9.99 is what percent of 22 - 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 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, so we can write it down as 100%=22.
4. We know, that x% equals 9.99 of the output value, so we can write it down as x%=9.99.
5. Now we have two simple equations:
1) 100%=22
2) x%=9.99
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%=22/9.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.99 is what percent of 22

100%/x%=22/9.99
(100/x)*x=(22/9.99)*x       - we multiply both sides of the equation by x
100=2.2022022022022*x       - we divide both sides of the equation by (2.2022022022022) to get x
100/2.2022022022022=x
45.409090909091=x
x=45.409090909091

now we have:
9.99 is 45.409090909091% of 22