What is 38.56 percent of 3.9 - 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 3.9 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 3.9 is 100%, so we can write it down as 3.9=100%.
4. We know, that x is 38.56% of the output value, so we can write it down as x=38.56%.
5. Now we have two simple equations:
1) 3.9=100%
2) x=38.56%
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:
3.9/x=100%/38.56%
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 38.56% of 3.9

3.9/x=100/38.56
(3.9/x)*x=(100/38.56)*x       - we multiply both sides of the equation by x
3.9=2.5933609958506*x       - we divide both sides of the equation by (2.5933609958506) to get x
3.9/2.5933609958506=x
1.50384=x
x=1.50384

now we have:
38.56% of 3.9=1.50384