What is 13.2727 percent of 16.66667 - 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 16.66667 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 16.66667 is 100%, so we can write it down as 16.66667=100%.
4. We know, that x is 13.2727% of the output value, so we can write it down as x=13.2727%.
5. Now we have two simple equations:
1) 16.66667=100%
2) x=13.2727%
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:
16.66667/x=100%/13.2727%
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 13.2727% of 16.66667

16.66667/x=100/13.2727
(16.66667/x)*x=(100/13.2727)*x       - we multiply both sides of the equation by x
16.66667=7.5342620567029*x       - we divide both sides of the equation by (7.5342620567029) to get x
16.66667/7.5342620567029=x
2.21211710909=x
x=2.21211710909

now we have:
13.2727% of 16.66667=2.21211710909