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Investments and Fair Value Measurements (Details) - USD ($)
3 Months Ended 6 Months Ended
Feb. 26, 2022
Feb. 27, 2021
Feb. 26, 2022
Feb. 27, 2021
Aug. 28, 2021
Fair Value, Measurements, Recurring          
Assets that fund deferred compensation          
Domestic equity funds $ 1,265,000   $ 1,265,000   $ 940,000
International equity funds 68,000   68,000   41,000
Fixed income funds 184,000   184,000   46,000
Total assets at fair value 1,517,000   1,517,000   1,027,000
Contingent consideration          
Earnout liability 37,078,000   37,078,000    
Total liabilities at fair value 37,078,000   37,078,000    
Fair Value, Measurements, Recurring | Level 1          
Assets that fund deferred compensation          
Domestic equity funds 1,265,000   1,265,000   940,000
International equity funds 68,000   68,000   41,000
Fixed income funds 184,000   184,000   46,000
Total assets at fair value 1,517,000   1,517,000   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 37,078,000   37,078,000    
Total liabilities at fair value 37,078,000   37,078,000    
Fair Value, Nonrecurring          
Contingent consideration          
Asset impairment charges $ 0 $ 0 $ 0 $ 0