11.52 is what percent of 20.04 - 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 20.04 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 20.04, so we can write it down as 100%=20.04.
4. We know, that x% equals 11.52 of the output value, so we can write it down as x%=11.52.
5. Now we have two simple equations:
1) 100%=20.04
2) x%=11.52
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%=20.04/11.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.52 is what percent of 20.04

100%/x%=20.04/11.52
(100/x)*x=(20.04/11.52)*x       - we multiply both sides of the equation by x
100=1.7395833333333*x       - we divide both sides of the equation by (1.7395833333333) to get x
100/1.7395833333333=x
57.48502994012=x
x=57.48502994012

now we have:
11.52 is 57.48502994012% of 20.04