Consolidated Statements of Stockholders' Equity - USD ($) shares in Thousands, $ in Thousands	Total	Number of Common Shares	Common Stock And Additional Paid in Capital	Accumulated Other Comprehensive Income	Accumulated Deficit	Treasury Stock, Common	Noncontrolling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling interest							$ 0
Total stockholders' equity	$ 1,852,632
Balance at Oct. 02, 2021			$ 6,339,506	$ 40,690	$ (3,480,362)	$ (1,047,202)
Common Stock, Shares, Issued at Oct. 02, 2021		108,734
Treasury Stock, Shares at Oct. 02, 2021						(44,427)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuances under stock plans		1,426
Issuances Under Stock Plans, Value	2,378		2,378
Stock-based compensation	39,608		39,608
Treasury Stock, Shares at Oct. 01, 2022						(52,766)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Repurchases of treasury stock			(144)
Repurchases of Treasury Stock, Shares						(8,339)
Repurchases of Treasury Stock, Value	(331,101)					$ (330,957)
Total other comprehensive income (loss), net of tax	15,635			15,635
Common Stock, Shares, Issued at Oct. 01, 2022		110,160
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income attributable to common shareholders	240,384				240,384
Less: Net income attributable to noncontrolling interest	0						0
Net income before noncontrolling interest	240,384
Balance at Oct. 01, 2022			6,381,348	56,325	(3,239,978)	$ (1,378,159)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling interest							0
Total stockholders' equity	1,819,536
Issuances under stock plans		1,390
Issuances Under Stock Plans, Value	3,412		3,412
Stock-based compensation	50,402		50,402
Repurchases of treasury stock	$ 107,093
Treasury Stock, Shares at Sep. 30, 2023	(54,718)					(54,718)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Repurchases of treasury stock			0
Repurchases of Treasury Stock, Shares						(1,952)
Repurchases of Treasury Stock, Value						$ (107,093)
Total other comprehensive income (loss), net of tax	$ 14,554			14,554
Common Stock, Shares, Issued at Sep. 30, 2023	111,550	111,550
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income attributable to common shareholders	$ 309,970				309,970
APIC Sale of Noncontrolling Interest			78,169
Noncontrolling Interest, Increase from Sale of Parent Equity Interest							132,132
Sale of Noncontrolling Interest	210,301
Less: Net income attributable to noncontrolling interest	17,543						17,543
Net income before noncontrolling interest	327,513
Balance at Sep. 30, 2023			6,513,331	70,879	(2,930,008)	$ (1,485,252)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling interest	149,675						149,675
Total stockholders' equity	2,318,625
Issuances under stock plans		1,567
Issuances Under Stock Plans, Value	6,161		6,161
Stock-based compensation	57,407		57,407
Repurchases of treasury stock	$ 254,298
Treasury Stock, Shares at Sep. 28, 2024	(59,196)					(59,196)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Repurchases of treasury stock			0
Repurchases of Treasury Stock, Shares						(4,478)
Repurchases of Treasury Stock, Value						$ (254,298)
Total other comprehensive income (loss), net of tax	$ (4,138)			(4,138)
Common Stock, Shares, Issued at Sep. 28, 2024	113,117	113,117
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income attributable to common shareholders	$ 222,536				222,536
Less: Net income attributable to noncontrolling interest	15,215						15,215
Net income before noncontrolling interest	237,751
Balance at Sep. 28, 2024			$ 6,576,899	$ 66,741	$ (2,707,472)	$ (1,739,550)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling interest	164,890						$ 164,890
Total stockholders' equity	$ 2,361,508