557.5 is what percent of 2625 - 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 2625 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 2625, so we can write it down as 100%=2625.
4. We know, that x% equals 557.5 of the output value, so we can write it down as x%=557.5.
5. Now we have two simple equations:
1) 100%=2625
2) x%=557.5
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%=2625/557.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 557.5 is what percent of 2625

100%/x%=2625/557.5
(100/x)*x=(2625/557.5)*x       - we multiply both sides of the equation by x
100=4.7085201793722*x       - we divide both sides of the equation by (4.7085201793722) to get x
100/4.7085201793722=x
21.238095238095=x
x=21.238095238095

now we have:
557.5 is 21.238095238095% of 2625