Equity - Additional Information (Details) $ / shares in Units, $ in Thousands			3 Months Ended						9 Months Ended
	Jan. 18, 2023 USD ($) $ / Unit	Jan. 03, 2022 $ / shares shares	May 26, 2023 USD ($) $ / shares shares	Feb. 24, 2023 USD ($) shares	Nov. 25, 2022 USD ($)	May 27, 2022 USD ($) shares	Feb. 25, 2022 USD ($)	Nov. 26, 2021 USD ($)	May 26, 2023 USD ($) $ / shares shares	May 27, 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			$ 660	$ 11,564	$ 4,659	$ 13,905	$ 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
Distribution to noncontrolling interest				2,009			3,773
Total SGH Shareholders’ Equity
Class Of Stock [Line Items]
Shares acquired, value			$ 660	11,564	$ 4,659	$ 13,905	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
Stratus Technologies
Class Of Stock [Line Items]
Contingent consideration (up to)											$ 50,000
LED Business | Cree Joint Venture | Total SGH Shareholders’ Equity
Class Of Stock [Line Items]
Distribution to noncontrolling interest									2,100	3,900
LED Business | San’an | Non- controlling Interest in Subsidiary
Class Of Stock [Line Items]
Distribution to noncontrolling interest									$ 2,000	$ 3,800
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			41,000			151,000			217,000	205,000
Shares acquired, value			$ 700			$ 3,700			$ 3,100	$ 6,600
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			41,000	326,000
Shares acquired, value				$ 5,400