Convert US cup to UK pint
Unit definitions
US cup
The US cup is equal to $8$ US fluid ounces.
UK pint
$4$ UK gills are equal to $1$ UK pint.
How to convert US cup to UK pint
$$\text{Volume}_{\text{pt (uk)}} = \text{Volume}_{\text{cup (us)}} \cdot 0.4163370923144944336781717915835366$$
Examples
Example 1
Convert $25.0\ \text{cup (us)}$ to $\text{pt (uk)}$.
$$\text{Volume}_{\text{pt (uk)}} = 25.0 \cdot 0.4163370923144944336781717915835366$$
$$\text{Volume}_{\text{pt (uk)}} = 10.408427$$
$$\therefore \ 25.0\ \text{cup (us)} = 10.408427 \ \text{pt (uk)}$$
Example 2
Convert $75.0\ \text{cup (us)}$ to $\text{pt (uk)}$.
$$\text{Volume}_{\text{pt (uk)}} = 75.0 \cdot 0.4163370923144944336781717915835366$$
$$\text{Volume}_{\text{pt (uk)}} = 31.225282$$
$$\therefore \ 75.0\ \text{cup (us)} = 31.225282 \ \text{pt (uk)}$$
Example 3
Convert $100.0\ \text{cup (us)}$ to $\text{pt (uk)}$.
$$\text{Volume}_{\text{pt (uk)}} = 100.0 \cdot 0.4163370923144944336781717915835366$$
$$\text{Volume}_{\text{pt (uk)}} = 41.633709$$
$$\therefore \ 100.0\ \text{cup (us)} = 41.633709 \ \text{pt (uk)}$$
Example 4
Convert $150.0\ \text{cup (us)}$ to $\text{pt (uk)}$.
$$\text{Volume}_{\text{pt (uk)}} = 150.0 \cdot 0.4163370923144944336781717915835366$$
$$\text{Volume}_{\text{pt (uk)}} = 62.450564$$
$$\therefore \ 150.0\ \text{cup (us)} = 62.450564 \ \text{pt (uk)}$$
Example 5
Convert $185.0\ \text{cup (us)}$ to $\text{pt (uk)}$.
$$\text{Volume}_{\text{pt (uk)}} = 185.0 \cdot 0.4163370923144944336781717915835366$$
$$\text{Volume}_{\text{pt (uk)}} = 77.022362$$
$$\therefore \ 185.0\ \text{cup (us)} = 77.022362 \ \text{pt (uk)}$$