Debt (Details) $ in Millions	12 Months Ended
	Oct. 02, 2026 USD ($)	Oct. 03, 2025 USD ($)	Sep. 27, 2024 USD ($)	Aug. 10, 2026 USD ($)	Jul. 26, 2021 USD ($)	May 26, 2021 USD ($)	May 21, 2021 USD ($)
Debt Instrument [Line Items]
Debt, repayments	$ 500.0	$ 0.0	$ 300.0
Revolver
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity							$ 750.0
Additional borrowing capacity							250.0
Debt, gross	$ 0.0
Covenant compliance, maximum leverage ratio	3.0
Term Loans
Debt Instrument [Line Items]
Line of credit facility, maximum borrowing capacity							$ 1,000.0
Debt, gross					$ 1,000.0
Debt, repayments			$ 300.0
2026 Notes
Debt Instrument [Line Items]
Debt, gross	$ 0.0	500.0
Interest rate, stated percentage						1.80%
Debt, repayments	500.0
2028 Notes
Debt Instrument [Line Items]
Debt, gross	$ 800.0	0.0		$ 800.0
Interest rate, stated percentage				5.00%
Redemption price, percentage	101.00%
2031 Notes
Debt Instrument [Line Items]
Debt, gross	$ 500.0	500.0				$ 500.0
Interest rate, stated percentage						3.00%
Redemption price, percentage	101.00%
2032 Notes
Debt Instrument [Line Items]
Debt, gross	$ 600.0	0.0		$ 600.0
Interest rate, stated percentage				5.75%
Redemption price, percentage	101.00%
2036 Notes
Debt Instrument [Line Items]
Debt, gross	$ 600.0	$ 0.0		$ 600.0
Interest rate, stated percentage				6.25%
Redemption price, percentage	101.00%