Reclassifications Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 28, 2025	Sep. 29, 2024	Oct. 01, 2023
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance	$ 1,830,413	$ 1,403,506	$ 1,183,137
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	(16,902)	116,420	12,848
Ending balance	1,780,164	1,830,413	1,403,506
Accumulated Other Comprehensive (Loss) Income
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance	(78,875)	(195,295)	(208,144)
Other comprehensive income (loss) before reclassifications	(16,902)	116,420	10,069
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax			2,780
Other comprehensive income (loss), net of tax	(16,902)	116,420	12,849
Ending balance	(95,777)	(78,875)	(195,295)
Foreign Currency Translation Adjustments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance	(82,813)	(197,933)	(210,556)
Other comprehensive income (loss) before reclassifications	(17,165)	115,120	12,623
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax			0
Other comprehensive income (loss), net of tax	(17,165)	115,120	12,623
Ending balance	(99,978)	(82,813)	(197,933)
(Loss) Gain on Derivative Instruments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance	0	0	2,412
Other comprehensive income (loss) before reclassifications	0	0	(5,192)
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax			2,780
Other comprehensive income (loss), net of tax	0	0	(2,412)
Ending balance	0	0	0
Net Pension Adjustments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning balance	3,938	2,638	0
Other comprehensive income (loss) before reclassifications	263	1,300	2,638
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax			0
Other comprehensive income (loss), net of tax	263	1,300	2,638
Ending balance	$ 4,201	$ 3,938	$ 2,638