Consolidated Statements of Operations - USD ($) shares in Thousands, $ in Thousands		12 Months Ended
		Aug. 26, 2022	Aug. 27, 2021	Aug. 28, 2020
Income Statement [Abstract]
Total net sales	[1]	$ 1,819,352	$ 1,501,142	$ 1,122,377
Cost of sales		1,366,132	1,192,762	905,981
Gross profit		453,220	308,380	216,396
Operating expenses:
Research and development		77,356	49,274	52,056
Selling, general and administrative		220,031	171,509	123,010
Change in fair value of contingent consideration		41,324	32,400	0
Total operating expenses		338,711	253,183	175,066
Operating income		114,509	55,197	41,330
Nonoperating Income (Expense) [Abstract]
Interest expense, net		21,169	17,600	15,000
Other non-operating (income) expense		4,837	(375)	16,970
Total non-operating (income) expense		26,006	17,225	31,970
Income before taxes		88,503	37,972	9,360
Income tax provision		19,911	15,466	10,503
Net income (loss)		68,592	22,506	(1,143)
Net income attributable to noncontrolling interest		2,035	1,196	0
Net income (loss) attributable to SGH		$ 66,557	$ 21,310	$ (1,143)
Earnings (loss) per share:
Basic (in usd per share)		$ 1.35	$ 0.44	$ (0.02)
Diluted (in usd per share)		$ 1.22	$ 0.41	$ (0.02)
Shares used in per share calculations:
Basic (in shares)		49,467	48,558	47,988
Diluted (in shares)		54,443	51,584	47,988

[1] Sales to related parties were de minimis, $76,488 and $75,837 in 2022, 2021 and 2020, respectively.