110.48 is what percent of 128.58 - 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 128.58 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 128.58, so we can write it down as 100%=128.58.
4. We know, that x% equals 110.48 of the output value, so we can write it down as x%=110.48.
5. Now we have two simple equations:
1) 100%=128.58
2) x%=110.48
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%=128.58/110.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.48 is what percent of 128.58

100%/x%=128.58/110.48
(100/x)*x=(128.58/110.48)*x       - we multiply both sides of the equation by x
100=1.163830557567*x       - we divide both sides of the equation by (1.163830557567) to get x
100/1.163830557567=x
85.923160678177=x
x=85.923160678177

now we have:
110.48 is 85.923160678177% of 128.58