Long-Term Debt - Convertible Senior Notes (Details) $ / shares in Units, $ in Thousands			12 Months Ended
	Sep. 29, 2024 USD ($) $ / shares	Aug. 22, 2023 USD ($) $ / shares	Sep. 29, 2024 USD ($) $ / shares	Oct. 01, 2023 USD ($)	Oct. 02, 2022 USD ($)
Debt Instrument [Line Items]
Proceeds from issuance of convertible notes			$ 0	$ 575,000	$ 0
Repayments of secured debt			287,000	$ 1,026,051	$ 117,080
Revolving Credit Facility
Debt Instrument [Line Items]
Repayments of long-term lines of credit		$ 185,000
Convertible Debt
Debt Instrument [Line Items]
Payments for capped calls		51,800
2028 Senior Notes | Convertible Debt
Debt Instrument [Line Items]
Principal	$ 575,000	$ 575,000	$ 575,000
Interest rate, stated percentage		2.25%
Debt instrument, convertible, conversion ratio	0.0025432	0.0050855
Initial conversion price (in dollars per share) | $ / shares	$ 39.32	$ 196.64	$ 39.32
Redemption price, percentage of principal amount to be redeemed		100.00%
Percentage of conversion stock price		130.00%
Proceeds from issuance of convertible notes		$ 560,500
Debt instrument, interest rate, effective percentage		2.79%
Term Loan Facility Due 2027
Debt Instrument [Line Items]
Repayments of secured debt		$ 234,400
Term Loan Facility Due 2026
Debt Instrument [Line Items]
Repayments of secured debt		$ 89,400