What is 8.09 percent of 11.35 - 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 11.35 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 11.35 is 100%, so we can write it down as 11.35=100%.
4. We know, that x is 8.09% of the output value, so we can write it down as x=8.09%.
5. Now we have two simple equations:
1) 11.35=100%
2) x=8.09%
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:
11.35/x=100%/8.09%
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 8.09% of 11.35

11.35/x=100/8.09
(11.35/x)*x=(100/8.09)*x       - we multiply both sides of the equation by x
11.35=12.360939431397*x       - we divide both sides of the equation by (12.360939431397) to get x
11.35/12.360939431397=x
0.918215=x
x=0.918215

now we have:
8.09% of 11.35=0.918215