What is 9.118 percent of 29.118 - 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 29.118 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 29.118 is 100%, so we can write it down as 29.118=100%.
4. We know, that x is 9.118% of the output value, so we can write it down as x=9.118%.
5. Now we have two simple equations:
1) 29.118=100%
2) x=9.118%
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:
29.118/x=100%/9.118%
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 9.118% of 29.118

29.118/x=100/9.118
(29.118/x)*x=(100/9.118)*x       - we multiply both sides of the equation by x
29.118=10.967317394165*x       - we divide both sides of the equation by (10.967317394165) to get x
29.118/10.967317394165=x
2.65497924=x
x=2.65497924

now we have:
9.118% of 29.118=2.65497924