37.24 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 37.24 of the output value, so we can write it down as x%=37.24.
5. Now we have two simple equations:
1) 100%=720
2) x%=37.24
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%=720/37.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.24 is what percent of 720

100%/x%=720/37.24
(100/x)*x=(720/37.24)*x       - we multiply both sides of the equation by x
100=19.334049409237*x       - we divide both sides of the equation by (19.334049409237) to get x
100/19.334049409237=x
5.1722222222222=x
x=5.1722222222222

now we have:
37.24 is 5.1722222222222% of 720