252.78 is what percent of 671.08 - 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 671.08 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 671.08, so we can write it down as 100%=671.08.
4. We know, that x% equals 252.78 of the output value, so we can write it down as x%=252.78.
5. Now we have two simple equations:
1) 100%=671.08
2) x%=252.78
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%=671.08/252.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.78 is what percent of 671.08

100%/x%=671.08/252.78
(100/x)*x=(671.08/252.78)*x       - we multiply both sides of the equation by x
100=2.6547986391328*x       - we divide both sides of the equation by (2.6547986391328) to get x
100/2.6547986391328=x
37.667640221732=x
x=37.667640221732

now we have:
252.78 is 37.667640221732% of 671.08