126.35 is what percent of 8007.5 - 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 8007.5 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 8007.5, so we can write it down as 100%=8007.5.
4. We know, that x% equals 126.35 of the output value, so we can write it down as x%=126.35.
5. Now we have two simple equations:
1) 100%=8007.5
2) x%=126.35
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%=8007.5/126.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.35 is what percent of 8007.5

100%/x%=8007.5/126.35
(100/x)*x=(8007.5/126.35)*x       - we multiply both sides of the equation by x
100=63.375544123467*x       - we divide both sides of the equation by (63.375544123467) to get x
100/63.375544123467=x
1.5778957227599=x
x=1.5778957227599

now we have:
126.35 is 1.5778957227599% of 8007.5