Summary of Significant Accounting Policies - Anti-dilutive Securities (Details) - shares	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Employee and Directors Stock Options
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	261,228	385,548	285,699
Restricted Stock
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	50,415	165,794	96,999
Deferred Restricted Stock
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	2,791	30,529	34,498
Performance Shares
Antidilutive securities
Number of shares excluded as their effect would be anti-dilutive	46,693	76,266	47,195