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Retirement Plans (Narrative) (Details)
4 Months Ended 8 Months Ended 12 Months Ended
Jan. 01, 2016
Jan. 19, 2020
USD ($)
Sep. 27, 2020
USD ($)
Oct. 03, 2021
USD ($)
defined_benefit_plan
Sep. 27, 2020
USD ($)
Sep. 29, 2019
USD ($)
Defined Benefit Plan Disclosure [Line Items]            
Number of sponsored defined benefit pension plans | defined_benefit_plan       2    
Lump sum payments from qualified plan   $ 122,300,000        
Pension settlement   $ 38,600,000 $ 600,000      
Minimum required contribution for retirement plans       $ 0    
Qualified Defined Contribution Plan            
Defined Benefit Plan Disclosure [Line Items]            
Minimum age of eligible employees       21 years    
Employer matching contribution, percent of match 100.00%          
Employer matching contribution, percent of employees' gross pay 4.00%          
Defined contribution plan, Company contributions       $ 1,600,000 $ 1,600,000 $ 1,700,000
Non-Qualified Deferred Compensation Plan            
Defined Benefit Plan Disclosure [Line Items]            
Defined contribution plan, Company contributions       $ 100,000 $ 300,000 $ 200,000
Maximum annual contributions per employee, percent       50.00%    
Maximum annual contributions per employee, percent of bonus       85.00%