Other Financial Information - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 27, 2024	Sep. 29, 2023
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at the beginning of the period	$ 6,600,082	$ 6,104,392
Other comprehensive (loss) income	158,346	146,624
Reclassifications from other comprehensive income (loss)	(54,314)	(29,448)
Distribution of SpinCo Business	54,472
Balance at the end of the period	4,567,303	6,600,082
Gain (loss), foreign currency transaction after tax	(8,900)	(67,400)
Interest rate and cross currency swaps to be reclassified during the next 12 months	5,900	22,600
Total
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at the beginning of the period	(857,954)	(975,130)
Balance at the end of the period	(699,450)	(857,954)
Change in Pension and Retiree Medical Plan Liabilities
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at the beginning of the period	(325,692)	(307,395)
Other comprehensive (loss) income	(45,190)	(18,485)
Reclassifications from other comprehensive income (loss)	192	188
Distribution of SpinCo Business	(247)
Balance at the end of the period	(370,937)	(325,692)
Foreign Currency Translation Adjustment
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at the beginning of the period	(635,937)	(786,040)
Other comprehensive (loss) income	211,702	150,103
Reclassifications from other comprehensive income (loss)	0	0
Distribution of SpinCo Business	54,719
Balance at the end of the period	(369,516)	(635,937)
Gain/(Loss) on Cash Flow Hedges
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Balance at the beginning of the period	103,675	118,305
Other comprehensive (loss) income	(8,166)	15,006
Reclassifications from other comprehensive income (loss)	(54,506)	(29,636)
Distribution of SpinCo Business	0
Balance at the end of the period	$ 41,003	$ 103,675