What is 20.83 percent of 480 - 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 480 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 480 is 100%, so we can write it down as 480=100%.
4. We know, that x is 20.83% of the output value, so we can write it down as x=20.83%.
5. Now we have two simple equations:
1) 480=100%
2) x=20.83%
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:
480/x=100%/20.83%
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 20.83% of 480

480/x=100/20.83
(480/x)*x=(100/20.83)*x       - we multiply both sides of the equation by x
480=4.8007681228997*x       - we divide both sides of the equation by (4.8007681228997) to get x
480/4.8007681228997=x
99.984=x
x=99.984

now we have:
20.83% of 480=99.984