What is 6.59 percent of 39.71 - 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 39.71 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 39.71 is 100%, so we can write it down as 39.71=100%.
4. We know, that x is 6.59% of the output value, so we can write it down as x=6.59%.
5. Now we have two simple equations:
1) 39.71=100%
2) x=6.59%
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:
39.71/x=100%/6.59%
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 6.59% of 39.71

39.71/x=100/6.59
(39.71/x)*x=(100/6.59)*x       - we multiply both sides of the equation by x
39.71=15.174506828528*x       - we divide both sides of the equation by (15.174506828528) to get x
39.71/15.174506828528=x
2.616889=x
x=2.616889

now we have:
6.59% of 39.71=2.616889