13.09 is what percent of 33.99 - 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 33.99 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 33.99, so we can write it down as 100%=33.99.
4. We know, that x% equals 13.09 of the output value, so we can write it down as x%=13.09.
5. Now we have two simple equations:
1) 100%=33.99
2) x%=13.09
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%=33.99/13.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.09 is what percent of 33.99

100%/x%=33.99/13.09
(100/x)*x=(33.99/13.09)*x       - we multiply both sides of the equation by x
100=2.5966386554622*x       - we divide both sides of the equation by (2.5966386554622) to get x
100/2.5966386554622=x
38.511326860841=x
x=38.511326860841

now we have:
13.09 is 38.511326860841% of 33.99