22.24 is what percent of 5 - 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 5 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 5, so we can write it down as 100%=5.
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%=5
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%=5/22.24
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 5

100%/x%=5/22.24
(100/x)*x=(5/22.24)*x       - we multiply both sides of the equation by x
100=0.22482014388489*x       - we divide both sides of the equation by (0.22482014388489) to get x
100/0.22482014388489=x
444.8=x
x=444.8

now we have:
22.24 is 444.8% of 5