What is 78.766666666667 percent of 80 - 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 80 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 80 is 100%, so we can write it down as 80=100%.
4. We know, that x is 78.766666666667% of the output value, so we can write it down as x=78.766666666667%.
5. Now we have two simple equations:
1) 80=100%
2) x=78.766666666667%
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:
80/x=100%/78.766666666667%
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 78.766666666667% of 80

80/x=100/78.766666666667
(80/x)*x=(100/78.766666666667)*x       - we multiply both sides of the equation by x
80=1.2695725772323*x       - we divide both sides of the equation by (1.2695725772323) to get x
80/1.2695725772323=x
63.013333333334=x
x=63.013333333334

now we have:
78.766666666667% of 80=63.013333333334