10.37 is what percent of 125.97 - 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 125.97 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 125.97, so we can write it down as 100%=125.97.
4. We know, that x% equals 10.37 of the output value, so we can write it down as x%=10.37.
5. Now we have two simple equations:
1) 100%=125.97
2) x%=10.37
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%=125.97/10.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.37 is what percent of 125.97

100%/x%=125.97/10.37
(100/x)*x=(125.97/10.37)*x       - we multiply both sides of the equation by x
100=12.147540983607*x       - we divide both sides of the equation by (12.147540983607) to get x
100/12.147540983607=x
8.2321187584345=x
x=8.2321187584345

now we have:
10.37 is 8.2321187584345% of 125.97