Stock-Based Compensation - Restricted Stock (Details) - Restricted stock	12 Months Ended
	Sep. 30, 2022 $ / shares shares
Weighted Average Price
Nonvested, beginning period (in dollars per share) | $ / shares	$ 26.01
Granted (in dollars per share) | $ / shares	46.18
Vested (in dollars per share) | $ / shares	27.57
Forfeited (in dollars per share) | $ / shares	28.91
Nonvested, ending period (in dollars per share) | $ / shares	$ 32.94
Restricted Shares/Units
Nonvested, beginning period (in shares) | shares	1,148,888
Granted (in shares) | shares	354,148
Vested (in shares) | shares	(547,123)
Forfeited (in shares) | shares	(83,496)
Nonvested, ending period (in shares) | shares	872,417