107.5 is what percent of 164 - 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 164 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 164, so we can write it down as 100%=164.
4. We know, that x% equals 107.5 of the output value, so we can write it down as x%=107.5.
5. Now we have two simple equations:
1) 100%=164
2) x%=107.5
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%=164/107.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.5 is what percent of 164

100%/x%=164/107.5
(100/x)*x=(164/107.5)*x       - we multiply both sides of the equation by x
100=1.5255813953488*x       - we divide both sides of the equation by (1.5255813953488) to get x
100/1.5255813953488=x
65.548780487805=x
x=65.548780487805

now we have:
107.5 is 65.548780487805% of 164