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Retirement Plans - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Retirement Benefits [Abstract]      
Employer contributions to the plans $ 26.9 $ 25.0 $ 23.3
Assets related to deferred compensation plans 41.4 35.1  
Liabilities related to deferred compensation plans $ 41.1 $ 35.0  
Maximum age pension plan was open for new entrants 24 years