What is 11.81 percent of 8.81 - 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 8.81 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 8.81 is 100%, so we can write it down as 8.81=100%.
4. We know, that x is 11.81% of the output value, so we can write it down as x=11.81%.
5. Now we have two simple equations:
1) 8.81=100%
2) x=11.81%
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:
8.81/x=100%/11.81%
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 11.81% of 8.81

8.81/x=100/11.81
(8.81/x)*x=(100/11.81)*x       - we multiply both sides of the equation by x
8.81=8.467400508044*x       - we divide both sides of the equation by (8.467400508044) to get x
8.81/8.467400508044=x
1.040461=x
x=1.040461

now we have:
11.81% of 8.81=1.040461