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Summary of Significant Accounting Policies - Schedule of Derivative Instruments on the Consolidated Balance Sheets (Details) - USD ($)
$ in Millions
Sep. 28, 2024
Sep. 30, 2023
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: $ 996.8 $ 35.3
Liabilities: 13.9 2.0
Derivative instrument designated as a cash flow hedge:    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Liabilities: 0.2 0.0
Derivative instrument designated as a cash flow hedge: | Interest Rate Swap    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: 3.1 26.9
Derivative instrument designated as a cash flow hedge: | Interest Rate Swap | Prepaid Expenses and Other Current Assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: 3.1 16.2
Derivative instrument designated as a cash flow hedge: | Interest Rate Swap | Other assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: 0.0 10.7
Derivative instrument designated as a cash flow hedge: | Interest Rate Swap | Other long-term liabilities    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Liabilities: 0.2 0.0
Derivatives not designated as hedging instruments:    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: 0.8 8.4
Derivatives not designated as hedging instruments: | Forward foreign currency contracts | Prepaid Expenses and Other Current Assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: 0.0 8.4
Derivatives not designated as hedging instruments: | Forward foreign currency contracts | Other long-term liabilities    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Liabilities: 12.6 0.0
Derivatives not designated as hedging instruments: | Foreign currency option contracts | Prepaid Expenses and Other Current Assets    
Derivative Instruments and Hedging Activities Disclosures [Line Items]    
Assets: $ 0.8 $ 0.0