117.16 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 117.16 of the output value, so we can write it down as x%=117.16.
5. Now we have two simple equations:
1) 100%=720
2) x%=117.16
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%=720/117.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.16 is what percent of 720

100%/x%=720/117.16
(100/x)*x=(720/117.16)*x       - we multiply both sides of the equation by x
100=6.1454421304199*x       - we divide both sides of the equation by (6.1454421304199) to get x
100/6.1454421304199=x
16.272222222222=x
x=16.272222222222

now we have:
117.16 is 16.272222222222% of 720