Condensed Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Ordinary shares	Additional Paid-in-capital	Retained Earnings	Treasury Shares	Accumulated Other Comprehensive Income (Loss)	Total SGH Shareholders’ Equity	Non- controlling Interest in Subsidiary
Common stock, beginning balance (in shares) at Aug. 30, 2019		47,355
Beginning balance at Aug. 30, 2019	$ 273,460	$ 1,421	$ 286,568	$ 164,620	$ (1,283)	$ (177,866)	$ 273,460	$ 0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(1,143)			(1,143)			(1,143)
Other comprehensive income (loss)	(50,375)					(50,375)	(50,375)
Shares issued under equity plans (in shares)		1,525
Shares issued under equity plans	5,479	$ 45	5,434				5,479
Repurchase of ordinary shares (in shares)		(27)
Repurchase of ordinary shares	(749)	$ (1)	1		(749)		(749)
Shares issued in connection with acquisition of Inforce (in shares)		135
Shares issued in connection with acquisition of Inforce	0	$ 4	(4)				0
Share-based compensation expense	18,716		18,716				18,716
Reclassification of Capped Calls to equity	(14,106)		(14,106)				(14,106)
Issuance of convertible notes	50,822		50,822				50,822
Common stock, ending balance (in shares) at Aug. 28, 2020		48,988
Ending balance at Aug. 28, 2020	282,104	$ 1,469	347,431	163,477	(2,032)	(228,241)	282,104	0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	22,506			21,310			21,310	1,196
Other comprehensive income (loss)	6,626					6,626	6,626
Shares issued under equity plans (in shares)		2,403
Shares issued under equity plans	14,923	$ 72	14,851				14,923
Repurchase of ordinary shares (in shares)		(1,253)
Repurchase of ordinary shares	(48,513)	$ (37)	37		(48,513)		(48,513)
Share-based compensation expense	33,801		33,801				33,801
Acquisition of noncontrolling interest	$ 7,477							7,477
Common stock, ending balance (in shares) at Aug. 27, 2021	48,736	50,138
Ending balance at Aug. 27, 2021	$ 318,924	$ 1,504	396,120	184,787	(50,545)	(221,615)	310,251	8,673
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	68,592			66,557			66,557	2,035
Other comprehensive income (loss)	(40)					(40)	(40)
Shares issued under equity plans (in shares)		2,797
Shares issued under equity plans	12,140	$ 84	12,056				12,140
Repurchase of ordinary shares (in shares)		(55)
Repurchase of ordinary shares	(57,231)	$ (2)	2		(57,231)		(57,231)
Share-based compensation expense	39,934		39,934				39,934
Distribution to noncontrolling interest	$ (3,773)							(3,773)
Common stock, ending balance (in shares) at Aug. 26, 2022	48,604	52,880
Ending balance at Aug. 26, 2022	$ 378,546	$ 1,586	$ 448,112	$ 251,344	$ (107,776)	$ (221,655)	$ 371,611	$ 6,935