Segment and Other Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands		3 Months Ended
		Nov. 26, 2021	Nov. 27, 2020
Segment Reporting Information [Line Items]
Net sales	[1]	$ 469,944	$ 291,697
Operating income		34,794	7,624
Share-based compensation expense		(9,775)	(11,088)
Amortization of acquisition-related intangibles		(6,300)	(3,400)
Change in fair value of contingent consideration		(17,200)
Total unallocated		(87,407)	(45,020)
Unallocated
Segment Reporting Information [Line Items]
Share-based compensation expense		(9,775)	(11,088)
Amortization of acquisition-related intangibles		(6,343)	(3,413)
Change in fair value of contingent consideration		(17,200)
Other		(1,038)	(1,617)
Total unallocated		(34,356)	(16,118)
Operating Segments
Segment Reporting Information [Line Items]
Net sales		469,944	291,697
Operating income		69,150	23,742
Operating Segments | Memory Solutions
Segment Reporting Information [Line Items]
Net sales		239,401	225,823
Operating income		36,670	20,861
Operating Segments | Intelligent Platform Solutions
Segment Reporting Information [Line Items]
Net sales		118,654	65,874
Operating income		14,180	$ 2,881
Operating Segments | LED Solutions
Segment Reporting Information [Line Items]
Net sales		111,889
Operating income		$ 18,300

[1] Sales to related parties were de minimus and $14,975 in the first quarters of 2022 and 2021, respectively.