What is 8.2666666666667 percent of 768 - 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 768 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 768 is 100%, so we can write it down as 768=100%.
4. We know, that x is 8.2666666666667% of the output value, so we can write it down as x=8.2666666666667%.
5. Now we have two simple equations:
1) 768=100%
2) x=8.2666666666667%
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:
768/x=100%/8.2666666666667%
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 8.2666666666667% of 768

768/x=100/8.2666666666667
(768/x)*x=(100/8.2666666666667)*x       - we multiply both sides of the equation by x
768=12.096774193548*x       - we divide both sides of the equation by (12.096774193548) to get x
768/12.096774193548=x
63.488=x
x=63.488

now we have:
8.2666666666667% of 768=63.488