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Earnings per Common Share - Schedule of Reconciliation of Net Income to Net Income Available to Common Shareholders (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Earnings Per Share [Abstract]
Net income	$ 69,644	$ 65,993	$ 67,329
Less: Net income allocated to participating securities	(246)	(272)	(251)
Net income available to common stockholders, basic	69,398	65,721	67,078
Net income available to common stockholders, diluted	$ 69,398	$ 65,721	$ 67,078

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