117.2 is what percent of 216.6 - 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 216.6 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 216.6, so we can write it down as 100%=216.6.
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%=216.6
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%=216.6/117.2
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 216.6

100%/x%=216.6/117.2
(100/x)*x=(216.6/117.2)*x       - we multiply both sides of the equation by x
100=1.8481228668942*x       - we divide both sides of the equation by (1.8481228668942) to get x
100/1.8481228668942=x
54.108956602031=x
x=54.108956602031

now we have:
117.2 is 54.108956602031% of 216.6