110.95 is what percent of 3440.85 - 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 3440.85 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 3440.85, so we can write it down as 100%=3440.85.
4. We know, that x% equals 110.95 of the output value, so we can write it down as x%=110.95.
5. Now we have two simple equations:
1) 100%=3440.85
2) x%=110.95
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%=3440.85/110.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.95 is what percent of 3440.85

100%/x%=3440.85/110.95
(100/x)*x=(3440.85/110.95)*x       - we multiply both sides of the equation by x
100=31.01261829653*x       - we divide both sides of the equation by (31.01261829653) to get x
100/31.01261829653=x
3.2244939477164=x
x=3.2244939477164

now we have:
110.95 is 3.2244939477164% of 3440.85