.56
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%=107.5/39.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.56 is what percent of 107.5

100%/x%=107.5/39.56
(100/x)*x=(107.5/39.56)*x       - we multiply both sides of the equation by x
100=2.7173913043478*x       - we divide both sides of the equation by (2.7173913043478) to get x
100/2.7173913043478=x
36.8=x
x=36.8

now we have:
39.56 is 36.8% of 107.5