What is 39.6 percent of 106.8 - 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 106.8 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 106.8 is 100%, so we can write it down as 106.8=100%.
4. We know, that x is 39.6% of the output value, so we can write it down as x=39.6%.
5. Now we have two simple equations:
1) 106.8=100%
2) x=39.6%
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:
106.8/x=100%/39.6%
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 39.6% of 106.8

106.8/x=100/39.6
(106.8/x)*x=(100/39.6)*x       - we multiply both sides of the equation by x
106.8=2.5252525252525*x       - we divide both sides of the equation by (2.5252525252525) to get x
106.8/2.5252525252525=x
42.2928=x
x=42.2928

now we have:
39.6% of 106.8=42.2928