85.88 is what percent of 91.64 - 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 91.64 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 91.64, so we can write it down as 100%=91.64.
4. We know, that x% equals 85.88 of the output value, so we can write it down as x%=85.88.
5. Now we have two simple equations:
1) 100%=91.64
2) x%=85.88
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%=91.64/85.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.88 is what percent of 91.64

100%/x%=91.64/85.88
(100/x)*x=(91.64/85.88)*x       - we multiply both sides of the equation by x
100=1.067070330694*x       - we divide both sides of the equation by (1.067070330694) to get x
100/1.067070330694=x
93.714535137495=x
x=93.714535137495

now we have:
85.88 is 93.714535137495% of 91.64