What is 8.4 percent of 380.447 - 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 380.447 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 380.447 is 100%, so we can write it down as 380.447=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) 380.447=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:
380.447/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 380.447

380.447/x=100/8.4
(380.447/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
380.447=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
380.447/11.904761904762=x
31.957548=x
x=31.957548

now we have:
8.4% of 380.447=31.957548