37.2 is what percent of 97.99 - 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 97.99 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 97.99, so we can write it down as 100%=97.99.
4. We know, that x% equals 37.2 of the output value, so we can write it down as x%=37.2.
5. Now we have two simple equations:
1) 100%=97.99
2) x%=37.2
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%=97.99/37.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.2 is what percent of 97.99

100%/x%=97.99/37.2
(100/x)*x=(97.99/37.2)*x       - we multiply both sides of the equation by x
100=2.6341397849462*x       - we divide both sides of the equation by (2.6341397849462) to get x
100/2.6341397849462=x
37.963057454842=x
x=37.963057454842

now we have:
37.2 is 37.963057454842% of 97.99