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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, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Numerator        
Net income $ 88,976 $ 83,019 $ 242,814 $ 232,814
Denominator        
Weighted average shares outstanding — basic (shares) 59,977 59,965 60,133 60,450
Dilutive effect of common shares from stock options and restricted stock units 337 495 330 895
Weighted average shares outstanding — diluted (shares) 60,314 60,460 60,463 61,345
Basic net income per share (dollars per share) $ 1.48 $ 1.38 $ 4.04 $ 3.85
Diluted net income per share (dollars per share) $ 1.48 $ 1.37 $ 4.02 $ 3.80