Accumulated Other Comprehensive Loss (Schedule of Accumulated Other Comprehensive Loss) (Details) - USD ($) $ in Thousands	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Accumulated Other Comprehensive Loss [Abstract]
Defined benefit pension plan, net of tax benefit of $620 and $716	$ (1,971)	$ (2,277)
Foreign currency translation, net of hedging activities, net of tax expense of $3,868 and $4,875	(18,948)	(18,924)
Unrealized loss on marketable securities, net of tax benefit of $23 and $78	(91)	(272)
Total accumulated other comprehensive loss	$ (21,010)	$ (21,473)	$ (17,933)