75038.56 is what percent of 108946.04 - 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 108946.04 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 108946.04, so we can write it down as 100%=108946.04.
4. We know, that x% equals 75038.56 of the output value, so we can write it down as x%=75038.56.
5. Now we have two simple equations:
1) 100%=108946.04
2) x%=75038.56
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%=108946.04/75038.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75038.56 is what percent of 108946.04

100%/x%=108946.04/75038.56
(100/x)*x=(108946.04/75038.56)*x       - we multiply both sides of the equation by x
100=1.4518674132339*x       - we divide both sides of the equation by (1.4518674132339) to get x
100/1.4518674132339=x
68.876812778142=x
x=68.876812778142

now we have:
75038.56 is 68.876812778142% of 108946.04