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Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - USD ($)	3 Months Ended		9 Months Ended
	May 28, 2022	May 29, 2021	May 28, 2022	May 29, 2021	Aug. 28, 2021
Fair Value, Measurements, Recurring
Assets that fund deferred compensation
Domestic equity funds	$ 1,206,000		$ 1,206,000		$ 940,000
International equity funds	61,000		61,000		41,000
Fixed income funds	183,000		183,000		46,000
Total assets at fair value	1,450,000		1,450,000		1,027,000
Contingent consideration
Earnout liability	35,147,000		35,147,000
Total liabilities at fair value	35,147,000		35,147,000
Fair Value, Measurements, Recurring | Level 1
Assets that fund deferred compensation
Domestic equity funds	1,206,000		1,206,000		940,000
International equity funds	61,000		61,000		41,000
Fixed income funds	183,000		183,000		46,000
Total assets at fair value	1,450,000		1,450,000		1,027,000
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		0
International equity funds	0		0		0
Fixed income funds	0		0		0
Total assets at fair value	0		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		0
International equity funds	0		0		0
Fixed income funds	0		0		0
Total assets at fair value	0		0		$ 0
Contingent consideration
Earnout liability	35,147,000		35,147,000
Total liabilities at fair value	35,147,000		35,147,000
Fair Value, Nonrecurring
Contingent consideration
Asset impairment charges	$ 0	$ 0	$ 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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