9.9 is what percent of 22.8 - 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 22.8 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 22.8, so we can write it down as 100%=22.8.
4. We know, that x% equals 9.9 of the output value, so we can write it down as x%=9.9.
5. Now we have two simple equations:
1) 100%=22.8
2) x%=9.9
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%=22.8/9.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.9 is what percent of 22.8

100%/x%=22.8/9.9
(100/x)*x=(22.8/9.9)*x       - we multiply both sides of the equation by x
100=2.3030303030303*x       - we divide both sides of the equation by (2.3030303030303) to get x
100/2.3030303030303=x
43.421052631579=x
x=43.421052631579

now we have:
9.9 is 43.421052631579% of 22.8