108.75 is what percent of 126.875 - 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 126.875 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 126.875, so we can write it down as 100%=126.875.
4. We know, that x% equals 108.75 of the output value, so we can write it down as x%=108.75.
5. Now we have two simple equations:
1) 100%=126.875
2) x%=108.75
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%=126.875/108.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.75 is what percent of 126.875

100%/x%=126.875/108.75
(100/x)*x=(126.875/108.75)*x       - we multiply both sides of the equation by x
100=1.1666666666667*x       - we divide both sides of the equation by (1.1666666666667) to get x
100/1.1666666666667=x
85.714285714286=x
x=85.714285714286

now we have:
108.75 is 85.714285714286% of 126.875