56.87 is what percent of 624 - 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 624 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 624, so we can write it down as 100%=624.
4. We know, that x% equals 56.87 of the output value, so we can write it down as x%=56.87.
5. Now we have two simple equations:
1) 100%=624
2) x%=56.87
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%=624/56.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.87 is what percent of 624

100%/x%=624/56.87
(100/x)*x=(624/56.87)*x       - we multiply both sides of the equation by x
100=10.972393177422*x       - we divide both sides of the equation by (10.972393177422) to get x
100/10.972393177422=x
9.1137820512821=x
x=9.1137820512821

now we have:
56.87 is 9.1137820512821% of 624