117.28 is what percent of 721.6 - 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 721.6 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 721.6, so we can write it down as 100%=721.6.
4. We know, that x% equals 117.28 of the output value, so we can write it down as x%=117.28.
5. Now we have two simple equations:
1) 100%=721.6
2) x%=117.28
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%=721.6/117.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.28 is what percent of 721.6

100%/x%=721.6/117.28
(100/x)*x=(721.6/117.28)*x       - we multiply both sides of the equation by x
100=6.1527967257844*x       - we divide both sides of the equation by (6.1527967257844) to get x
100/6.1527967257844=x
16.252771618625=x
x=16.252771618625

now we have:
117.28 is 16.252771618625% of 721.6