What is 8.333333333 percent of 96 - 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 96 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 96 is 100%, so we can write it down as 96=100%.
4. We know, that x is 8.333333333% of the output value, so we can write it down as x=8.333333333%.
5. Now we have two simple equations:
1) 96=100%
2) x=8.333333333%
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:
96/x=100%/8.333333333%
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 8.333333333% of 96

96/x=100/8.333333333
(96/x)*x=(100/8.333333333)*x       - we multiply both sides of the equation by x
96=12.00000000048*x       - we divide both sides of the equation by (12.00000000048) to get x
96/12.00000000048=x
7.99999999968=x
x=7.99999999968

now we have:
8.333333333% of 96=7.99999999968