What is 13.95 percent of 39.5 - 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 39.5 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 39.5 is 100%, so we can write it down as 39.5=100%.
4. We know, that x is 13.95% of the output value, so we can write it down as x=13.95%.
5. Now we have two simple equations:
1) 39.5=100%
2) x=13.95%
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:
39.5/x=100%/13.95%
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 13.95% of 39.5

39.5/x=100/13.95
(39.5/x)*x=(100/13.95)*x       - we multiply both sides of the equation by x
39.5=7.168458781362*x       - we divide both sides of the equation by (7.168458781362) to get x
39.5/7.168458781362=x
5.51025=x
x=5.51025

now we have:
13.95% of 39.5=5.51025