224.42 is what percent of 1115.38 - 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 1115.38 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 1115.38, so we can write it down as 100%=1115.38.
4. We know, that x% equals 224.42 of the output value, so we can write it down as x%=224.42.
5. Now we have two simple equations:
1) 100%=1115.38
2) x%=224.42
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%=1115.38/224.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.42 is what percent of 1115.38

100%/x%=1115.38/224.42
(100/x)*x=(1115.38/224.42)*x       - we multiply both sides of the equation by x
100=4.9700561447286*x       - we divide both sides of the equation by (4.9700561447286) to get x
100/4.9700561447286=x
20.120497050333=x
x=20.120497050333

now we have:
224.42 is 20.120497050333% of 1115.38