What is 36.49 percent of 20.408 - 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 20.408 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 20.408 is 100%, so we can write it down as 20.408=100%.
4. We know, that x is 36.49% of the output value, so we can write it down as x=36.49%.
5. Now we have two simple equations:
1) 20.408=100%
2) x=36.49%
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:
20.408/x=100%/36.49%
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 36.49% of 20.408

20.408/x=100/36.49
(20.408/x)*x=(100/36.49)*x       - we multiply both sides of the equation by x
20.408=2.7404768429707*x       - we divide both sides of the equation by (2.7404768429707) to get x
20.408/2.7404768429707=x
7.4468792=x
x=7.4468792

now we have:
36.49% of 20.408=7.4468792