What is 39.33 percent of 0.108 - 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 0.108 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 0.108 is 100%, so we can write it down as 0.108=100%.
4. We know, that x is 39.33% of the output value, so we can write it down as x=39.33%.
5. Now we have two simple equations:
1) 0.108=100%
2) x=39.33%
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:
0.108/x=100%/39.33%
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 39.33% of 0.108

0.108/x=100/39.33
(0.108/x)*x=(100/39.33)*x       - we multiply both sides of the equation by x
0.108=2.5425883549453*x       - we divide both sides of the equation by (2.5425883549453) to get x
0.108/2.5425883549453=x
0.0424764=x
x=0.0424764

now we have:
39.33% of 0.108=0.0424764