Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2024	Apr. 02, 2023	Mar. 31, 2024	Apr. 02, 2023
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	$ 1,537,687	$ 1,323,967	$ 1,403,506	$ 1,183,137
Amounts reclassified from accumulated other comprehensive loss:
Other comprehensive income (loss), net of tax	(24,344)	(6,256)	38,749	26,762
Ending balance	1,584,850	1,355,668	1,584,850	1,355,668
Accumulated Other Comprehensive Income (Loss)
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(132,202)	(175,126)	(195,295)	(208,144)
Other comprehensive income (loss) before reclassifications	(24,344)	(7,126)	38,749	25,446
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		871		1,317
Other comprehensive income (loss), net of tax	(24,344)	(6,255)	38,749	26,763
Ending balance	(156,546)	(181,381)	(156,546)	(181,381)
Foreign Currency Translation Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(134,827)	(177,449)	(197,933)	(210,556)
Other comprehensive income (loss) before reclassifications	(24,344)	(8,153)	38,762	24,954
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		0		0
Other comprehensive income (loss), net of tax	(24,344)	(8,153)	38,762	24,954
Ending balance	(159,171)	(185,602)	(159,171)	(185,602)
Gain (Loss) on Derivative Instruments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	0	2,323	0	2,412
Other comprehensive income (loss) before reclassifications	0	(1,767)	0	(2,302)
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		871		1,317
Other comprehensive income (loss), net of tax	0	(896)	0	(985)
Ending balance	0	1,427	0	1,427
Net Pension Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	2,625	0	2,638	0
Other comprehensive income (loss) before reclassifications	0	2,794	(13)	2,794
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		0		0
Other comprehensive income (loss), net of tax	0	2,794	(13)	2,794
Ending balance	$ 2,625	$ 2,794	$ 2,625	$ 2,794