What is 12.18 percent of 40.72 - 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 40.72 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 40.72 is 100%, so we can write it down as 40.72=100%.
4. We know, that x is 12.18% of the output value, so we can write it down as x=12.18%.
5. Now we have two simple equations:
1) 40.72=100%
2) x=12.18%
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:
40.72/x=100%/12.18%
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 12.18% of 40.72

40.72/x=100/12.18
(40.72/x)*x=(100/12.18)*x       - we multiply both sides of the equation by x
40.72=8.2101806239737*x       - we divide both sides of the equation by (8.2101806239737) to get x
40.72/8.2101806239737=x
4.959696=x
x=4.959696

now we have:
12.18% of 40.72=4.959696