What is 11.68 percent of 29.07 - 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 29.07 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 29.07 is 100%, so we can write it down as 29.07=100%.
4. We know, that x is 11.68% of the output value, so we can write it down as x=11.68%.
5. Now we have two simple equations:
1) 29.07=100%
2) x=11.68%
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:
29.07/x=100%/11.68%
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 11.68% of 29.07

29.07/x=100/11.68
(29.07/x)*x=(100/11.68)*x       - we multiply both sides of the equation by x
29.07=8.5616438356164*x       - we divide both sides of the equation by (8.5616438356164) to get x
29.07/8.5616438356164=x
3.395376=x
x=3.395376

now we have:
11.68% of 29.07=3.395376