108.09 is what percent of 116.08 - 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 116.08 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 116.08, so we can write it down as 100%=116.08.
4. We know, that x% equals 108.09 of the output value, so we can write it down as x%=108.09.
5. Now we have two simple equations:
1) 100%=116.08
2) x%=108.09
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%=116.08/108.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.09 is what percent of 116.08

100%/x%=116.08/108.09
(100/x)*x=(116.08/108.09)*x       - we multiply both sides of the equation by x
100=1.0739198815802*x       - we divide both sides of the equation by (1.0739198815802) to get x
100/1.0739198815802=x
93.116815988973=x
x=93.116815988973

now we have:
108.09 is 93.116815988973% of 116.08