11.09 is what percent of 29.99 - 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 29.99 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 29.99, so we can write it down as 100%=29.99.
4. We know, that x% equals 11.09 of the output value, so we can write it down as x%=11.09.
5. Now we have two simple equations:
1) 100%=29.99
2) x%=11.09
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%=29.99/11.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.09 is what percent of 29.99

100%/x%=29.99/11.09
(100/x)*x=(29.99/11.09)*x       - we multiply both sides of the equation by x
100=2.7042380522994*x       - we divide both sides of the equation by (2.7042380522994) to get x
100/2.7042380522994=x
36.978992997666=x
x=36.978992997666

now we have:
11.09 is 36.978992997666% of 29.99