# 424 imperial cups in US customary cups

## Conversion

424 imperial cups is equivalent to 509.202768414059 US customary cups.[1]

## Conversion formula How to convert 424 imperial cups to US customary cups?

We know (by definition) that: $1\mathrm{brcup}\approx 1.20094992550486\mathrm{uscup}$

We can set up a proportion to solve for the number of US customary cups.

$1 ⁢ brcup 424 ⁢ brcup ≈ 1.20094992550486 ⁢ uscup x ⁢ uscup$

Now, we cross multiply to solve for our unknown $x$:

$x\mathrm{uscup}\approx \frac{424\mathrm{brcup}}{1\mathrm{brcup}}*1.20094992550486\mathrm{uscup}\to x\mathrm{uscup}\approx 509.2027684140606\mathrm{uscup}$

Conclusion: $424 ⁢ brcup ≈ 509.2027684140606 ⁢ uscup$

## Conversion in the opposite direction

The inverse of the conversion factor is that 1 US customary cup is equal to 0.00196385420903063 times 424 imperial cups.

It can also be expressed as: 424 imperial cups is equal to $\frac{1}{\mathrm{0.00196385420903063}}$ US customary cups.

## Approximation

An approximate numerical result would be: four hundred and twenty-four imperial cups is about five hundred and nine point one nine US customary cups, or alternatively, a US customary cup is about zero times four hundred and twenty-four imperial cups.

## Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.