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Employee Pension and Profit Sharing Plans - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Defined Benefit Plan Disclosure [Line Items]      
Accumulated benefit obligation $ 120.5 $ 122.5  
Actuarial losses recognized in other comprehensive loss, before tax 7.1 14.6  
Amortization of actuarial gains (losses) recognized as net periodic pension cost 0.4 4.6  
Expected future employer contributions during next fiscal year 1.0    
United States      
Defined Benefit Plan Disclosure [Line Items]      
Defined contribution cost recognized 30.3 28.6 $ 28.1
Foreign Plan      
Defined Benefit Plan Disclosure [Line Items]      
Defined contribution cost recognized $ 15.3 $ 15.1 $ 15.2
Minimum | Equity Securities      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 5.00%    
Minimum | Debt Securities      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 75.00%    
Minimum | Real Estate and Cash and Cash Equivalents      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 0.00%    
Maximum | Equity Securities      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 15.00%    
Maximum | Debt Securities      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 95.00%    
Maximum | Real Estate and Cash and Cash Equivalents      
Defined Benefit Plan Disclosure [Line Items]      
Minimum target plan asset allocations 10.00%