37.92 is what percent of 728.13 - 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 728.13 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 728.13, so we can write it down as 100%=728.13.
4. We know, that x% equals 37.92 of the output value, so we can write it down as x%=37.92.
5. Now we have two simple equations:
1) 100%=728.13
2) x%=37.92
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%=728.13/37.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.92 is what percent of 728.13

100%/x%=728.13/37.92
(100/x)*x=(728.13/37.92)*x       - we multiply both sides of the equation by x
100=19.201740506329*x       - we divide both sides of the equation by (19.201740506329) to get x
100/19.201740506329=x
5.2078612335709=x
x=5.2078612335709

now we have:
37.92 is 5.2078612335709% of 728.13