Yours, Etc.: Origins and Uses of 8 Sign-Offs
Old English becuman "happen, come about," also "meet with, arrive," from Proto-Germanic *bikweman "become" (cf. Dutch bekomen, Old High German biqueman "obtain," German bekommen, Gothic biquiman). A compound of be- and come; it drove out Old English weorðan. Meaning "to look well" is early 14c., from earlier sense of "to agree with, be fitting" (early 13c.).