What is 8.4 percent of 9.999 - 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 9.999 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 9.999 is 100%, so we can write it down as 9.999=100%.
4. We know, that x is 8.4% of the output value, so we can write it down as x=8.4%.
5. Now we have two simple equations:
1) 9.999=100%
2) x=8.4%
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:
9.999/x=100%/8.4%
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 8.4% of 9.999

9.999/x=100/8.4
(9.999/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
9.999=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
9.999/11.904761904762=x
0.839916=x
x=0.839916

now we have:
8.4% of 9.999=0.839916