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 509.4 cups into gallons we have to multiply 509.4 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

509.4 cup → V_(gal)

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

V_(gal) = 509.4 cup × 0.0625 gal

V_(gal) = 31.8375 gal

The final result is:

509.4 cup → 31.8375 gal

We conclude that 509.4 cups is equivalent to 31.8375 gallons:

509.4 cups = 31.8375 gallons

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 gallon is equal to 0.031409501374166 × 509.4 cups.

Another way is saying that 509.4 cups is equal to 1 ÷ 0.031409501374166 gallons.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point four cups is approximately thirty-one point eight three eight gallons:

509.4 cup ≅ 31.838 gal

An alternative is also that one gallon is approximately zero point zero three one times five hundred nine point 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