9 is what percent of 22.5 - 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 22.5 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 22.5, so we can write it down as 100%=22.5.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=22.5
2) x%=9
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%=22.5/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 22.5

100%/x%=22.5/9
(100/x)*x=(22.5/9)*x       - we multiply both sides of the equation by x
100=2.5*x       - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40

now we have:
9 is 40% of 22.5