Reclassifications Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2021	Sep. 27, 2020	Sep. 29, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	$ 1,037,373	$ 989,464	$ 967,100
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	36,761	(1,203)	(32,991)
Ending balance	1,234,291	1,037,373	989,464
Accumulated Other Comprehensive Income (Loss)
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(161,786)	(160,584)	(127,350)
Other comprehensive income (loss) before reclassifications	42,816	2,837	(32,356)
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	(6,058)	(4,039)	(878)
Other comprehensive income (loss), net of tax	36,758	(1,202)	(33,234)
Ending balance	(125,028)	(161,786)	(160,584)
Foreign Currency Translation Adjustments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(146,275)	(149,711)	(128,602)
Other comprehensive income (loss) before reclassifications	30,641	3,436	(21,109)
Amounts reclassified from accumulated other comprehensive income
Other comprehensive income (loss), net of tax	30,641	3,436	(21,109)
Ending balance	(115,634)	(146,275)	(149,711)
Gain (Loss) on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance		(10,873)	1,252
Other comprehensive income (loss) before reclassifications			(11,247)
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax			(878)
Other comprehensive income (loss), net of tax			(12,125)
Ending balance			$ (10,873)
Gain (Loss) on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning balance	(15,511)
Other comprehensive income (loss) before reclassifications	12,175	(599)
Amounts reclassified from accumulated other comprehensive income
Interest rate contracts, net of tax	(6,058)	(4,039)
Other comprehensive income (loss), net of tax	6,117	(4,638)
Ending balance	$ (9,394)	$ (15,511)