Convert from button measure to Scots mile

Unit Definition (button measure)
The button measure is a unit of distance equal to 1/40 inch (0.635 millimeter), used to measure the thickness of buttons.

Unit Definition (Scots mile)
The Scots mile is a traditional distance units in Scotland. The Scots mile equals 320 falls or 5920 Scots feet, which is about 5952 English feet (1.127 English mile or 1814.2 meters). The English foot and statute mile, of course, are now official in Scotland.