22.44 is what percent of 240.24 - 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 240.24 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 240.24, so we can write it down as 100%=240.24.
4. We know, that x% equals 22.44 of the output value, so we can write it down as x%=22.44.
5. Now we have two simple equations:
1) 100%=240.24
2) x%=22.44
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%=240.24/22.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.44 is what percent of 240.24

100%/x%=240.24/22.44
(100/x)*x=(240.24/22.44)*x       - we multiply both sides of the equation by x
100=10.705882352941*x       - we divide both sides of the equation by (10.705882352941) to get x
100/10.705882352941=x
9.3406593406593=x
x=9.3406593406593

now we have:
22.44 is 9.3406593406593% of 240.24