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Retirement Plans - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2024
Oct. 01, 2023
Oct. 02, 2022
Retirement Benefits [Abstract]      
Employer contributions to the plans $ 35.3 $ 31.6 $ 29.3
Assets related to deferred compensation plans 70.1 43.5  
Liabilities related to deferred compensation plans 74.3 43.4  
Defined benefit plan, benefits paid during period $ 1.5 $ 1.3