108.41 is what percent of 96.85 - 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 96.85 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 96.85, so we can write it down as 100%=96.85.
4. We know, that x% equals 108.41 of the output value, so we can write it down as x%=108.41.
5. Now we have two simple equations:
1) 100%=96.85
2) x%=108.41
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%=96.85/108.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.41 is what percent of 96.85

100%/x%=96.85/108.41
(100/x)*x=(96.85/108.41)*x       - we multiply both sides of the equation by x
100=0.89336777050088*x       - we divide both sides of the equation by (0.89336777050088) to get x
100/0.89336777050088=x
111.93598347961=x
x=111.93598347961

now we have:
108.41 is 111.93598347961% of 96.85