254.25 is what percent of 624.16 - 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 624.16 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 624.16, so we can write it down as 100%=624.16.
4. We know, that x% equals 254.25 of the output value, so we can write it down as x%=254.25.
5. Now we have two simple equations:
1) 100%=624.16
2) x%=254.25
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%=624.16/254.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.25 is what percent of 624.16

100%/x%=624.16/254.25
(100/x)*x=(624.16/254.25)*x       - we multiply both sides of the equation by x
100=2.4549065880039*x       - we divide both sides of the equation by (2.4549065880039) to get x
100/2.4549065880039=x
40.734747500641=x
x=40.734747500641

now we have:
254.25 is 40.734747500641% of 624.16