What is 12.55 percent of 39.95 - 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 39.95 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 39.95 is 100%, so we can write it down as 39.95=100%.
4. We know, that x is 12.55% of the output value, so we can write it down as x=12.55%.
5. Now we have two simple equations:
1) 39.95=100%
2) x=12.55%
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:
39.95/x=100%/12.55%
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 12.55% of 39.95

39.95/x=100/12.55
(39.95/x)*x=(100/12.55)*x       - we multiply both sides of the equation by x
39.95=7.9681274900398*x       - we divide both sides of the equation by (7.9681274900398) to get x
39.95/7.9681274900398=x
5.013725=x
x=5.013725

now we have:
12.55% of 39.95=5.013725