82 is what percent of 135 - 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 135 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 135, so we can write it down as 100%=135.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=135
2) x%=82
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%=135/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 135

100%/x%=135/82
(100/x)*x=(135/82)*x       - we multiply both sides of the equation by x
100=1.6463414634146*x       - we divide both sides of the equation by (1.6463414634146) to get x
100/1.6463414634146=x
60.740740740741=x
x=60.740740740741

now we have:
82 is 60.740740740741% of 135