82.5 is what percent of 118 - 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 118 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 118, so we can write it down as 100%=118.
4. We know, that x% equals 82.5 of the output value, so we can write it down as x%=82.5.
5. Now we have two simple equations:
1) 100%=118
2) x%=82.5
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%=118/82.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.5 is what percent of 118

100%/x%=118/82.5
(100/x)*x=(118/82.5)*x       - we multiply both sides of the equation by x
100=1.430303030303*x       - we divide both sides of the equation by (1.430303030303) to get x
100/1.430303030303=x
69.915254237288=x
x=69.915254237288

now we have:
82.5 is 69.915254237288% of 118