110.45 is what percent of 112.79 - 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 112.79 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 112.79, so we can write it down as 100%=112.79.
4. We know, that x% equals 110.45 of the output value, so we can write it down as x%=110.45.
5. Now we have two simple equations:
1) 100%=112.79
2) x%=110.45
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%=112.79/110.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.45 is what percent of 112.79

100%/x%=112.79/110.45
(100/x)*x=(112.79/110.45)*x       - we multiply both sides of the equation by x
100=1.0211860570394*x       - we divide both sides of the equation by (1.0211860570394) to get x
100/1.0211860570394=x
97.925347991843=x
x=97.925347991843

now we have:
110.45 is 97.925347991843% of 112.79