Conversion formula

The conversion factor from fluid ounces to cups is 0.125, which means that 1 fluid ounce is equal to 0.125 cups:

1 fl oz = 0.125 cup

To convert 509.4 fluid ounces into cups we have to multiply 509.4 by the conversion factor in order to get the volume amount from fluid ounces to cups. We can also form a simple proportion to calculate the result:

1 fl oz → 0.125 cup

509.4 fl oz → V_(cup)

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

V_(cup) = 509.4 fl oz × 0.125 cup

V_(cup) = 63.675 cup

The final result is:

509.4 fl oz → 63.675 cup

We conclude that 509.4 fluid ounces is equivalent to 63.675 cups:

509.4 fluid ounces = 63.675 cups

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 cup is equal to 0.015704750687083 × 509.4 fluid ounces.

Another way is saying that 509.4 fluid ounces is equal to 1 ÷ 0.015704750687083 cups.

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 fluid ounces is approximately sixty-three point six seven five cups:

509.4 fl oz ≅ 63.675 cup

An alternative is also that one cup is approximately zero point zero one six times five hundred nine point four fluid ounces.

Conversion table

fluid ounces to cups chart

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