11.15 is what percent of 51.84 - 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 51.84 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 51.84, so we can write it down as 100%=51.84.
4. We know, that x% equals 11.15 of the output value, so we can write it down as x%=11.15.
5. Now we have two simple equations:
1) 100%=51.84
2) x%=11.15
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%=51.84/11.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.15 is what percent of 51.84

100%/x%=51.84/11.15
(100/x)*x=(51.84/11.15)*x       - we multiply both sides of the equation by x
100=4.6493273542601*x       - we divide both sides of the equation by (4.6493273542601) to get x
100/4.6493273542601=x
21.508487654321=x
x=21.508487654321

now we have:
11.15 is 21.508487654321% of 51.84