122.98 is what percent of 110.747 - 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 110.747 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 110.747, so we can write it down as 100%=110.747.
4. We know, that x% equals 122.98 of the output value, so we can write it down as x%=122.98.
5. Now we have two simple equations:
1) 100%=110.747
2) x%=122.98
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%=110.747/122.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.98 is what percent of 110.747

100%/x%=110.747/122.98
(100/x)*x=(110.747/122.98)*x       - we multiply both sides of the equation by x
100=0.90052854122622*x       - we divide both sides of the equation by (0.90052854122622) to get x
100/0.90052854122622=x
111.0458974058=x
x=111.0458974058

now we have:
122.98 is 111.0458974058% of 110.747