John "Lucky" Garnett (Fred Astaire) is a dancer with an affinity (read: addiction) to gambling and its that affinity that ends up seeing him entirely forgot about his marriage to Margaret (Betty Furness). Eventually, John remembers that he was supposed to walk Margaret down the aisle and, in a distraught fashion, races to Margaret and her Dad to apologize. Margaret's father gives John a deal: if he can make $25,000 in the next few months, John can regain Margaret's hand in marriage. In order to get all that cash, John hightails it to New York City with his pal Pop (Victor Moore), where he accidentally stumbles into a dancing gig alongside Penny (Ginger Rogers).
