7.2 is what percent of 55.2 - 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 55.2 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 55.2, so we can write it down as 100%=55.2.
4. We know, that x% equals 7.2 of the output value, so we can write it down as x%=7.2.
5. Now we have two simple equations:
1) 100%=55.2
2) x%=7.2
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%=55.2/7.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.2 is what percent of 55.2

100%/x%=55.2/7.2
(100/x)*x=(55.2/7.2)*x       - we multiply both sides of the equation by x
100=7.6666666666667*x       - we divide both sides of the equation by (7.6666666666667) to get x
100/7.6666666666667=x
13.04347826087=x
x=13.04347826087

now we have:
7.2 is 13.04347826087% of 55.2