Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 31, 2023	Jan. 01, 2023
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	$ 1,403,506	$ 1,183,137
Amounts reclassified from accumulated other comprehensive loss:
Other comprehensive income, net of tax	63,093	33,018
Ending balance	1,537,687	1,323,967
Accumulated Other Comprehensive Income (Loss)
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(195,295)	(208,144)
Other comprehensive income (loss) before reclassifications	63,093	32,572
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		446
Other comprehensive income, net of tax	63,093	33,018
Ending balance	(132,202)	(175,126)
Foreign Currency Translation Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	(197,933)	(210,556)
Other comprehensive income (loss) before reclassifications	63,106	33,107
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		0
Other comprehensive income, net of tax	63,106	33,107
Ending balance	(134,827)	(177,449)
Gain (Loss) on Derivative Instruments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	0	2,412
Other comprehensive income (loss) before reclassifications	0	(535)
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		446
Other comprehensive income, net of tax	0	(89)
Ending balance	0	2,323
Net Pension Adjustments
Reclassifications out of accumulated other comprehensive income (loss)
Beginning balance	2,638	0
Other comprehensive income (loss) before reclassifications	(13)	0
Amounts reclassified from accumulated other comprehensive loss:
Interest rate contracts, net of tax		0
Other comprehensive income, net of tax	(13)	0
Ending balance	$ 2,625	$ 0