998 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 998 of the output value, so we can write it down as x%=998.
5. Now we have two simple equations:
1) 100%=9
2) x%=998
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%=9/998
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 998 is what percent of 9

100%/x%=9/998
(100/x)*x=(9/998)*x       - we multiply both sides of the equation by x
100=0.0090180360721443*x       - we divide both sides of the equation by (0.0090180360721443) to get x
100/0.0090180360721443=x
11088.888888889=x
x=11088.888888889

now we have:
998 is 11088.888888889% of 9