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Stock-Based Compensation - Summary of Nonvested Stock Awards (Details)
12 Months Ended
Sep. 30, 2025
$ / shares
shares
Restricted (Nonvested) Stock  
Weighted Average Price  
Beginning balance (in dollars per share) | $ / shares $ 59.29
Granted (in dollars per share) | $ / shares 83.08
Vested (in dollars per share) | $ / shares 62.59
Forfeited (in dollars per share) | $ / shares 65.78
Ending balance (in dollars per share) | $ / shares $ 69.68
Shares Subject to Restriction/PSU  
Beginning balance (in shares) | shares 2,904,103
Granted (in shares) | shares 1,297,984
Vested (in shares) | shares (1,231,731)
Forfeited (in shares) | shares (423,369)
Ending balance (in shares) | shares 2,546,987
Performance Shares  
Weighted Average Price  
Beginning balance (in dollars per share) | $ / shares $ 71.20
Granted (in dollars per share) | $ / shares 97.77
Vested (in dollars per share) | $ / shares 90.50
Forfeited (in dollars per share) | $ / shares 80.05
Ending balance (in dollars per share) | $ / shares $ 76.97
Shares Subject to Restriction/PSU  
Beginning balance (in shares) | shares 795,633
Granted (in shares) | shares 375,308
Vested (in shares) | shares (230,999)
Forfeited (in shares) | shares (27,178)
Ending balance (in shares) | shares 912,764