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Retirement Plans - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Oct. 03, 2021
Defined Benefit Plan Disclosure [Line Items]      
Employer contributions to the plans $ 31.6 $ 29.3 $ 26.9
Assets related to deferred compensation plans 43.5 36.7  
Liabilities related to deferred compensation plans $ 43.4 36.3  
Maximum age pension plan was open for new entrants 24 years    
Defined benefit plan, benefits paid during period $ 1.3 $ 1.0  
Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Discount rate 5.35% 4.75%  
Minimum | Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Rate of inflation 2.80% 2.95%  
Maximum | Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Rate of inflation 3.35% 3.55%