Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Apr. 02, 2023	Apr. 03, 2022	Apr. 02, 2023	Apr. 03, 2022
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	$ 1,323,967	$ 1,237,945	$ 1,183,137	$ 1,234,291
Amounts reclassified from accumulated other comprehensive loss
Other comprehensive income (loss), net of tax	(6,256)	7,745	26,762	9,725
Ending balance	1,355,668	1,244,642	1,355,668	1,244,642
Accumulated Other Comprehensive Income (Loss)
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(175,126)	(123,048)	(208,144)	(125,028)
Other comprehensive income (loss) before reclassifications	(7,126)	9,139	25,446	12,485
Amounts reclassified from accumulated other comprehensive loss
Interest rate contracts, net of tax	871	(1,394)	1,317	(2,760)
Other comprehensive income (loss), net of tax	(6,255)	7,745	26,763	9,725
Ending balance	(181,381)	(115,303)	(181,381)	(115,303)
Foreign Currency Translation Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(177,449)	(116,320)	(210,556)	(115,634)
Other comprehensive income (loss) before reclassifications	(8,153)	2,807	24,954	2,121
Amounts reclassified from accumulated other comprehensive loss
Other comprehensive income (loss), net of tax	(8,153)	2,807	24,954	2,121
Ending balance	(185,602)	(113,513)	(185,602)	(113,513)
Gain (Loss) on Derivative Instruments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	2,323	(6,728)	2,412	(9,394)
Other comprehensive income (loss) before reclassifications	(1,767)	6,332	(2,302)	10,364
Amounts reclassified from accumulated other comprehensive loss
Interest rate contracts, net of tax	871	(1,394)	1,317	(2,760)
Other comprehensive income (loss), net of tax	(896)	4,938	(985)	7,604
Ending balance	1,427	(1,790)	1,427	(1,790)
Net Pension Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	0	0	0	0
Other comprehensive income (loss) before reclassifications	2,794	0	2,794	0
Amounts reclassified from accumulated other comprehensive loss
Interest rate contracts, net of tax	0	0	0
Other comprehensive income (loss), net of tax	2,794	0	2,794	0
Ending balance	$ 2,794	$ 0	$ 2,794	$ 0