87.73 is what percent of 580.75 - 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 580.75 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 580.75, so we can write it down as 100%=580.75.
4. We know, that x% equals 87.73 of the output value, so we can write it down as x%=87.73.
5. Now we have two simple equations:
1) 100%=580.75
2) x%=87.73
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%=580.75/87.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.73 is what percent of 580.75

100%/x%=580.75/87.73
(100/x)*x=(580.75/87.73)*x       - we multiply both sides of the equation by x
100=6.6197423914282*x       - we divide both sides of the equation by (6.6197423914282) to get x
100/6.6197423914282=x
15.106328024107=x
x=15.106328024107

now we have:
87.73 is 15.106328024107% of 580.75