What is 9.99999999999 percent of 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 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 is 100%, so we can write it down as 99=100%.
4. We know, that x is 9.99999999999% of the output value, so we can write it down as x=9.99999999999%.
5. Now we have two simple equations:
1) 99=100%
2) x=9.99999999999%
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/x=100%/9.99999999999%
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 9.99999999999% of 99

99/x=100/9.99999999999
(99/x)*x=(100/9.99999999999)*x       - we multiply both sides of the equation by x
99=10.00000000001*x       - we divide both sides of the equation by (10.00000000001) to get x
99/10.00000000001=x
9.8999999999901=x
x=9.8999999999901

now we have:
9.99999999999% of 99=9.8999999999901