252.4 is what percent of 2244.48 - 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 2244.48 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 2244.48, so we can write it down as 100%=2244.48.
4. We know, that x% equals 252.4 of the output value, so we can write it down as x%=252.4.
5. Now we have two simple equations:
1) 100%=2244.48
2) x%=252.4
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%=2244.48/252.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.4 is what percent of 2244.48

100%/x%=2244.48/252.4
(100/x)*x=(2244.48/252.4)*x       - we multiply both sides of the equation by x
100=8.89255150555*x       - we divide both sides of the equation by (8.89255150555) to get x
100/8.89255150555=x
11.24536641=x
x=11.24536641

now we have:
252.4 is 11.24536641% of 2244.48