The working-days calculator counts the days between two dates that are neither weekends nor bank holidays. It is the tool that matters most on a British site, because the United Kingdom does not have one holiday list but three — one for England and Wales, one for Scotland and one for Northern Ireland — and they differ in several places every year.
Concretely: Easter Monday is a bank holiday in England, Wales and Northern Ireland but not in Scotland, which instead has 2 January. The summer bank holiday is the last Monday in August for England, Wales and Northern Ireland and the first Monday in August for Scotland. St Patrick's Day and the Battle of the Boyne are Northern Irish only; St Andrew's Day is Scottish only. A count run against a UK-wide default and a count run against a specific nation will therefore diverge, and the divergence is not an error.
The other thing to watch is the substitute day. When a bank holiday falls on a Saturday or Sunday, the holiday stays on its own date and the next working day becomes a bank holiday instead. A Christmas Day on a Saturday means 27 and 28 December are the days off. Deducting both the original dates and the substitutes takes four days out of a period that only lost two — the single most common error in working-day sums over Christmas. This calculator counts the substitute, not the weekend date it replaced.