Condensed Consolidated Statements of Stockholder's Equity Statement - USD ($) shares in Thousands, $ in Thousands	Total	Common Stock and Additional Paid in Capital	Treasury Stock, Common	Accumulated Other Comprehensive Income	Accumulated Deficit	Noncontrolling Interest [Member]	Number of Common Shares
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Treasury Stock, Common, Shares			52,766
Balance at Oct. 01, 2022		$ 6,381,348	$ (1,378,159)	$ 56,325	$ (3,239,978)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuances under stock plans, Value		173
Stock-based compensation expense		11,609
APIC Sale of Noncontrolling Interest		78,169
Repurchases of Treasury Stock, Value			$ (8,009)
Total other comprehensive income (loss), net of tax	$ 6,950			6,950
Net income attributable to common shareholders	92,014				92,014
Noncontrolling Interest in Joint Ventures at Oct. 01, 2022						$ 0
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling Interest, Increase from Sale of Parent Equity Interest						132,132
Less: Net income attributable to noncontrolling interest	3,100					3,100
Noncontrolling Interest in Joint Ventures at Dec. 31, 2022						135,232
Common Stock, Shares, Issued at Oct. 01, 2022							110,160
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuances under stock plans, shares							342
Common Stock, Shares, Issued at Dec. 31, 2022							110,502
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Repurchases of treasury stock			136
Balance at Dec. 31, 2022		6,471,299	$ (1,386,168)	63,275	(3,147,964)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stockholders’ equity	2,135,674
Treasury Stock, Common, Shares			52,902
Stockholders’ equity	2,318,625
Treasury Stock, Common, Shares			54,718
Balance at Sep. 30, 2023		6,513,331	$ (1,485,252)	70,879	(2,930,008)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuances under stock plans, Value		147
Stock-based compensation expense		12,585
APIC Sale of Noncontrolling Interest		0
Repurchases of Treasury Stock, Value			$ (115,766)
Total other comprehensive income (loss), net of tax	(3,340)			(3,340)
Net income attributable to common shareholders	57,068				57,068
Noncontrolling Interest in Joint Ventures at Sep. 30, 2023						149,675
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Noncontrolling Interest, Increase from Sale of Parent Equity Interest						0
Less: Net income attributable to noncontrolling interest	3,296					3,296
Noncontrolling Interest in Joint Ventures at Dec. 30, 2023						$ 152,971
Common Stock, Shares, Issued at Sep. 30, 2023							111,550
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuances under stock plans, shares							413
Common Stock, Shares, Issued at Dec. 30, 2023							111,963
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Repurchases of treasury stock			2,331
Balance at Dec. 30, 2023		$ 6,526,063	$ (1,601,018)	$ 67,539	$ (2,872,940)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Stockholders’ equity	$ 2,272,615
Treasury Stock, Common, Shares			57,049