Conversion formula

The conversion factor from cups to gallons is 0.0625, which means that 1 cup is equal to 0.0625 gallons:

1 cup = 0.0625 gal

To convert 8204 cups into gallons we have to multiply 8204 by the conversion factor in order to get the volume amount from cups to gallons. We can also form a simple proportion to calculate the result:

1 cup → 0.0625 gal

8204 cup → V_(gal)

Solve the above proportion to obtain the volume V in gallons:

V_(gal) = 8204 cup × 0.0625 gal

V_(gal) = 512.75 gal

The final result is:

8204 cup → 512.75 gal

We conclude that 8204 cups is equivalent to 512.75 gallons:

8204 cups = 512.75 gallons

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 gallon is equal to 0.0019502681618723 × 8204 cups.

Another way is saying that 8204 cups is equal to 1 ÷ 0.0019502681618723 gallons.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that eight thousand two hundred four cups is approximately five hundred twelve point seven five gallons:

8204 cup ≅ 512.75 gal

An alternative is also that one gallon is approximately zero point zero zero two times eight thousand two hundred four cups.

Conversion table

cups to gallons chart

For quick reference purposes, below is the conversion table you can use to convert from cups to gallons