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Borrowings - Senior Notes Narrative (Details)
12 Months Ended
Oct. 02, 2023
USD ($)
Sep. 27, 2024
USD ($)
Sep. 30, 2022
USD ($)
Apr. 27, 2020
USD ($)
Jan. 18, 2018
USD ($)
Mar. 27, 2017
EUR (€)
Mar. 22, 2017
USD ($)
5.000% Senior Notes, Due April 2025 And 3.125% Senior Notes Due April 2025              
Debt Instrument [Line Items]              
Optional redemption price, percentage   101.00%          
Senior Notes | 6.375% Senior Unsecured Notes due May 2025              
Debt Instrument [Line Items]              
Interest rate stated percentage   6.375%          
Face amount       $ 1,500,000,000      
Amortization of debt issuance costs $ 31,800,000            
Debt premium 23,900,000            
Repayments of debt 1,500,000,000            
Senior Notes | 6.375% Senior Unsecured Notes due May 2025 | Interest Expense, net              
Debt Instrument [Line Items]              
Write off of deferred debt issuance cost $ 7,900,000            
Senior Notes | 6.375% Senior Unsecured Notes due May 2025 | Long-term borrowings              
Debt Instrument [Line Items]              
Amortization of debt issuance costs       $ 22,300,000      
Senior Notes | 5.000% Senior Unsecured Notes due April 2025              
Debt Instrument [Line Items]              
Interest rate stated percentage   5.00%         5.00%
Long-term debt             $ 600,000,000.0
Repayments of debt     $ 48,500,000        
Senior Notes | 5.000% Senior Unsecured Notes due February 2028              
Debt Instrument [Line Items]              
Interest rate stated percentage   5.00%     5.00%    
Face amount         $ 1,150,000,000    
Senior Notes | 5.000% Senior Unsecured Notes due February 2028 | Long-term borrowings              
Debt Instrument [Line Items]              
Amortization of debt issuance costs         $ 14,200,000    
Senior Notes | 3.125% Senior Notes, Due April 2025              
Debt Instrument [Line Items]              
Interest rate stated percentage   3.125%          
Long-term debt | €           € 325,000,000.0  
Secured Debt              
Debt Instrument [Line Items]              
Amortization of debt issuance costs   $ 400,000          
Secured Debt | Interest Expense, net              
Debt Instrument [Line Items]              
Amortization of debt issuance costs   $ 1,600,000