9.99 is what percent of 111.88 - 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 111.88 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 111.88, so we can write it down as 100%=111.88.
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%=111.88
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%=111.88/9.99
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 111.88

100%/x%=111.88/9.99
(100/x)*x=(111.88/9.99)*x       - we multiply both sides of the equation by x
100=11.199199199199*x       - we divide both sides of the equation by (11.199199199199) to get x
100/11.199199199199=x
8.9292098677154=x
x=8.9292098677154

now we have:
9.99 is 8.9292098677154% of 111.88