What is 128.571428571 percent of 11.5 - 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 11.5 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 11.5 is 100%, so we can write it down as 11.5=100%.
4. We know, that x is 128.571428571% of the output value, so we can write it down as x=128.571428571%.
5. Now we have two simple equations:
1) 11.5=100%
2) x=128.571428571%
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:
11.5/x=100%/128.571428571%
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 128.571428571% of 11.5

11.5/x=100/128.571428571
(11.5/x)*x=(100/128.571428571)*x       - we multiply both sides of the equation by x
11.5=0.77777777778037*x       - we divide both sides of the equation by (0.77777777778037) to get x
11.5/0.77777777778037=x
14.785714285665=x
x=14.785714285665

now we have:
128.571428571% of 11.5=14.785714285665