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Leases - Additional Information (Details) - USD ($)
$ in Millions
9 Months Ended
May 27, 2022
May 28, 2021
Aug. 27, 2021
Lessee Lease Description [Line Items]      
Operating lease payments $ 7.3 $ 6.1  
Right-of-use assets obtained in exchange for operating lease liabilities $ 10.6 $ 16.9  
Weighted-average remaining lease term for operating leases 6 years 9 months 18 days   6 years 1 month 6 days
Weighted-average discount rate for operating leases 6.50%   6.70%
Office Leases      
Lessee Lease Description [Line Items]      
Operating lease term 16 years    
Additional operating lease commitments $ 51.8    
Minimum      
Lessee Lease Description [Line Items]      
Operating lease term 2 years    
Maximum      
Lessee Lease Description [Line Items]      
Operating lease term 5 years