Reclassifications Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,183,137	$ 1,234,291	$ 1,037,373
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	12,848	(83,127)	36,761
Ending balance	1,403,506	1,183,137	1,234,291
Accumulated Other Comprehensive Income (Loss)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(208,144)	(125,028)	(161,786)
Other comprehensive income (loss) before reclassifications	10,069	(78,985)	42,816
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	2,780	(4,131)	(6,058)
Other comprehensive income (loss), net of tax	12,849	(83,116)	36,758
Ending balance	(195,295)	(208,144)	(125,028)
Foreign Currency Translation Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(210,556)	(115,634)	(146,275)
Other comprehensive income (loss) before reclassifications	12,623	(94,922)	30,641
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	12,623	(94,922)	30,641
Ending balance	(197,933)	(210,556)	(115,634)
Gain (Loss) on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	2,412	(9,394)	(15,511)
Other comprehensive income (loss) before reclassifications	(5,192)	15,937	12,175
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	2,780	(4,131)	(6,058)
Other comprehensive income (loss), net of tax	(2,412)	11,806	6,117
Ending balance	0	2,412	(9,394)
Net Pension Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	0	0	0
Other comprehensive income (loss) before reclassifications	2,638	0	0
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	2,638	0	0
Ending balance	$ 2,638	$ 0	$ 0