117.72 is what percent of 163.98 - 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 163.98 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 163.98, so we can write it down as 100%=163.98.
4. We know, that x% equals 117.72 of the output value, so we can write it down as x%=117.72.
5. Now we have two simple equations:
1) 100%=163.98
2) x%=117.72
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%=163.98/117.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.72 is what percent of 163.98

100%/x%=163.98/117.72
(100/x)*x=(163.98/117.72)*x       - we multiply both sides of the equation by x
100=1.3929663608563*x       - we divide both sides of the equation by (1.3929663608563) to get x
100/1.3929663608563=x
71.78924259056=x
x=71.78924259056

now we have:
117.72 is 71.78924259056% of 163.98