91 is what percent of 85.5 - 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 85.5 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 85.5, so we can write it down as 100%=85.5.
4. We know, that x% equals 91 of the output value, so we can write it down as x%=91.
5. Now we have two simple equations:
1) 100%=85.5
2) x%=91
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%=85.5/91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 91 is what percent of 85.5

100%/x%=85.5/91
(100/x)*x=(85.5/91)*x       - we multiply both sides of the equation by x
100=0.93956043956044*x       - we divide both sides of the equation by (0.93956043956044) to get x
100/0.93956043956044=x
106.43274853801=x
x=106.43274853801

now we have:
91 is 106.43274853801% of 85.5