Reclassifications Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,234,291	$ 1,037,373	$ 989,464
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	(83,127)	36,761	(1,203)
Ending balance	1,183,137	1,234,291	1,037,373
Accumulated Other Comprehensive Income (Loss)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(125,028)	(161,786)	(160,584)
Other comprehensive income (loss) before reclassifications	(78,985)	42,816	2,837
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	(4,131)	(6,058)	(4,039)
Other comprehensive income (loss), net of tax	(83,116)	36,758	(1,202)
Ending balance	(208,144)	(125,028)	(161,786)
Foreign Currency Translation Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(115,634)	(146,275)	(149,711)
Other comprehensive income (loss) before reclassifications	(94,922)	30,641	3,436
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	(94,922)	30,641	3,436
Ending balance	(210,556)	(115,634)	(146,275)
Gain (Loss) on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(9,394)	(15,511)	(10,873)
Other comprehensive income (loss) before reclassifications	15,937	12,175	(599)
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	(4,131)	(6,058)	(4,039)
Other comprehensive income (loss), net of tax	11,806	6,117	(4,638)
Ending balance	$ 2,412	$ (9,394)	$ (15,511)