72.61 is what percent of 580.91 - 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 580.91 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 580.91, so we can write it down as 100%=580.91.
4. We know, that x% equals 72.61 of the output value, so we can write it down as x%=72.61.
5. Now we have two simple equations:
1) 100%=580.91
2) x%=72.61
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%=580.91/72.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.61 is what percent of 580.91

100%/x%=580.91/72.61
(100/x)*x=(580.91/72.61)*x       - we multiply both sides of the equation by x
100=8.0004131662305*x       - we divide both sides of the equation by (8.0004131662305) to get x
100/8.0004131662305=x
12.499354461104=x
x=12.499354461104

now we have:
72.61 is 12.499354461104% of 580.91