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Stock-Based Compensation - Summary of Nonvested Stock Awards (Details)
 12 Months Ended
Sep. 30, 2023
$ / shares
shares
Restricted (Nonvested) Stock  
Weighted Average Price  
Beginning balance (in dollars per share) | $ / shares $ 58.78
Granted (in dollars per share) | $ / shares 65.72
Vested (in dollars per share) | $ / shares 53.55
Forfeited (in dollars per share) | $ / shares 64.14
Ending balance (in dollars per share) | $ / shares $ 64.90
Shares Subject to Restriction/PSU  
Beginning balance (in shares) | shares 2,949,194
Granted (in shares) | shares 2,010,495
Vested (in shares) | shares (1,487,685)
Forfeited (in shares) | shares (664,891)
Ending balance (in shares) | shares 2,807,113
Performance Shares  
Weighted Average Price  
Beginning balance (in dollars per share) | $ / shares $ 60.30
Granted (in dollars per share) | $ / shares 79.45
Vested (in dollars per share) | $ / shares 43.19
Forfeited (in dollars per share) | $ / shares 71.18
Ending balance (in dollars per share) | $ / shares $ 71.77
Shares Subject to Restriction/PSU  
Beginning balance (in shares) | shares 1,143,071
Granted (in shares) | shares 344,029
Vested (in shares) | shares (361,117)
Forfeited (in shares) | shares (258,459)
Ending balance (in shares) | shares 867,524