What is 9.41 percent of 106.864 - 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 106.864 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 106.864 is 100%, so we can write it down as 106.864=100%.
4. We know, that x is 9.41% of the output value, so we can write it down as x=9.41%.
5. Now we have two simple equations:
1) 106.864=100%
2) x=9.41%
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:
106.864/x=100%/9.41%
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 9.41% of 106.864

106.864/x=100/9.41
(106.864/x)*x=(100/9.41)*x       - we multiply both sides of the equation by x
106.864=10.626992561105*x       - we divide both sides of the equation by (10.626992561105) to get x
106.864/10.626992561105=x
10.0559024=x
x=10.0559024

now we have:
9.41% of 106.864=10.0559024