Stock-based Compensation - Narrative (Details) - USD ($) $ in Millions	9 Months Ended
	Jun. 30, 2023	Sep. 30, 2022
Time-based restricted stock | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period	2 years
Time-based restricted stock | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period	3 years
Performance-Based Restricted Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period	3 years
Nonvested Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation costs related to non-vested stock awards	$ 8.4	$ 7.3
Weighted average period to recognize remaining cost	1 year 9 months 14 days