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Stock-Based Compensation - Restricted Stock (Details) - Restricted stock
 12 Months Ended
Sep. 30, 2024
$ / shares
shares
Weighted Average Price  
Nonvested, beginning period (in dollars per share) | $ / shares $ 38.32
Granted (in dollars per share) | $ / shares 32.55
Vested (in dollars per share) | $ / shares 36.50
Forfeited (in dollars per share) | $ / shares 33.99
Nonvested, ending period (in dollars per share) | $ / shares $ 35.36
Restricted Shares/Units  
Nonvested, beginning period (in shares) | shares 962,089
Granted (in shares) | shares 888,994
Vested (in shares) | shares (443,946)
Forfeited (in shares) | shares (216,473)
Nonvested, ending period (in shares) | shares 1,190,664