What is 12.96 percent of 76.55 - 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 76.55 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 76.55 is 100%, so we can write it down as 76.55=100%.
4. We know, that x is 12.96% of the output value, so we can write it down as x=12.96%.
5. Now we have two simple equations:
1) 76.55=100%
2) x=12.96%
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:
76.55/x=100%/12.96%
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 12.96% of 76.55

76.55/x=100/12.96
(76.55/x)*x=(100/12.96)*x       - we multiply both sides of the equation by x
76.55=7.716049382716*x       - we divide both sides of the equation by (7.716049382716) to get x
76.55/7.716049382716=x
9.92088=x
x=9.92088

now we have:
12.96% of 76.55=9.92088