508.33 is what percent of 3627.3 - 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 3627.3 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 3627.3, so we can write it down as 100%=3627.3.
4. We know, that x% equals 508.33 of the output value, so we can write it down as x%=508.33.
5. Now we have two simple equations:
1) 100%=3627.3
2) x%=508.33
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%=3627.3/508.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.33 is what percent of 3627.3

100%/x%=3627.3/508.33
(100/x)*x=(3627.3/508.33)*x       - we multiply both sides of the equation by x
100=7.135718922747*x       - we divide both sides of the equation by (7.135718922747) to get x
100/7.135718922747=x
14.014004907231=x
x=14.014004907231

now we have:
508.33 is 14.014004907231% of 3627.3