11.99 is what percent of 41.09 - 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 41.09 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 41.09, so we can write it down as 100%=41.09.
4. We know, that x% equals 11.99 of the output value, so we can write it down as x%=11.99.
5. Now we have two simple equations:
1) 100%=41.09
2) x%=11.99
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%=41.09/11.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.99 is what percent of 41.09

100%/x%=41.09/11.99
(100/x)*x=(41.09/11.99)*x       - we multiply both sides of the equation by x
100=3.4270225187656*x       - we divide both sides of the equation by (3.4270225187656) to get x
100/3.4270225187656=x
29.179849111706=x
x=29.179849111706

now we have:
11.99 is 29.179849111706% of 41.09