What is 16.7 percent of 16.7 - 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 16.7 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 16.7 is 100%, so we can write it down as 16.7=100%.
4. We know, that x is 16.7% of the output value, so we can write it down as x=16.7%.
5. Now we have two simple equations:
1) 16.7=100%
2) x=16.7%
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:
16.7/x=100%/16.7%
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 16.7% of 16.7

16.7/x=100/16.7
(16.7/x)*x=(100/16.7)*x       - we multiply both sides of the equation by x
16.7=5.9880239520958*x       - we divide both sides of the equation by (5.9880239520958) to get x
16.7/5.9880239520958=x
2.7889=x
x=2.7889

now we have:
16.7% of 16.7=2.7889