2.6 is what percent of 110 - 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 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, so we can write it down as 100%=110.
4. We know, that x% equals 2.6 of the output value, so we can write it down as x%=2.6.
5. Now we have two simple equations:
1) 100%=110
2) x%=2.6
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%=110/2.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.6 is what percent of 110

100%/x%=110/2.6
(100/x)*x=(110/2.6)*x       - we multiply both sides of the equation by x
100=42.307692307692*x       - we divide both sides of the equation by (42.307692307692) to get x
100/42.307692307692=x
2.3636363636364=x
x=2.3636363636364

now we have:
2.6 is 2.3636363636364% of 110