Reclassifications Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 29, 2024	Oct. 01, 2023	Oct. 02, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,403,506	$ 1,183,137	$ 1,234,291
Amounts reclassified from accumulated other comprehensive income (loss)
Other comprehensive income (loss), net of tax	116,420	12,848	(83,127)
Ending balance	1,830,413	1,403,506	1,183,137
Accumulated Other Comprehensive (Loss) Income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(195,295)	(208,144)	(125,028)
Other comprehensive (loss) income before reclassifications	116,420	10,069	(78,985)
Amounts reclassified from accumulated other comprehensive income (loss)
Interest rate contracts, net of tax		2,780	(4,131)
Other comprehensive income (loss), net of tax	116,420	12,849	(83,116)
Ending balance	(78,875)	(195,295)	(208,144)
Foreign Currency Translation Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(197,933)	(210,556)	(115,634)
Other comprehensive (loss) income before reclassifications	115,120	12,623	(94,922)
Amounts reclassified from accumulated other comprehensive income (loss)
Interest rate contracts, net of tax		0	0
Other comprehensive income (loss), net of tax	115,120	12,623	(94,922)
Ending balance	(82,813)	(197,933)	(210,556)
(Loss) Gain on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	0	2,412	(9,394)
Other comprehensive (loss) income before reclassifications	0	(5,192)	15,937
Amounts reclassified from accumulated other comprehensive income (loss)
Interest rate contracts, net of tax		2,780	(4,131)
Other comprehensive income (loss), net of tax	0	(2,412)	11,806
Ending balance	0	0	2,412
Net Pension Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	2,638	0	0
Other comprehensive (loss) income before reclassifications	1,300	2,638	0
Amounts reclassified from accumulated other comprehensive income (loss)
Interest rate contracts, net of tax		0	0
Other comprehensive income (loss), net of tax	1,300	2,638	0
Ending balance	$ 3,938	$ 2,638	$ 0