What is 8.3333 percent of 86 - 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 86 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 86 is 100%, so we can write it down as 86=100%.
4. We know, that x is 8.3333% of the output value, so we can write it down as x=8.3333%.
5. Now we have two simple equations:
1) 86=100%
2) x=8.3333%
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:
86/x=100%/8.3333%
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 8.3333% of 86

86/x=100/8.3333
(86/x)*x=(100/8.3333)*x       - we multiply both sides of the equation by x
86=12.000048000192*x       - we divide both sides of the equation by (12.000048000192) to get x
86/12.000048000192=x
7.166638=x
x=7.166638

now we have:
8.3333% of 86=7.166638