Stock-Based Compensation - Restricted Stock Units Granted (Details) - shares	6 Months Ended
	Mar. 31, 2024	Mar. 31, 2023
Restricted Stock Units (RSUs)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stocks granted (in shares)	608,706	572,111
Restricted Stock, Time Based Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stocks granted (in shares)	220,174	356,410
Restricted Stock, Performance Based Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stocks granted (in shares)	388,532	215,701