4221.24 is what percent of 12665 - 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 12665 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 12665, so we can write it down as 100%=12665.
4. We know, that x% equals 4221.24 of the output value, so we can write it down as x%=4221.24.
5. Now we have two simple equations:
1) 100%=12665
2) x%=4221.24
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%=12665/4221.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4221.24 is what percent of 12665

100%/x%=12665/4221.24
(100/x)*x=(12665/4221.24)*x       - we multiply both sides of the equation by x
100=3.0003032284352*x       - we divide both sides of the equation by (3.0003032284352) to get x
100/3.0003032284352=x
33.329964469009=x
x=33.329964469009

now we have:
4221.24 is 33.329964469009% of 12665