What is 8.4 percent of 5.46 - 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 5.46 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 5.46 is 100%, so we can write it down as 5.46=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) 5.46=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:
5.46/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 5.46

5.46/x=100/8.4
(5.46/x)*x=(100/8.4)*x       - we multiply both sides of the equation by x
5.46=11.904761904762*x       - we divide both sides of the equation by (11.904761904762) to get x
5.46/11.904761904762=x
0.45864=x
x=0.45864

now we have:
8.4% of 5.46=0.45864