82.97 is what percent of 660.63 - 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 660.63 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 660.63, so we can write it down as 100%=660.63.
4. We know, that x% equals 82.97 of the output value, so we can write it down as x%=82.97.
5. Now we have two simple equations:
1) 100%=660.63
2) x%=82.97
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%=660.63/82.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.97 is what percent of 660.63

100%/x%=660.63/82.97
(100/x)*x=(660.63/82.97)*x       - we multiply both sides of the equation by x
100=7.9622755212727*x       - we divide both sides of the equation by (7.9622755212727) to get x
100/7.9622755212727=x
12.559223771249=x
x=12.559223771249

now we have:
82.97 is 12.559223771249% of 660.63