108.33 is what percent of 118.08 - 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 118.08 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 118.08, so we can write it down as 100%=118.08.
4. We know, that x% equals 108.33 of the output value, so we can write it down as x%=108.33.
5. Now we have two simple equations:
1) 100%=118.08
2) x%=108.33
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%=118.08/108.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.33 is what percent of 118.08

100%/x%=118.08/108.33
(100/x)*x=(118.08/108.33)*x       - we multiply both sides of the equation by x
100=1.09000276932*x       - we divide both sides of the equation by (1.09000276932) to get x
100/1.09000276932=x
91.7428861789=x
x=91.7428861789

now we have:
108.33 is 91.7428861789% of 118.08