91 is what percent of 99.5 - 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 99.5 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 99.5, so we can write it down as 100%=99.5.
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%=99.5
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%=99.5/91
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 99.5

100%/x%=99.5/91
(100/x)*x=(99.5/91)*x       - we multiply both sides of the equation by x
100=1.0934065934066*x       - we divide both sides of the equation by (1.0934065934066) to get x
100/1.0934065934066=x
91.457286432161=x
x=91.457286432161

now we have:
91 is 91.457286432161% of 99.5