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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, 2025	Aug. 31, 2024	Aug. 31, 2023
Earnings Per Share [Abstract]
Net income	$ 90,994	$ 69,644	$ 65,993
Less: Net income allocated to participating securities	(260)	(246)	(272)
Net income available to common stockholders, basic	90,734	69,398	65,721
Net income available to common stockholders, diluted	$ 90,734	$ 69,398	$ 65,721

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