13512.72 is what percent of 140120.58 - 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 140120.58 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 140120.58, so we can write it down as 100%=140120.58.
4. We know, that x% equals 13512.72 of the output value, so we can write it down as x%=13512.72.
5. Now we have two simple equations:
1) 100%=140120.58
2) x%=13512.72
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%=140120.58/13512.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13512.72 is what percent of 140120.58

100%/x%=140120.58/13512.72
(100/x)*x=(140120.58/13512.72)*x       - we multiply both sides of the equation by x
100=10.369531818908*x       - we divide both sides of the equation by (10.369531818908) to get x
100/10.369531818908=x
9.6436369304209=x
x=9.6436369304209

now we have:
13512.72 is 9.6436369304209% of 140120.58