117.9 is what percent of 216.8 - 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 216.8 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 216.8, so we can write it down as 100%=216.8.
4. We know, that x% equals 117.9 of the output value, so we can write it down as x%=117.9.
5. Now we have two simple equations:
1) 100%=216.8
2) x%=117.9
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%=216.8/117.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.9 is what percent of 216.8

100%/x%=216.8/117.9
(100/x)*x=(216.8/117.9)*x       - we multiply both sides of the equation by x
100=1.8388464800679*x       - we divide both sides of the equation by (1.8388464800679) to get x
100/1.8388464800679=x
54.381918819188=x
x=54.381918819188

now we have:
117.9 is 54.381918819188% of 216.8