252.6 is what percent of 637.95 - 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 637.95 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 637.95, so we can write it down as 100%=637.95.
4. We know, that x% equals 252.6 of the output value, so we can write it down as x%=252.6.
5. Now we have two simple equations:
1) 100%=637.95
2) x%=252.6
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%=637.95/252.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.6 is what percent of 637.95

100%/x%=637.95/252.6
(100/x)*x=(637.95/252.6)*x       - we multiply both sides of the equation by x
100=2.5255344418052*x       - we divide both sides of the equation by (2.5255344418052) to get x
100/2.5255344418052=x
39.595579590877=x
x=39.595579590877

now we have:
252.6 is 39.595579590877% of 637.95