Stock-Based Compensation - Restricted Stock (Details) - Restricted stock	12 Months Ended
	Sep. 30, 2023 $ / shares shares
Weighted Average Price
Nonvested, beginning period (in dollars per share) | $ / shares	$ 32.94
Granted (in dollars per share) | $ / shares	38.38
Vested (in dollars per share) | $ / shares	29.42
Forfeited (in dollars per share) | $ / shares	38.32
Nonvested, ending period (in dollars per share) | $ / shares	$ 38.32
Restricted Shares/Units
Nonvested, beginning period (in shares) | shares	872,417
Granted (in shares) | shares	678,147
Vested (in shares) | shares	(523,325)
Forfeited (in shares) | shares	(65,150)
Nonvested, ending period (in shares) | shares	962,089