What is 8.14 percent of 11.29 - 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 11.29 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 11.29 is 100%, so we can write it down as 11.29=100%.
4. We know, that x is 8.14% of the output value, so we can write it down as x=8.14%.
5. Now we have two simple equations:
1) 11.29=100%
2) x=8.14%
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:
11.29/x=100%/8.14%
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 8.14% of 11.29

11.29/x=100/8.14
(11.29/x)*x=(100/8.14)*x       - we multiply both sides of the equation by x
11.29=12.285012285012*x       - we divide both sides of the equation by (12.285012285012) to get x
11.29/12.285012285012=x
0.919006=x
x=0.919006

now we have:
8.14% of 11.29=0.919006