The victory marked the first time the Tractor Boys have won a Premier League match from behind since December 2001, lifting them to eighth in the table with six points from four fixtures.
Manager Gary O'Neil praised his side's resilience after the final whistle: "I'm pleased for the players and the fanbase. It is tough to win away from home in the Premier League as a newly-promoted side. We've done it after the second away game of the season.
"Fantastic character, three good goals, and we look like a threat. Plenty of positives. There is lots we need to improve, but in terms of character, there were some big pluses."