Intangible Assets and Goodwill - Schedule of Intangible Assets and Goodwill by Segment (Details) - USD ($) $ in Thousands	Nov. 26, 2021	Aug. 27, 2021
Finite Lived Intangible Assets [Line Items]
Intangible assets, Gross Amount	$ 142,025	$ 141,807
Intangible Assets, Accumulated Amortization	(46,694)	(40,734)
Goodwill by segment, Gross Amount	72,487	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	32,086	33,854
Technology
Finite Lived Intangible Assets [Line Items]
Intangible assets, Gross Amount	61,925	61,307
Intangible Assets, Accumulated Amortization	(11,540)	(9,142)
Customer Relationships
Finite Lived Intangible Assets [Line Items]
Intangible assets, Gross Amount	57,500	57,500
Intangible Assets, Accumulated Amortization	(24,854)	(22,393)
Trademarks/Tradenames
Finite Lived Intangible Assets [Line Items]
Intangible assets, Gross Amount	19,200	19,200
Intangible Assets, Accumulated Amortization	(7,414)	(6,628)
Order Backlog
Finite Lived Intangible Assets [Line Items]
Intangible assets, Gross Amount	3,400	3,800
Intangible Assets, Accumulated Amortization	$ (2,886)	$ (2,571)