To check out is to leave a hotel and settle the bill. Also, quite separately, to take a look at something.
The hotel sense has a fixed time attached, and check-out at eleven is the standard piece of small print. The looking sense is informal and American in origin and now universal, so checking out a new restaurant means going to see what it is like. There is a third sense meaning to prove correct, since a story that checks out has been verified. Checkout is also where you pay in a shop.
Practised in Phrasal Verbs, A Man Called Ove
First appears in chapter 15 of A Man Called Ove.
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