What is 16.65 percent of 38.49 - 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 38.49 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 38.49 is 100%, so we can write it down as 38.49=100%.
4. We know, that x is 16.65% of the output value, so we can write it down as x=16.65%.
5. Now we have two simple equations:
1) 38.49=100%
2) x=16.65%
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:
38.49/x=100%/16.65%
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 16.65% of 38.49

38.49/x=100/16.65
(38.49/x)*x=(100/16.65)*x       - we multiply both sides of the equation by x
38.49=6.006006006006*x       - we divide both sides of the equation by (6.006006006006) to get x
38.49/6.006006006006=x
6.408585=x
x=6.408585

now we have:
16.65% of 38.49=6.408585