420 US customary cups in imperial cups

Conversion formula
How to convert 420 US customary cups to imperial cups?

We know (by definition) that: $1\mathrm{uscup}\approx 0.832674184628989\mathrm{brcup}$

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

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

Conclusion: 420 ⁢ uscup ≈ 349.72315754417536 ⁢ brcup

Conversion in the opposite direction

The inverse of the conversion factor is that 1 imperial cup is equal to 0.00285940458453537 times 420 US customary cups.

It can also be expressed as: 420 US customary cups is equal to $\frac{1}{\mathrm{0.00285940458453537}}$ imperial cups.

Approximation

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