600.25 is what percent of 638 - 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 638 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 638, so we can write it down as 100%=638.
4. We know, that x% equals 600.25 of the output value, so we can write it down as x%=600.25.
5. Now we have two simple equations:
1) 100%=638
2) x%=600.25
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%=638/600.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600.25 is what percent of 638

100%/x%=638/600.25
(100/x)*x=(638/600.25)*x       - we multiply both sides of the equation by x
100=1.0628904623074*x       - we divide both sides of the equation by (1.0628904623074) to get x
100/1.0628904623074=x
94.083072100313=x
x=94.083072100313

now we have:
600.25 is 94.083072100313% of 638