Intangible Assets and Goodwill - Schedule of Intangible Assets and Goodwill by Segment (Details) - USD ($) $ in Thousands	May 27, 2022	Aug. 27, 2021
Finite Lived Intangible Assets [Line Items]
Intangible assets, gross amount	$ 138,314	$ 141,807
Intangible assets, accumulated amortization	(55,095)	(40,734)
Goodwill by segment, gross amount	75,043	74,255
Intelligent Platform Solutions
Finite Lived Intangible Assets [Line Items]
Goodwill by segment, gross amount	40,401	40,401
Memory Solutions
Finite Lived Intangible Assets [Line Items]
Goodwill by segment, gross amount	34,642	33,854
Technology
Finite Lived Intangible Assets [Line Items]
Intangible assets, gross amount	61,614	61,307
Intangible assets, accumulated amortization	(16,333)	(9,142)
Customer relationships
Finite Lived Intangible Assets [Line Items]
Intangible assets, gross amount	57,500	57,500
Intangible assets, accumulated amortization	(29,777)	(22,393)
Trademarks/trade names
Finite Lived Intangible Assets [Line Items]
Intangible assets, gross amount	19,200	19,200
Intangible assets, accumulated amortization	(8,985)	(6,628)
Order backlog
Finite Lived Intangible Assets [Line Items]
Intangible assets, gross amount	0	3,800
Intangible assets, accumulated amortization	$ 0	$ (2,571)