36964.46 is what percent of 140175.25 - 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 140175.25 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 140175.25, so we can write it down as 100%=140175.25.
4. We know, that x% equals 36964.46 of the output value, so we can write it down as x%=36964.46.
5. Now we have two simple equations:
1) 100%=140175.25
2) x%=36964.46
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%=140175.25/36964.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36964.46 is what percent of 140175.25

100%/x%=140175.25/36964.46
(100/x)*x=(140175.25/36964.46)*x       - we multiply both sides of the equation by x
100=3.7921627963725*x       - we divide both sides of the equation by (3.7921627963725) to get x
100/3.7921627963725=x
26.370175904805=x
x=26.370175904805

now we have:
36964.46 is 26.370175904805% of 140175.25