What is 71.6666666667 percent of 12.85 - 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 12.85 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 12.85 is 100%, so we can write it down as 12.85=100%.
4. We know, that x is 71.6666666667% of the output value, so we can write it down as x=71.6666666667%.
5. Now we have two simple equations:
1) 12.85=100%
2) x=71.6666666667%
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:
12.85/x=100%/71.6666666667%
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 71.6666666667% of 12.85

12.85/x=100/71.6666666667
(12.85/x)*x=(100/71.6666666667)*x       - we multiply both sides of the equation by x
12.85=1.3953488372087*x       - we divide both sides of the equation by (1.3953488372087) to get x
12.85/1.3953488372087=x
9.2091666666709=x
x=9.2091666666709

now we have:
71.6666666667% of 12.85=9.2091666666709