What is 7.86 percent of 107.37 - 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 107.37 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 107.37 is 100%, so we can write it down as 107.37=100%.
4. We know, that x is 7.86% of the output value, so we can write it down as x=7.86%.
5. Now we have two simple equations:
1) 107.37=100%
2) x=7.86%
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:
107.37/x=100%/7.86%
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 7.86% of 107.37

107.37/x=100/7.86
(107.37/x)*x=(100/7.86)*x       - we multiply both sides of the equation by x
107.37=12.722646310433*x       - we divide both sides of the equation by (12.722646310433) to get x
107.37/12.722646310433=x
8.439282=x
x=8.439282

now we have:
7.86% of 107.37=8.439282