Supplemental Equity Information - Summary of Changes in Carrying Amounts of Equity Attributable to Controlling Interest and Noncontrolling Interest (Details) - USD ($) shares in Thousands, $ in Thousands	3 Months Ended
	Dec. 30, 2023	Dec. 24, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 1,452,813	$ 1,334,712
Comprehensive income	1,426	(8,067)
Amortization of share-based awards	4,169	4,647
Restricted share activity, including net share settlement	(1,919)	(590)
Issuance of common stock, including net share settlement of stock options	(1,581)	1,708
Repurchase of stock	(1,422)	(8,966)
Distribution to Noncontrolling interest	(900)
Ending balance	1,452,586	1,323,444
Total
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	1,451,353	1,333,706
Comprehensive income	1,289	(7,651)
Amortization of share-based awards	4,169	4,647
Restricted share activity, including net share settlement	(1,919)	(590)
Issuance of common stock, including net share settlement of stock options	(1,581)	1,708
Repurchase of stock	(1,422)	(8,966)
Ending balance	1,451,889	1,322,854
Additional Paid In Capital
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	594,416	582,056
Amortization of share-based awards	4,169	4,647
Restricted share activity, including net share settlement	(1,918)	(590)
Issuance of common stock, including net share settlement of stock options	(1,583)	1,707
Repurchase of stock	(438)	(2,693)
Ending balance	594,646	585,127
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	859,370	755,253
Comprehensive income	430	(8,433)
Repurchase of stock	(984)	(6,271)
Ending balance	858,816	740,549
Accumulated Other Comprehensive Income (Loss)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(2,970)	(4,145)
Comprehensive income	859	782
Ending balance	(2,111)	(3,363)
Noncontrolling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	1,460	1,006
Comprehensive income	137	(416)
Distribution to Noncontrolling interest	(900)
Ending balance	697	590
Common Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	111	113
Ending balance	111	113
Class A Common Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	410	$ 413
Restricted share activity, including net share settlement	$ (1)
Issuance of common stock, including new shares settlement of stock options (in shares)	2	1
Repurchase of stock		$ (2)
Ending balance	$ 411	412
Class B Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	16	16
Ending balance	$ 16	$ 16