117.2 is what percent of 1503.18 - 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 1503.18 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 1503.18, so we can write it down as 100%=1503.18.
4. We know, that x% equals 117.2 of the output value, so we can write it down as x%=117.2.
5. Now we have two simple equations:
1) 100%=1503.18
2) x%=117.2
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%=1503.18/117.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.2 is what percent of 1503.18

100%/x%=1503.18/117.2
(100/x)*x=(1503.18/117.2)*x       - we multiply both sides of the equation by x
100=12.825767918089*x       - we divide both sides of the equation by (12.825767918089) to get x
100/12.825767918089=x
7.7968041086231=x
x=7.7968041086231

now we have:
117.2 is 7.7968041086231% of 1503.18