The phrase, “As Good Luck Would Have It”, is attributed to Shakespeare who coined many phrases that we use today. It means by fortunate chance. The origin is from The Merry Wives of Windsor, Falstaff speaking:

You shall hear. As good luck would have it, comes
in one Mistress Page; gives intelligence of Ford’s
approach; and, in her invention and Ford’s wife’s
distraction, they conveyed me into a buck-basket.