"Knowing Me, Knowing You" was another single from the successful "Arrival" album. It hit number one in West Germany, Great Britain, and Ireland, while reaching the top three in Austria, Belgium, Canada, the Netherlands, and Switzerland. It was also a top ten hit in Australia, France, New Zealand, and Norway. In the United States, it became ABBA's sixth top twenty single, peaking at number 14.
In Britain, "Knowing Me, Knowing You" began a second run of three consecutive chart-topping singles for ABBA (followed by "The Name of the Game" and "Take A Chance on Me"), the group having already had three consecutive number ones in 1976. It was ABBA's sixth consecutive number one single in Germany.