117.61 is what percent of 108 - 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 108 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 108, so we can write it down as 100%=108.
4. We know, that x% equals 117.61 of the output value, so we can write it down as x%=117.61.
5. Now we have two simple equations:
1) 100%=108
2) x%=117.61
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%=108/117.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.61 is what percent of 108

100%/x%=108/117.61
(100/x)*x=(108/117.61)*x       - we multiply both sides of the equation by x
100=0.91828926111725*x       - we divide both sides of the equation by (0.91828926111725) to get x
100/0.91828926111725=x
108.89814814815=x
x=108.89814814815

now we have:
117.61 is 108.89814814815% of 108