Equity - Additional Information (Details) $ / shares in Units, $ in Thousands			3 Months Ended				6 Months Ended
	Jan. 18, 2023 USD ($) $ / Unit	Jan. 03, 2022 $ / shares shares	Feb. 24, 2023 USD ($) $ / shares shares	Nov. 25, 2022 USD ($)	Feb. 25, 2022 USD ($) shares	Nov. 26, 2021 USD ($)	Feb. 24, 2023 USD ($) tradingDay $ / shares shares	Feb. 25, 2022 USD ($) shares	Aug. 29, 2022 USD ($)	Aug. 26, 2022 $ / shares	Apr. 04, 2022 USD ($)
Class Of Stock [Line Items]
Share dividend declared for each ordinary share owned (in shares) | shares		1
Ordinary shares, par value (in usd per share) | $ / shares		$ 0.03	$ 0.03				$ 0.03			$ 0.03
Shares acquired, value			$ 11,564	$ 4,659	$ 229	$ 2,666
Cap price of capped call transaction (in usd per share) | $ / Unit	29.1375
Premium of capped call transaction	0.75
Purchase of Capped Calls	$ (15,100)		(15,090)
Settlement of Capped Calls	$ 10,800		10,786
Net income attributable to noncontrolling interest			433		514		$ 765	$ 1,185
Distribution to noncontrolling interest			2,009		3,773
Total SGH Shareholders’ Equity
Class Of Stock [Line Items]
Shares acquired, value			11,564	$ 4,659	229	$ 2,666
Purchase of Capped Calls			(15,090)
Settlement of Capped Calls			10,786
Non- controlling Interest in Subsidiary
Class Of Stock [Line Items]
Distribution to noncontrolling interest			2,009		3,773
Cree Joint Venture
Class Of Stock [Line Items]
Distribution to noncontrolling interest			$ 4,100		7,700
Cree Joint Venture | San’an
Class Of Stock [Line Items]
Ownership percentage by noncontrolling owners			49.00%				49.00%
Stratus Technologies
Class Of Stock [Line Items]
Contingent consideration (up to)									$ 50,000
Debt instrument, convertible, threshold consecutive trading days | tradingDay							30
LED Business | San’an | Non- controlling Interest in Subsidiary
Class Of Stock [Line Items]
Distribution to noncontrolling interest			$ 2,000		3,800
LED Business | Cree Joint Venture | Total SGH Shareholders’ Equity
Class Of Stock [Line Items]
Distribution to noncontrolling interest			$ 2,100		$ 3,900
Share Repurchase Authorization
Class Of Stock [Line Items]
Stock repurchase program, authorized amount											$ 75,000
Repurchase of ordinary shares (in shares) | shares							500,000	2,600,000
Shares acquired, value							$ 8,400	$ 50,000
Silver Lake Partners III Cayman (AIV III), L.P., Silver Lake Technology Investors III Cayman, L.P., Silver Lake Sumeru Fund Cayman, L.P. and Silver Lake Technology Investors Sumeru Cayman, L.P. | Silver Lake Partners, Repurchase
Class Of Stock [Line Items]
Repurchase of ordinary shares (in shares) | shares			33,000		4,000		177,000	55,000
Shares acquired, value			$ 600		$ 200		$ 2,400	$ 2,900
Silver Lake Partners III Cayman (AIV III), L.P., Silver Lake Technology Investors III Cayman, L.P., Silver Lake Sumeru Fund Cayman, L.P. and Silver Lake Technology Investors Sumeru Cayman, L.P. | Exchange Transaction
Class Of Stock [Line Items]
Repurchase of ordinary shares (in shares) | shares			326,000
Shares acquired, value			$ 5,400