What is 39.58 percent of 38 - 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 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 is 100%, so we can write it down as 38=100%.
4. We know, that x is 39.58% of the output value, so we can write it down as x=39.58%.
5. Now we have two simple equations:
1) 38=100%
2) x=39.58%
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/x=100%/39.58%
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 39.58% of 38

38/x=100/39.58
(38/x)*x=(100/39.58)*x       - we multiply both sides of the equation by x
38=2.5265285497726*x       - we divide both sides of the equation by (2.5265285497726) to get x
38/2.5265285497726=x
15.0404=x
x=15.0404

now we have:
39.58% of 38=15.0404