What is 38.802 percent of 0.07 - 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 0.07 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 0.07 is 100%, so we can write it down as 0.07=100%.
4. We know, that x is 38.802% of the output value, so we can write it down as x=38.802%.
5. Now we have two simple equations:
1) 0.07=100%
2) x=38.802%
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:
0.07/x=100%/38.802%
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 38.802% of 0.07

0.07/x=100/38.802
(0.07/x)*x=(100/38.802)*x       - we multiply both sides of the equation by x
0.07=2.5771867429514*x       - we divide both sides of the equation by (2.5771867429514) to get x
0.07/2.5771867429514=x
0.0271614=x
x=0.0271614

now we have:
38.802% of 0.07=0.0271614