Summary of Significant Accounting Policies - Net (Loss) Income per Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Net (loss) income	$ (2,367)	$ 3,639	$ (4,956)	$ (52)
Weighted-average common shares outstanding basic (in shares)	5,940,000	5,840,000	5,918,000	5,819,000
Weighted-average common shares outstanding diluted (in shares)	5,940,000	5,961,000	5,918,000	5,819,000
Net (loss) income per share
Net (loss) income per share – basic (in dollars per share)	$ (0.40)	$ 0.62	$ (0.84)	$ (0.01)
Net (loss) income per share – diluted (in dollars per share)	$ (0.40)	$ 0.61	$ (0.84)	$ (0.01)
Anti-dilutive weighted-average common shares excluded from calculation of diluted earnings per share (in shares)	196,000	196,000	186,000	307,000
Restricted shares
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Restricted and performance shares (in shares)	0	100,000	0	0
Performance shares
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]
Restricted and performance shares (in shares)	0	21,000	0	0