Changes in Gross Liability for Unrecognized Tax Benefits, Excluding Interest and Penalties (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Beginning balance	$ 15,380	$ 15,658	$ 23,205
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions	279	433	381
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions	0	1,084	7
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions	(56)	(57)	0
Decrease due to lapse of statute of limitations	(951)	(1,271)	(7,931)
Decrease due to settlements	0	(31)	0
Unrecognized Tax Benefits, Increase (Decrease) Resulting from Foreign Currency Translation	102	(436)	(4)
Ending balance	$ 14,754	$ 15,380	$ 15,658