Earnings Per Share - Schedule of Basic and Diluted Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 01, 2024	Feb. 24, 2023	Mar. 01, 2024	Feb. 24, 2023
Earnings Per Share [Abstract]
Net income (loss) from continuing operations	$ (13,620)	$ (33,396)	$ (25,393)	$ (37,335)
Net income (loss) from discontinued operations	0	6,177	(8,148)	15,108
Net income (loss) attributable to SGH – diluted	(13,620)	(27,219)	(33,541)	(22,227)
Net income (loss) attributable to SGH – basic	$ (13,620)	$ (27,219)	$ (33,541)	$ (22,227)
Weighted-average shares outstanding – Basic (in shares)	52,031	49,116	52,050	49,039
Dilutive effect of equity plans and convertible notes (in shares)	0	0	0	0
Weighted-average shares outstanding – Diluted (in shares)	52,031	49,116	52,050	49,039
Basic earnings (loss) per share:
Continuing Operations (in usd per share)	$ (0.26)	$ (0.68)	$ (0.49)	$ (0.76)
Discontinued Operations (in usd per share)	0	0.13	(0.15)	0.31
Basic (in usd per share)	(0.26)	(0.55)	(0.64)	(0.45)
Diluted earnings (loss) per share:
Continuing Operations (in usd per share)	(0.26)	(0.68)	(0.49)	(0.76)
Discontinued Operations (in usd per share)	0	0.13	(0.15)	0.31
Diluted (in usd per share)	$ (0.26)	$ (0.55)	$ (0.64)	$ (0.45)