Segment and Other Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands	3 Months Ended			9 Months Ended
	May 26, 2023	Feb. 24, 2023	May 27, 2022	May 26, 2023	May 27, 2022
Segment Reporting Information [Line Items]
Total net sales	$ 383,330		$ 462,540	$ 1,277,982	$ 1,381,655
Total segment operating income	(8,802)		35,309	1,622	86,908
Share-based compensation expense				(30,838)	(30,295)
Amortization of acquisition-related intangibles	(11,800)		(5,900)	(33,600)	(18,200)
Impairment of goodwill	0	$ (17,600)	0	(17,558)	0
Change in fair value of contingent consideration	(14,800)		(124)	(24,900)	(41,324)
Restructure charge				(6,000)
Total unallocated	(107,445)		(79,154)	(325,812)	(262,469)
Unallocated
Segment Reporting Information [Line Items]
Share-based compensation expense	(10,031)		(10,547)	(30,838)	(30,295)
Amortization of acquisition-related intangibles	(11,609)		(5,943)	(33,282)	(18,115)
Flow through of inventory step up	0		0	(2,599)	0
Cost of sales-related restructure	(211)		0	(5,763)	0
Acquisition and integration expenses	(8,637)		(2,181)	(18,193)	(3,471)
Impairment of goodwill	0		0	(17,558)	0
Change in fair value of contingent consideration	(14,800)		(124)	(24,900)	(41,324)
Restructure charge	186		(249)	(6,009)	(249)
Other	0		81	(1,800)	(495)
Total unallocated	(45,102)		(18,963)	(140,942)	(93,949)
Operating Segments
Segment Reporting Information [Line Items]
Total net sales	383,330		462,540	1,277,982	1,381,655
Total segment operating income	36,300		54,272	142,564	180,857
Operating Segments | Memory Solutions
Segment Reporting Information [Line Items]
Total net sales	148,370		265,850	491,473	765,332
Total segment operating income	11,284		30,094	46,859	99,260
Operating Segments | Intelligent Platform Solutions
Segment Reporting Information [Line Items]
Total net sales	170,854		95,345	604,276	296,256
Total segment operating income	25,798		10,790	97,942	32,672
Operating Segments | LED Solutions
Segment Reporting Information [Line Items]
Total net sales	64,106		101,345	182,233	320,067
Total segment operating income	$ (782)		$ 13,388	$ (2,237)	$ 48,925