Net Income Per Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2023	May 31, 2022	May 31, 2023	May 31, 2022
Basic Earnings per Share
Net income	$ 12,092	$ 15,545	$ 27,319	$ 34,398
Less: Allocated to participating securities	97	104	227	228
Net income available to common shareholders	$ 11,995	$ 15,441	$ 27,092	$ 34,170
Basic weighted average shares outstanding	9,430,065	9,399,231	9,422,783	9,398,778
Net income per share - Basic (in dollars per share)	$ 1.27	$ 1.64	$ 2.88	$ 3.64
Diluted Earnings per Share
Net income	$ 12,092	$ 15,545	$ 27,319	$ 34,398
Less: Allocated to participating securities	97	104	227	228
Net income available to common shareholders	$ 11,995	$ 15,441	$ 27,092	$ 34,170
Basic weighted average shares outstanding	9,430,065	9,399,231	9,422,783	9,398,778
Additional dilutive common stock equivalents (in shares)	33,290	32,028	27,885	36,591
Diluted weighted average shares outstanding	9,463,355	9,431,259	9,450,668	9,435,369
Net income per share - Diluted (in dollars per share)	$ 1.27	$ 1.64	$ 2.87	$ 3.62
Antidilutive securities
Antidilutive stock options excluded from computation of earnings per share amount (in shares)	51,213	108,392	103,531	93,869