508.08 is what percent of 371.2 - 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 371.2 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 371.2, so we can write it down as 100%=371.2.
4. We know, that x% equals 508.08 of the output value, so we can write it down as x%=508.08.
5. Now we have two simple equations:
1) 100%=371.2
2) x%=508.08
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%=371.2/508.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.08 is what percent of 371.2

100%/x%=371.2/508.08
(100/x)*x=(371.2/508.08)*x       - we multiply both sides of the equation by x
100=0.73059360730594*x       - we divide both sides of the equation by (0.73059360730594) to get x
100/0.73059360730594=x
136.875=x
x=136.875

now we have:
508.08 is 136.875% of 371.2