111.25 is what percent of 100 - 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 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, so we can write it down as 100%=100.
4. We know, that x% equals 111.25 of the output value, so we can write it down as x%=111.25.
5. Now we have two simple equations:
1) 100%=100
2) x%=111.25
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%=100/111.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.25 is what percent of 100

100%/x%=100/111.25
(100/x)*x=(100/111.25)*x       - we multiply both sides of the equation by x
100=0.89887640449438*x       - we divide both sides of the equation by (0.89887640449438) to get x
100/0.89887640449438=x
111.25=x
x=111.25

now we have:
111.25 is 111.25% of 100