597.92 is what percent of 684.58 - 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 684.58 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 684.58, so we can write it down as 100%=684.58.
4. We know, that x% equals 597.92 of the output value, so we can write it down as x%=597.92.
5. Now we have two simple equations:
1) 100%=684.58
2) x%=597.92
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%=684.58/597.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 597.92 is what percent of 684.58

100%/x%=684.58/597.92
(100/x)*x=(684.58/597.92)*x       - we multiply both sides of the equation by x
100=1.1449357773615*x       - we divide both sides of the equation by (1.1449357773615) to get x
100/1.1449357773615=x
87.341143474831=x
x=87.341143474831

now we have:
597.92 is 87.341143474831% of 684.58