What is 20.4 percent of 408 - 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 408 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 408 is 100%, so we can write it down as 408=100%.
4. We know, that x is 20.4% of the output value, so we can write it down as x=20.4%.
5. Now we have two simple equations:
1) 408=100%
2) x=20.4%
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:
408/x=100%/20.4%
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 20.4% of 408

408/x=100/20.4
(408/x)*x=(100/20.4)*x       - we multiply both sides of the equation by x
408=4.9019607843137*x       - we divide both sides of the equation by (4.9019607843137) to get x
408/4.9019607843137=x
83.232=x
x=83.232

now we have:
20.4% of 408=83.232