What is 7.2 percent of 0.078 - 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 0.078 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 0.078 is 100%, so we can write it down as 0.078=100%.
4. We know, that x is 7.2% of the output value, so we can write it down as x=7.2%.
5. Now we have two simple equations:
1) 0.078=100%
2) x=7.2%
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:
0.078/x=100%/7.2%
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 7.2% of 0.078

0.078/x=100/7.2
(0.078/x)*x=(100/7.2)*x       - we multiply both sides of the equation by x
0.078=13.888888888889*x       - we divide both sides of the equation by (13.888888888889) to get x
0.078/13.888888888889=x
0.005616=x
x=0.005616

now we have:
7.2% of 0.078=0.005616