What is 999.99 percent of 99.99 - 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 99.99 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 99.99 is 100%, so we can write it down as 99.99=100%.
4. We know, that x is 999.99% of the output value, so we can write it down as x=999.99%.
5. Now we have two simple equations:
1) 99.99=100%
2) x=999.99%
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:
99.99/x=100%/999.99%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 999.99% of 99.99

99.99/x=100/999.99
(99.99/x)*x=(100/999.99)*x       - we multiply both sides of the equation by x
99.99=0.10000100001*x       - we divide both sides of the equation by (0.10000100001) to get x
99.99/0.10000100001=x
999.890001=x
x=999.890001

now we have:
999.99% of 99.99=999.890001