11.54 is what percent of 20.49 - 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 20.49 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 20.49, so we can write it down as 100%=20.49.
4. We know, that x% equals 11.54 of the output value, so we can write it down as x%=11.54.
5. Now we have two simple equations:
1) 100%=20.49
2) x%=11.54
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%=20.49/11.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.54 is what percent of 20.49

100%/x%=20.49/11.54
(100/x)*x=(20.49/11.54)*x       - we multiply both sides of the equation by x
100=1.7755632582322*x       - we divide both sides of the equation by (1.7755632582322) to get x
100/1.7755632582322=x
56.320156173743=x
x=56.320156173743

now we have:
11.54 is 56.320156173743% of 20.49