22.24 is what percent of 18.18 - 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 18.18 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 18.18, so we can write it down as 100%=18.18.
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%=18.18
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%=18.18/22.24
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 18.18

100%/x%=18.18/22.24
(100/x)*x=(18.18/22.24)*x       - we multiply both sides of the equation by x
100=0.81744604316547*x       - we divide both sides of the equation by (0.81744604316547) to get x
100/0.81744604316547=x
122.33223322332=x
x=122.33223322332

now we have:
22.24 is 122.33223322332% of 18.18