110.39 is what percent of 3059.19 - 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 3059.19 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 3059.19, so we can write it down as 100%=3059.19.
4. We know, that x% equals 110.39 of the output value, so we can write it down as x%=110.39.
5. Now we have two simple equations:
1) 100%=3059.19
2) x%=110.39
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%=3059.19/110.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.39 is what percent of 3059.19

100%/x%=3059.19/110.39
(100/x)*x=(3059.19/110.39)*x       - we multiply both sides of the equation by x
100=27.71256454389*x       - we divide both sides of the equation by (27.71256454389) to get x
100/27.71256454389=x
3.6084715235079=x
x=3.6084715235079

now we have:
110.39 is 3.6084715235079% of 3059.19