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Net Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Numerator        
Net income $ 81,436 $ 56,236 $ 153,838 $ 149,795
Denominator        
Weighted average shares outstanding — basic (shares) 60,330 60,573 60,211 60,693
Dilutive effect of common shares from stock options and restricted stock units 361 832 326 968
Weighted average shares outstanding — diluted (shares) 60,691 61,405 60,537 61,661
Basic net income per share (dollars per share) $ 1.35 $ 0.93 $ 2.55 $ 2.47
Diluted net income per share (dollars per share) $ 1.34 $ 0.92 $ 2.54 $ 2.43