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Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - USD ($)	6 Months Ended
	Feb. 25, 2023	Feb. 26, 2022	Aug. 27, 2022
Fair Value, Measurements, Recurring
Assets that fund deferred compensation
Domestic equity funds	$ 1,700,000		$ 1,200,000
International equity funds	100,000		100,000
Fixed income funds	0		100,000
Total assets at fair value	1,800,000		1,400,000
Contingent consideration
Earnout liability	41,800,000		39,800,000
Total liabilities at fair value	41,800,000		39,800,000
Fair Value, Measurements, Recurring | Level 1
Assets that fund deferred compensation
Domestic equity funds	1,700,000		1,200,000
International equity funds	100,000		100,000
Fixed income funds	0		100,000
Total assets at fair value	1,800,000		1,400,000
Contingent consideration
Earnout liability	0		0
Total liabilities at fair value	0		0
Fair Value, Measurements, Recurring | Level 2
Assets that fund deferred compensation
Domestic equity funds	0		0
International equity funds	0		0
Fixed income funds	0		0
Total assets at fair value	0		0
Contingent consideration
Earnout liability	0		0
Total liabilities at fair value	0		0
Fair Value, Measurements, Recurring | Level 3
Assets that fund deferred compensation
Domestic equity funds	0		0
International equity funds	0		0
Fixed income funds	0		0
Total assets at fair value	0		0
Contingent consideration
Earnout liability	41,800,000		39,800,000
Total liabilities at fair value	41,800,000		$ 39,800,000
Fair Value, Nonrecurring
Contingent consideration
Asset impairment charges	$ 0	$ 0

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Amount of write-down of assets recognized in the income statement. Includes, but is not limited to, losses from tangible assets, intangible assets and goodwill.

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