Changes in Gross Liability for Unrecognized Tax Benefits, Excluding Interest and Penalties (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Unrecognized Tax Benefits [Roll Forward]
Beginning balance	$ 13,400	$ 13,700	$ 14,800
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions	700	600	1,800
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions	2,200	800	200
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions	0	(1,100)	0
Decrease due to lapse of statute of limitations	(2,100)	(600)	(3,100)
Decrease due to settlements	(100)	(100)	0
Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation	0	100	0
Ending balance	$ 14,100	$ 13,400	$ 13,700