Segment and Other Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands	3 Months Ended			9 Months Ended
	May 27, 2022	May 28, 2021	Feb. 26, 2021	May 27, 2022		May 28, 2021
Segment Reporting Information [Line Items]
Net sales	$ 462,540	$ 437,728		$ 1,381,655	[1]	$ 1,033,433	[1]
Operating income	35,309	2,894		86,908		23,457
Share-based compensation expense				(30,295)		(24,867)
Amortization of acquisition-related intangibles	(5,900)	(6,200)		(18,200)		(13,000)
Change in fair value of contingent consideration	(124)	(16,400)		(41,324)		(16,400)
Total unallocated	(79,154)	(81,593)		(262,469)		(167,129)
Cost of sales	348,077	353,241		1,032,278		842,847
Interest expense, net	5,110	5,049		14,678		12,568
Income tax provision	(5,154)	(4,010)		(20,495)		(8,485)
Revision of Prior Period, Adjustment
Segment Reporting Information [Line Items]
Cost of sales			$ 4,300
Interest expense, net			800
Income tax provision			$ 1,700
Unallocated
Segment Reporting Information [Line Items]
Share-based compensation expense	(10,547)	(8,381)		(30,295)		(24,867)
Amortization of acquisition-related intangibles	(5,943)	(6,184)		(18,115)		(13,011)
Flow through of inventory step up	0	(7,090)		0		(7,090)
Change in fair value of contingent consideration	(124)	(16,400)		(41,324)		(16,400)
Out of period import tax expense	0	0		0		(4,345)
Other	(2,349)	(2,356)		(4,215)		(5,037)
Total unallocated	(18,963)	(40,411)		(93,949)		(70,750)
Operating Segments
Segment Reporting Information [Line Items]
Net sales	462,540	437,728		1,381,655		1,033,433
Operating income	54,272	43,305		180,857		94,207
Operating Segments | Memory Solutions
Segment Reporting Information [Line Items]
Net sales	265,850	240,116		765,332		684,537
Operating income	30,094	26,163		99,260		65,262
Operating Segments | Intelligent Platform Solutions
Segment Reporting Information [Line Items]
Net sales	95,345	95,857		296,256		247,141
Operating income	10,790	5,756		32,672		17,559
Operating Segments | LED Solutions
Segment Reporting Information [Line Items]
Net sales	101,345	101,755		320,067		101,755
Operating income	$ 13,388	$ 11,386		$ 48,925		$ 11,386

[1] Sales to related parties were de minimis in 2022 and were $20,103 and $53,251 in the three and nine months ended May 28, 2021, respectively.