# 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.

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

## 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.