9.99 is what percent of 21.95 - 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 21.95 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 21.95, so we can write it down as 100%=21.95.
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%=21.95
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%=21.95/9.99
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 21.95

100%/x%=21.95/9.99
(100/x)*x=(21.95/9.99)*x       - we multiply both sides of the equation by x
100=2.1971971971972*x       - we divide both sides of the equation by (2.1971971971972) to get x
100/2.1971971971972=x
45.512528473804=x
x=45.512528473804

now we have:
9.99 is 45.512528473804% of 21.95