11.68 is what 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 100% equals 29.07, so we can write it down as 100%=29.07.
4. We know, that x% equals 11.68 of the output value, so we can write it down as x%=11.68.
5. Now we have two simple equations:
1) 100%=29.07
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:
100%/x%=29.07/11.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.68 is what percent of 29.07

100%/x%=29.07/11.68
(100/x)*x=(29.07/11.68)*x       - we multiply both sides of the equation by x
100=2.4888698630137*x       - we divide both sides of the equation by (2.4888698630137) to get x
100/2.4888698630137=x
40.178878568971=x
x=40.178878568971

now we have:
11.68 is 40.178878568971% of 29.07