72.16 is what percent of 100.53 - 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 100.53 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 100.53, so we can write it down as 100%=100.53.
4. We know, that x% equals 72.16 of the output value, so we can write it down as x%=72.16.
5. Now we have two simple equations:
1) 100%=100.53
2) x%=72.16
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%=100.53/72.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.16 is what percent of 100.53

100%/x%=100.53/72.16
(100/x)*x=(100.53/72.16)*x       - we multiply both sides of the equation by x
100=1.3931541019956*x       - we divide both sides of the equation by (1.3931541019956) to get x
100/1.3931541019956=x
71.779568288073=x
x=71.779568288073

now we have:
72.16 is 71.779568288073% of 100.53