What is 16.6 percent of 36.6 - 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 36.6 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 36.6 is 100%, so we can write it down as 36.6=100%.
4. We know, that x is 16.6% of the output value, so we can write it down as x=16.6%.
5. Now we have two simple equations:
1) 36.6=100%
2) x=16.6%
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:
36.6/x=100%/16.6%
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 16.6% of 36.6

36.6/x=100/16.6
(36.6/x)*x=(100/16.6)*x       - we multiply both sides of the equation by x
36.6=6.0240963855422*x       - we divide both sides of the equation by (6.0240963855422) to get x
36.6/6.0240963855422=x
6.0756=x
x=6.0756

now we have:
16.6% of 36.6=6.0756