What is 28.909176 percent of 42.72 - 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 42.72 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 42.72 is 100%, so we can write it down as 42.72=100%.
4. We know, that x is 28.909176% of the output value, so we can write it down as x=28.909176%.
5. Now we have two simple equations:
1) 42.72=100%
2) x=28.909176%
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:
42.72/x=100%/28.909176%
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 28.909176% of 42.72

42.72/x=100/28.909176
(42.72/x)*x=(100/28.909176)*x       - we multiply both sides of the equation by x
42.72=3.459109315326*x       - we divide both sides of the equation by (3.459109315326) to get x
42.72/3.459109315326=x
12.3499999872=x
x=12.3499999872

now we have:
28.909176% of 42.72=12.3499999872