82.51 is what percent of 1020 - 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 1020 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 1020, so we can write it down as 100%=1020.
4. We know, that x% equals 82.51 of the output value, so we can write it down as x%=82.51.
5. Now we have two simple equations:
1) 100%=1020
2) x%=82.51
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%=1020/82.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.51 is what percent of 1020

100%/x%=1020/82.51
(100/x)*x=(1020/82.51)*x       - we multiply both sides of the equation by x
100=12.362137922676*x       - we divide both sides of the equation by (12.362137922676) to get x
100/12.362137922676=x
8.0892156862745=x
x=8.0892156862745

now we have:
82.51 is 8.0892156862745% of 1020