74875.64 is what percent of 108100.52 - 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 108100.52 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 108100.52, so we can write it down as 100%=108100.52.
4. We know, that x% equals 74875.64 of the output value, so we can write it down as x%=74875.64.
5. Now we have two simple equations:
1) 100%=108100.52
2) x%=74875.64
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%=108100.52/74875.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74875.64 is what percent of 108100.52

100%/x%=108100.52/74875.64
(100/x)*x=(108100.52/74875.64)*x       - we multiply both sides of the equation by x
100=1.4437341704191*x       - we divide both sides of the equation by (1.4437341704191) to get x
100/1.4437341704191=x
69.264828698326=x
x=69.264828698326

now we have:
74875.64 is 69.264828698326% of 108100.52