Basis of Presentation - Narrative (Details) - USD ($) shares in Thousands	3 Months Ended	12 Months Ended
	Aug. 27, 2022	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020	Nov. 26, 2022	May 30, 2020
Business Acquisition [Line Items]
Goodwill impairment	$ 0			$ 0	$ 0
Finite-lived impairment loss			$ 0	0	0
Insurance policy limit			75,000,000
Self insurance reserve for product liability, per occurrence			1,000,000
Self insurance reserve for product liability, aggregate per policy year			2,000,000
Self-insurance policy health, occurrence			500,000
Advertising expense			23,300,000	11,600,000	12,500,000
Deferred FICA liability	8,100,000		8,100,000	16,200,000
Employee retention credit							$ 4,000,000
Employee retention credit outstanding	800,000		800,000
Decrease in additional paid-in capital	(256,224,000)		(256,224,000)	(218,490,000)
Long-term debt, net	545,855,000		545,855,000	528,559,000
Deferred income taxes	(6,108,000)		(6,108,000)	(13,429,000)
Increase in retained earnings	$ 1,537,531,000		1,537,531,000	1,172,996,000
Non-cash interest expense, net			$ (15,074,000)	$ (13,928,000)	$ (10,727,000)
Dilutive impact of convertible notes (in shares)			0	153	0
Accounting Standards Update 2020-06 | Scenario, Forecast
Business Acquisition [Line Items]
Decrease in additional paid-in capital						$ 62,000,000
Long-term debt, net						43,800,000
Deferred income taxes						10,800,000
Increase in retained earnings						$ 29,000,000
Non-cash interest expense, net		$ 15,100,000
Dilutive impact of convertible notes (in shares)		4,700