What is 99.9999 percent of 299 - 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 299 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 299 is 100%, so we can write it down as 299=100%.
4. We know, that x is 99.9999% of the output value, so we can write it down as x=99.9999%.
5. Now we have two simple equations:
1) 299=100%
2) x=99.9999%
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:
299/x=100%/99.9999%
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 99.9999% of 299

299/x=100/99.9999
(299/x)*x=(100/99.9999)*x       - we multiply both sides of the equation by x
299=1.000001000001*x       - we divide both sides of the equation by (1.000001000001) to get x
299/1.000001000001=x
298.999701=x
x=298.999701

now we have:
99.9999% of 299=298.999701