What is 11.54 percent of 77.13 - 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 77.13 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 77.13 is 100%, so we can write it down as 77.13=100%.
4. We know, that x is 11.54% of the output value, so we can write it down as x=11.54%.
5. Now we have two simple equations:
1) 77.13=100%
2) x=11.54%
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:
77.13/x=100%/11.54%
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 11.54% of 77.13

77.13/x=100/11.54
(77.13/x)*x=(100/11.54)*x       - we multiply both sides of the equation by x
77.13=8.6655112651646*x       - we divide both sides of the equation by (8.6655112651646) to get x
77.13/8.6655112651646=x
8.900802=x
x=8.900802

now we have:
11.54% of 77.13=8.900802