36.64 is what percent of 304.27 - 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 304.27 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 304.27, so we can write it down as 100%=304.27.
4. We know, that x% equals 36.64 of the output value, so we can write it down as x%=36.64.
5. Now we have two simple equations:
1) 100%=304.27
2) x%=36.64
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%=304.27/36.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.64 is what percent of 304.27

100%/x%=304.27/36.64
(100/x)*x=(304.27/36.64)*x       - we multiply both sides of the equation by x
100=8.3043122270742*x       - we divide both sides of the equation by (8.3043122270742) to get x
100/8.3043122270742=x
12.041936438032=x
x=12.041936438032

now we have:
36.64 is 12.041936438032% of 304.27