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Derivatives, Investments, and Fair Value Measurements - Fair Value Inputs (Details) - USD ($)
12 Months Ended
Aug. 27, 2022
Aug. 28, 2021
Aug. 29, 2020
Fair Value, Measurements, Recurring      
Assets that fund deferred compensation:      
Domestic equity funds $ 1,175,000 $ 940,000  
International equity funds 55,000 41,000  
Fixed income funds 181,000 46,000  
Total assets at fair value 1,411,000 1,027,000  
Contingent consideration      
Earnout liability 39,812,000    
Total liabilities at fair value 39,812,000    
Fair Value, Measurements, Recurring | Level 1      
Assets that fund deferred compensation:      
Domestic equity funds 1,175,000 940,000  
International equity funds 55,000 41,000  
Fixed income funds 181,000 46,000  
Total assets at fair value 1,411,000 1,027,000  
Contingent consideration      
Earnout liability 0    
Total liabilities at fair value 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    
Total liabilities at fair value 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 39,812,000    
Total liabilities at fair value 39,812,000    
Fair Value, Measurements, Nonrecurring      
Contingent consideration      
Asset impairment charges $ 0 $ 0 $ 0