What is 47.1 percent of 16.4 - 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 16.4 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 16.4 is 100%, so we can write it down as 16.4=100%.
4. We know, that x is 47.1% of the output value, so we can write it down as x=47.1%.
5. Now we have two simple equations:
1) 16.4=100%
2) x=47.1%
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:
16.4/x=100%/47.1%
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 47.1% of 16.4

16.4/x=100/47.1
(16.4/x)*x=(100/47.1)*x       - we multiply both sides of the equation by x
16.4=2.1231422505308*x       - we divide both sides of the equation by (2.1231422505308) to get x
16.4/2.1231422505308=x
7.7244=x
x=7.7244

now we have:
47.1% of 16.4=7.7244