11.52 is what percent of 21.73 - 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 21.73 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 21.73, so we can write it down as 100%=21.73.
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%=21.73
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%=21.73/11.52
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 21.73

100%/x%=21.73/11.52
(100/x)*x=(21.73/11.52)*x       - we multiply both sides of the equation by x
100=1.8862847222222*x       - we divide both sides of the equation by (1.8862847222222) to get x
100/1.8862847222222=x
53.014265991717=x
x=53.014265991717

now we have:
11.52 is 53.014265991717% of 21.73