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Net Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Net Income Per Share [Abstract]      
Net income $ 322,160 $ 331,241 $ 307,441
Weighted average shares - basic (shares) 60,274 60,707 60,911
Weighted Average Number Diluted Shares Outstanding Adjustment 823 1,350 467
Weighted Average Number of Shares Outstanding, Diluted 61,097 62,057 61,378
Net income per share - basic (USD per share) $ 5.34 $ 5.46 $ 5.05
Net income per share - diluted (USD per share) $ 5.27 $ 5.34 $ 5.01