German Meaning: The name Wolfgang is a German baby name. In German the meaning of the name Wolfgang is: Advancing wolf. Teutonic Meaning: The name Wolfgang is a Teutonic baby name. In Teutonic the meaning of the name Wolfgang is: Wolfs way. SoulUrge Number: 7. Expression Number: 4. People with this name have a deep inner need for quiet, and a desire to understand and analyze the world they live in, and to learn the deeper truths. People with this name tend to be orderly and dedicated to building their lives on a solid foundation of order and service.