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Deferred Compensation Plan (Details) - USD ($)
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Sep. 24, 2022
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Deferred Compensation Liability, Current and Noncurrent $ 82,400,000 $ 65,400,000  
Nonqualified Deferred Compensation Plan      
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Maximum employee contributions from base salary, percentage 75.00%    
Maximum employee contributions from annual bonus, percentage 100.00%    
Employee contributions vested, percentage 100.00%    
Compensation expense for the DCP discretionary contributions $ 3,500,000 3,900,000 $ 4,000,000.0
Investment in group life insurance contracts $ 71,000,000.0 $ 56,100,000  
Percent vested annually 33.33%    
Nonqualified Deferred Compensation Plan | One Third Annually      
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Contributions, vesting period, years 3 years