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Net Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 9 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Numerator        
Net income $ 83,019 $ 89,604 $ 232,814 $ 220,523
Denominator        
Weighted average shares outstanding — basic (shares) 59,965 60,186 60,450 60,768
Dilutive effect of common shares from stock options and restricted stock units 495 1,165 895 1,296
Weighted average shares outstanding — diluted (shares) 60,460 61,351 61,345 62,064
Basic net income per share (dollars per share) $ 1.38 $ 1.49 $ 3.85 $ 3.63
Diluted net income per share (dollars per share) $ 1.37 $ 1.46 $ 3.80 $ 3.55