What is 0.9999 percent of 409.6 - 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 409.6 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 409.6 is 100%, so we can write it down as 409.6=100%.
4. We know, that x is 0.9999% of the output value, so we can write it down as x=0.9999%.
5. Now we have two simple equations:
1) 409.6=100%
2) x=0.9999%
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:
409.6/x=100%/0.9999%
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 0.9999% of 409.6

409.6/x=100/0.9999
(409.6/x)*x=(100/0.9999)*x       - we multiply both sides of the equation by x
409.6=100.0100010001*x       - we divide both sides of the equation by (100.0100010001) to get x
409.6/100.0100010001=x
4.0955904=x
x=4.0955904

now we have:
0.9999% of 409.6=4.0955904