Consolidated Statements of Comprehensive Income (Loss) - USD ($) $ in Thousands	3 Months Ended
	Nov. 26, 2021	Nov. 27, 2020
Statement Of Income And Comprehensive Income [Abstract]
Net income	$ 20,698	$ 2,027
Other comprehensive income (loss), net of tax:
Foreign currency translation adjustments	(19,440)	(16,523)
Comprehensive income (loss)	1,258	(14,496)
Comprehensive income attributable to noncontrolling interest	671
Comprehensive income (loss) attributable to SGH	$ 587	$ (14,496)