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Commitments and Contingencies and Derivative Financial Instruments (Details)
$ in Millions
 3 Months Ended 12 Months Ended
Feb. 13, 2023
USD ($)
Dec. 27, 2024
USD ($)
instrument
Sep. 27, 2024
USD ($)
instrument
Oct. 02, 2020
Sep. 30, 2022
USD ($)
instrument
Surety Bond          
Loss Contingencies [Line Items]          
Current maturities of long-term debt   $ 2,600.0 $ 2,300.0    
Line of Credit          
Loss Contingencies [Line Items]          
Current maturities of long-term debt   283.3 306.2    
Treasury Lock          
Loss Contingencies [Line Items]          
Number of instruments held | instrument         2
Derivative notional amount         $ 500.0
Gain on derivatives, before taxes $ 37.4        
Unrealized gain (loss) on derivatives   $ 23.0 $ 23.6    
Treasury Lock | Fixed Rate Date          
Loss Contingencies [Line Items]          
Derivative fixed interest rate 5.90%        
Aggregate principal amount $ 500.0        
Interest Rate Swap          
Loss Contingencies [Line Items]          
Number of instruments held | instrument   1 1    
Derivative notional amount   $ 200.0 $ 200.0    
Unrealized gain (loss) on derivatives   22.4 17.4    
Derivative assets (liabilities), at fair value   29.8 23.0    
Interest Rate Swap | Minimum          
Loss Contingencies [Line Items]          
Term of derivative contract       5 years  
Interest Rate Swap | Maximum          
Loss Contingencies [Line Items]          
Term of derivative contract       10 years  
Foreign Exchange Forward          
Loss Contingencies [Line Items]          
Derivative notional amount   693.4 827.3    
Derivative assets (liabilities), at fair value   (7.8) 15.3    
Foreign Exchange Forward | Current Liabilities          
Loss Contingencies [Line Items]          
Derivative assets (liabilities), at fair value   (8.2) (0.5)    
Foreign Exchange Forward | Current Assets          
Loss Contingencies [Line Items]          
Derivative assets (liabilities), at fair value   $ 0.4 $ 15.8    
Foreign Exchange Forward | Minimum          
Loss Contingencies [Line Items]          
Term of derivative contract   1 month      
Foreign Exchange Forward | Maximum          
Loss Contingencies [Line Items]          
Term of derivative contract   12 months