82 is what 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 100% equals 408, so we can write it down as 100%=408.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=408
2) x%=82
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:
100%/x%=408/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 408

100%/x%=408/82
(100/x)*x=(408/82)*x       - we multiply both sides of the equation by x
100=4.9756097560976*x       - we divide both sides of the equation by (4.9756097560976) to get x
100/4.9756097560976=x
20.098039215686=x
x=20.098039215686

now we have:
82 is 20.098039215686% of 408