What is 36.6666666667 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 110 is 100%, so we can write it down as 110=100%.
4. We know, that x is 36.6666666667% of the output value, so we can write it down as x=36.6666666667%.
5. Now we have two simple equations:
1) 110=100%
2) x=36.6666666667%
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:
110/x=100%/36.6666666667%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 36.6666666667% of 110

110/x=100/36.6666666667
(110/x)*x=(100/36.6666666667)*x       - we multiply both sides of the equation by x
110=2.7272727272702*x       - we divide both sides of the equation by (2.7272727272702) to get x
110/2.7272727272702=x
40.33333333337=x
x=40.33333333337

now we have:
36.6666666667% of 110=40.33333333337