Consolidated Statements of Shareholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Common Stock	Additional Paid-in-capital	Retained Earnings	Treasury Shares	Accumulated Other Comprehensive Income (Loss)	Total SGH Shareholders’ Equity	Non- controlling Interest in Subsidiary
Beginning balance (in shares) at Aug. 28, 2020		48,988
Beginning balance at Aug. 28, 2020	$ 282,102	$ 1,469	$ 347,431	$ 163,475	$ (2,032)	$ (228,241)	$ 282,102	$ 0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	2,027			2,027			2,027
Other comprehensive income (loss)	(16,525)					(16,525)	(16,525)
Shares issued under equity plans (in shares)		956
Shares issued under equity plans	3,106	$ 29	3,077				3,106
Repurchase of ordinary shares (in shares)		(139)
Repurchase of ordinary shares	(3,483)	$ (4)	4		(3,483)		(3,483)
Share-based compensation expense	11,088		11,088				11,088
Ending balance (in shares) at Nov. 27, 2020		49,805
Ending balance at Nov. 27, 2020	278,315	$ 1,494	361,600	165,502	(5,515)	(244,766)	278,315	0
Beginning balance (in shares) at Aug. 28, 2020		48,988
Beginning balance at Aug. 28, 2020	282,102	$ 1,469	347,431	163,475	(2,032)	(228,241)	282,102	0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	1,217
Ending balance (in shares) at May. 28, 2021		49,872
Ending balance at May. 28, 2021	277,466	$ 1,496	385,391	164,135	(50,333)	(231,258)	269,431	8,035
Beginning balance (in shares) at Nov. 27, 2020		49,805
Beginning balance at Nov. 27, 2020	278,315	$ 1,494	361,600	165,502	(5,515)	(244,766)	278,315	0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	5,844			5,844			5,844
Other comprehensive income (loss)	10,934					10,934	10,934
Shares issued under equity plans (in shares)		371
Shares issued under equity plans	2,545	$ 11	2,534				2,545
Repurchase of ordinary shares (in shares)		(1,104)
Repurchase of ordinary shares	(44,481)	$ (33)	33		(44,481)		(44,481)
Share-based compensation expense	5,398		5,398				5,398
Ending balance (in shares) at Feb. 26, 2021		49,072
Ending balance at Feb. 26, 2021	258,555	$ 1,472	369,565	171,346	(49,996)	(233,832)	258,555	0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(6,654)			(7,211)			(7,211)	557
Other comprehensive income (loss)	2,574					2,574	2,574
Shares issued under equity plans (in shares)		806
Shares issued under equity plans	7,506	$ 24	7,482				7,506
Repurchase of ordinary shares (in shares)		(6)
Repurchase of ordinary shares	(337)				(337)		(337)
Share-based compensation expense	8,344		8,344				8,344
Acquisition of noncontrolling interest	7,478							7,478
Ending balance (in shares) at May. 28, 2021		49,872
Ending balance at May. 28, 2021	277,466	$ 1,496	385,391	164,135	(50,333)	(231,258)	269,431	8,035
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
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
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
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
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)
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
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