106.75 is what percent of 122.5 - 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 122.5 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 122.5, so we can write it down as 100%=122.5.
4. We know, that x% equals 106.75 of the output value, so we can write it down as x%=106.75.
5. Now we have two simple equations:
1) 100%=122.5
2) x%=106.75
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%=122.5/106.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.75 is what percent of 122.5

100%/x%=122.5/106.75
(100/x)*x=(122.5/106.75)*x       - we multiply both sides of the equation by x
100=1.1475409836066*x       - we divide both sides of the equation by (1.1475409836066) to get x
100/1.1475409836066=x
87.142857142857=x
x=87.142857142857

now we have:
106.75 is 87.142857142857% of 122.5