Olynyk, 30, exploded on a rebuilding Houston team that let him be the focus of its offense at times, averaging 19 points, 8.4 rebounds and 4.1 assists during his 27-game stint with the Rockets.
While never having reached those heights previously in his career, Olynyk has put together a solid track record of being able to contribute to winning teams during previous stops in Miami and Boston.
Olynyk, a 36.7% career 3-point shooter, shot close to 40% during his time with the Rockets.
ESPN staff writer Nick Friedell contributed to this report.
Free agent Kelly Olynyk agrees to three-year, $37 million deal with Detroit Pistons, agent says
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