22.24 is what percent of 249.24 - 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 249.24 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 249.24, so we can write it down as 100%=249.24.
4. We know, that x% equals 22.24 of the output value, so we can write it down as x%=22.24.
5. Now we have two simple equations:
1) 100%=249.24
2) x%=22.24
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%=249.24/22.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.24 is what percent of 249.24

100%/x%=249.24/22.24
(100/x)*x=(249.24/22.24)*x       - we multiply both sides of the equation by x
100=11.206834532374*x       - we divide both sides of the equation by (11.206834532374) to get x
100/11.206834532374=x
8.923126303964=x
x=8.923126303964

now we have:
22.24 is 8.923126303964% of 249.24