What is 29.17 percent of 34.96 - 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 34.96 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 34.96 is 100%, so we can write it down as 34.96=100%.
4. We know, that x is 29.17% of the output value, so we can write it down as x=29.17%.
5. Now we have two simple equations:
1) 34.96=100%
2) x=29.17%
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:
34.96/x=100%/29.17%
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 29.17% of 34.96

34.96/x=100/29.17
(34.96/x)*x=(100/29.17)*x       - we multiply both sides of the equation by x
34.96=3.428179636613*x       - we divide both sides of the equation by (3.428179636613) to get x
34.96/3.428179636613=x
10.197832=x
x=10.197832

now we have:
29.17% of 34.96=10.197832