What is 8.4 percent of 984.64 - 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 984.64 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 984.64 is 100%, so we can write it down as 984.64=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) 984.64=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:
984.64/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 984.64

984.64/x=100/8.4
(984.64/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
984.64=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
984.64/11.904761904762=x
82.70976=x
x=82.70976

now we have:
8.4% of 984.64=82.70976