36.92 is what percent of 475.72 - 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 475.72 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 475.72, so we can write it down as 100%=475.72.
4. We know, that x% equals 36.92 of the output value, so we can write it down as x%=36.92.
5. Now we have two simple equations:
1) 100%=475.72
2) x%=36.92
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%=475.72/36.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.92 is what percent of 475.72

100%/x%=475.72/36.92
(100/x)*x=(475.72/36.92)*x       - we multiply both sides of the equation by x
100=12.885157096425*x       - we divide both sides of the equation by (12.885157096425) to get x
100/12.885157096425=x
7.7608677373245=x
x=7.7608677373245

now we have:
36.92 is 7.7608677373245% of 475.72