108.85 is what percent of 115 - 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 115 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 115, so we can write it down as 100%=115.
4. We know, that x% equals 108.85 of the output value, so we can write it down as x%=108.85.
5. Now we have two simple equations:
1) 100%=115
2) x%=108.85
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%=115/108.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.85 is what percent of 115

100%/x%=115/108.85
(100/x)*x=(115/108.85)*x       - we multiply both sides of the equation by x
100=1.0564997703261*x       - we divide both sides of the equation by (1.0564997703261) to get x
100/1.0564997703261=x
94.652173913043=x
x=94.652173913043

now we have:
108.85 is 94.652173913043% of 115