12873.72 is what percent of 113178.19 - 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 113178.19 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 113178.19, so we can write it down as 100%=113178.19.
4. We know, that x% equals 12873.72 of the output value, so we can write it down as x%=12873.72.
5. Now we have two simple equations:
1) 100%=113178.19
2) x%=12873.72
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%=113178.19/12873.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12873.72 is what percent of 113178.19

100%/x%=113178.19/12873.72
(100/x)*x=(113178.19/12873.72)*x       - we multiply both sides of the equation by x
100=8.7914130492197*x       - we divide both sides of the equation by (8.7914130492197) to get x
100/8.7914130492197=x
11.374735715424=x
x=11.374735715424

now we have:
12873.72 is 11.374735715424% of 113178.19