91.08 is what percent of 920 - 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 920 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 920, so we can write it down as 100%=920.
4. We know, that x% equals 91.08 of the output value, so we can write it down as x%=91.08.
5. Now we have two simple equations:
1) 100%=920
2) x%=91.08
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%=920/91.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91.08 is what percent of 920

100%/x%=920/91.08
(100/x)*x=(920/91.08)*x       - we multiply both sides of the equation by x
100=10.10101010101*x       - we divide both sides of the equation by (10.10101010101) to get x
100/10.10101010101=x
9.9=x
x=9.9

now we have:
91.08 is 9.9% of 920