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Net Income Per Share (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Net Income Per Share [Abstract]      
Net income $ 566,778 $ 394,948 $ 322,160
Weighted average shares - basic (shares) 58,720 59,909 60,274
Weighted Average Number Diluted Shares Outstanding Adjustment 639 361 823
Weighted Average Number of Shares Outstanding, Diluted 59,359 60,270 61,097
Net income per share - basic (USD per share) $ 9.65 $ 6.59 $ 5.34
Net income per share - diluted (USD per share) $ 9.55 $ 6.55 $ 5.27