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Borrowings - Schedule of Long-term Borrowings, Net (Details) - USD ($) $ in Thousands	Apr. 03, 2026	Oct. 03, 2025	Mar. 19, 2025
Debt Instrument [Line Items]
Finance leases	$ 66,270	$ 59,174
Other	7,783	5,726
Debt and capital lease obligations	6,090,189	5,405,937
Less—current portion	(33,853)	(31,543)
Long-term borrowings, net	$ 6,056,336	5,374,394
Finance Lease, Liability, Statement of Financial Position [Extensible Enumeration]	Long-term borrowings, net
4.375% Senior Unsecured Notes (EUR) due April 2033 \| Senior Unsecured Notes:
Debt Instrument [Line Items]
Long-term debt	$ 456,219	464,793
4.375% Senior Unsecured Notes (EUR) due April 2033 \| Senior Notes
Debt Instrument [Line Items]
Interest rate stated percentage	4.375%		4.375%
5.000% Senior Unsecured Notes due February 2028 \| Senior Unsecured Notes:
Debt Instrument [Line Items]
Long-term debt	$ 1,146,825	1,146,007
5.000% Senior Unsecured Notes due February 2028 \| Senior Notes
Debt Instrument [Line Items]
Interest rate stated percentage	5.00%
Receivables Facility due September 2028
Debt Instrument [Line Items]
Long-term debt	$ 625,000	0
Revolving Credit Facility \| $1.4 Billion Revolving Credit Facility due August 2029 \| Senior Secured Credit Facility:
Debt Instrument [Line Items]
Maximum borrowing capacity	1,400,000
$1.4 Billion Revolving Credit Facility due August 2029 \| Senior Secured Credit Facility:
Debt Instrument [Line Items]
Long-term debt	325,749	189,794
Term A Loans due August 2029 \| Senior Secured Credit Facility:
Debt Instrument [Line Items]
Long-term debt	434,445	446,575
United States Term B Loans due June 2030 \| Senior Secured Credit Facility:
Debt Instrument [Line Items]
Long-term debt	2,300,487	2,367,181
United States Term B Loans due April 2028 \| Senior Secured Credit Facility:
Debt Instrument [Line Items]
Long-term debt	$ 727,411	$ 726,687