Summary of Significant Accounting Policies - Anti-dilutive Securities (Details) - shares	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Employee Stock Option [Member]
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	206,096	261,228	385,548
Restricted Stock
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	41,809	50,415	165,794
Deferred Restricted Stock
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	6,052	2,791	30,529
Performance Shares
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	41,210	46,693	76,266