36.68 is what percent of 508.5 - 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 508.5 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 508.5, so we can write it down as 100%=508.5.
4. We know, that x% equals 36.68 of the output value, so we can write it down as x%=36.68.
5. Now we have two simple equations:
1) 100%=508.5
2) x%=36.68
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%=508.5/36.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.68 is what percent of 508.5

100%/x%=508.5/36.68
(100/x)*x=(508.5/36.68)*x       - we multiply both sides of the equation by x
100=13.863140676118*x       - we divide both sides of the equation by (13.863140676118) to get x
100/13.863140676118=x
7.2133726647001=x
x=7.2133726647001

now we have:
36.68 is 7.2133726647001% of 508.5