108.5 is what percent of 132 - 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 132 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 132, so we can write it down as 100%=132.
4. We know, that x% equals 108.5 of the output value, so we can write it down as x%=108.5.
5. Now we have two simple equations:
1) 100%=132
2) x%=108.5
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%=132/108.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.5 is what percent of 132

100%/x%=132/108.5
(100/x)*x=(132/108.5)*x       - we multiply both sides of the equation by x
100=1.2165898617512*x       - we divide both sides of the equation by (1.2165898617512) to get x
100/1.2165898617512=x
82.19696969697=x
x=82.19696969697

now we have:
108.5 is 82.19696969697% of 132