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Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - USD ($)
9 Months Ended
May 27, 2023
May 28, 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 19,800,000   39,800,000
Total liabilities at fair value 19,800,000   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 19,800,000   39,800,000
Total liabilities at fair value 19,800,000   $ 39,800,000
Fair Value, Nonrecurring      
Contingent consideration      
Asset impairment charges $ 0 $ 0