What is 72.65 percent of 12.8 - 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 12.8 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 12.8 is 100%, so we can write it down as 12.8=100%.
4. We know, that x is 72.65% of the output value, so we can write it down as x=72.65%.
5. Now we have two simple equations:
1) 12.8=100%
2) x=72.65%
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:
12.8/x=100%/72.65%
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 72.65% of 12.8

12.8/x=100/72.65
(12.8/x)*x=(100/72.65)*x       - we multiply both sides of the equation by x
12.8=1.3764624913971*x       - we divide both sides of the equation by (1.3764624913971) to get x
12.8/1.3764624913971=x
9.2992=x
x=9.2992

now we have:
72.65% of 12.8=9.2992