Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Revision of Prior Period, Accounting Standards Update, Adjustment	Ordinary shares	Additional Paid-in Capital	Additional Paid-in Capital Revision of Prior Period, Accounting Standards Update, Adjustment	Retained Earnings	Retained Earnings Revision of Prior Period, Accounting Standards Update, Adjustment	Treasury Shares	Accumulated Other Comprehensive Income (Loss)	Total SGH Shareholders’ Equity	Total SGH Shareholders’ Equity Revision of Prior Period, Accounting Standards Update, Adjustment	Non- controlling Interest in Subsidiary
Common stock, beginning balance (in shares) at Aug. 27, 2021			50,138
Beginning 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)	20,698					20,027				20,027		671
Other comprehensive income (loss)	(19,440)								(19,440)	(19,440)
Shares issued under equity plans (in shares)			734
Shares issued under equity plans	5,029		$ 22	5,007						5,029
Repurchase of ordinary shares (in shares)			(51)
Repurchase of ordinary shares	(2,666)		$ (2)	2				(2,666)		(2,666)
Share-based compensation expense	9,739			9,739						9,739
Common stock, ending balance (in shares) at Nov. 26, 2021			50,821
Ending balance at Nov. 26, 2021	332,284		$ 1,524	410,868		204,814		(53,211)	(241,055)	322,940		9,344
Common stock, beginning balance (in shares) at Aug. 27, 2021			50,138
Beginning 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)	48,165
Common stock, ending balance (in shares) at May. 27, 2022			52,432
Ending balance at May. 27, 2022	399,069		$ 1,573	437,863		231,385		(67,345)	(210,874)	392,602		6,467
Common stock, beginning balance (in shares) at Aug. 27, 2021			50,138
Beginning balance at Aug. 27, 2021	$ 318,924		$ 1,504	396,120		184,787		(50,545)	(221,615)	310,251		8,673
Common stock, ending balance (in shares) at Aug. 26, 2022	48,604		52,880
Ending balance at Aug. 26, 2022	$ 378,546	$ (32,183)	$ 1,586	448,112	$ (50,822)	251,344	$ 18,639	(107,776)	(221,655)	371,611	$ (32,183)	6,935
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Accounting Standards Update [Extensible Enumeration]	Accounting Standards Update 2020-06
Common stock, beginning balance (in shares) at Nov. 26, 2021			50,821
Beginning balance at Nov. 26, 2021	$ 332,284		$ 1,524	410,868		204,814		(53,211)	(241,055)	322,940		9,344
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	2,972					2,458				2,458		514
Other comprehensive income (loss)	11,379								11,379	11,379
Shares issued under equity plans (in shares)			372
Shares issued under equity plans	2,431		$ 11	2,420						2,431
Repurchase of ordinary shares (in shares)			(4)
Repurchase of ordinary shares	(229)							(229)		(229)
Share-based compensation expense	9,848			9,848						9,848
Distribution to noncontrolling interest	(3,773)											(3,773)
Common stock, ending balance (in shares) at Feb. 25, 2022			51,189
Ending balance at Feb. 25, 2022	354,912		$ 1,535	423,136		207,272		(53,440)	(229,676)	348,827		6,085
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	24,495					24,113				24,113		382
Other comprehensive income (loss)	18,802								18,802	18,802
Shares issued under equity plans (in shares)			1,243
Shares issued under equity plans	4,389		$ 38	4,351						4,389
Repurchase of ordinary shares	(13,905)							(13,905)		(13,905)
Share-based compensation expense	10,376			10,376						10,376
Common stock, ending balance (in shares) at May. 27, 2022			52,432
Ending balance at May. 27, 2022	$ 399,069		$ 1,573	437,863		231,385		(67,345)	(210,874)	392,602		6,467
Common stock, beginning balance (in shares) at Aug. 26, 2022	48,604		52,880
Beginning balance at Aug. 26, 2022	$ 378,546	(32,183)	$ 1,586	448,112	(50,822)	251,344	18,639	(107,776)	(221,655)	371,611	(32,183)	6,935
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	5,324					4,992				4,992		332
Other comprehensive income (loss)	(1,995)								(1,995)	(1,995)
Shares issued under equity plans (in shares)			1,060
Shares issued under equity plans	3,942		$ 32	3,910						3,942
Repurchase of ordinary shares	(4,659)							(4,659)		(4,659)
Share-based compensation expense	10,412			10,412						10,412
Common stock, ending balance (in shares) at Nov. 25, 2022			53,940
Ending balance at Nov. 25, 2022	$ 359,387		$ 1,618	411,612		274,975		(112,435)	(223,650)	352,120		7,267
Common stock, beginning balance (in shares) at Aug. 26, 2022	48,604		52,880
Beginning balance at Aug. 26, 2022	$ 378,546	$ (32,183)	$ 1,586	448,112	$ (50,822)	251,344	$ 18,639	(107,776)	(221,655)	371,611	$ (32,183)	6,935
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	$ (45,539)
Common stock, ending balance (in shares) at May. 26, 2023	49,807		55,159
Ending balance at May. 26, 2023	$ 324,166		$ 1,655	432,185		223,301		(124,659)	(214,385)	318,097		6,069
Common stock, beginning balance (in shares) at Nov. 25, 2022			53,940
Beginning balance at Nov. 25, 2022	359,387		$ 1,618	411,612		274,975		(112,435)	(223,650)	352,120		7,267
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(26,786)					(27,219)				(27,219)		433
Other comprehensive income (loss)	6,093								6,093	6,093
Shares issued under equity plans (in shares)			443
Shares issued under equity plans	308		$ 13	295						308
Repurchase of ordinary shares	(11,564)							(11,564)		(11,564)
Share-based compensation expense	10,395			10,395						10,395
Purchase of Capped Calls	(15,090)			(15,090)						(15,090)
Settlement of Capped Calls	10,786			10,786						10,786
Distribution to noncontrolling interest	(2,009)											(2,009)
Common stock, ending balance (in shares) at Feb. 24, 2023			54,383
Ending balance at Feb. 24, 2023	331,520		$ 1,631	417,998		247,756		(123,999)	(217,557)	325,829		5,691
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(24,077)					(24,455)				(24,455)		378
Other comprehensive income (loss)	3,172								3,172	3,172
Shares issued under equity plans (in shares)			776
Shares issued under equity plans	4,180		$ 24	4,156						4,180
Repurchase of ordinary shares	(660)							(660)		(660)
Share-based compensation expense	$ 10,031			10,031						10,031
Common stock, ending balance (in shares) at May. 26, 2023	49,807		55,159
Ending balance at May. 26, 2023	$ 324,166		$ 1,655	$ 432,185		$ 223,301		$ (124,659)	$ (214,385)	$ 318,097		$ 6,069