Supplemental Equity Information - Summary of Changes in Carrying Amounts of Equity Attributable to Controlling Interest and Noncontrolling Interest (Details) - USD ($) $ in Thousands	3 Months Ended				6 Months Ended
	Mar. 28, 2026	Dec. 27, 2025	Mar. 29, 2025	Dec. 28, 2024	Mar. 28, 2026	Mar. 29, 2025
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 1,575,960	$ 1,584,933	$ 1,519,831	$ 1,557,545	$ 1,584,933	$ 1,557,545
Comprehensive income (loss)	79,613	7,351	64,853	12,146	86,963	76,999
Amortization of share-based awards	2,643	3,026	2,387	3,648
Restricted share activity, including net share settlement	(4,162)	(1,411)	(3,573)	(1,811)
Issuance of common stock, including net share settlement of stock options	1,709	1,697	1,176	1,790
Repurchase of stock	(3,422)	(18,497)	(41,270)	(52,141)
Distribution to Noncontrolling interest		(1,139)		(1,346)
Ending balance	1,652,341	1,575,960	1,543,404	1,519,831	1,652,341	1,543,404
Total
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	1,575,416	1,583,268	1,519,114	1,555,654	1,583,268	1,555,654
Comprehensive income (loss)	79,062	7,333	63,679	11,974
Amortization of share-based awards	2,643	3,026	2,387	3,648
Restricted share activity, including net share settlement	(4,162)	(1,411)	(3,573)	(1,811)
Issuance of common stock, including net share settlement of stock options	1,709	1,697	1,176	1,790
Repurchase of stock	(3,422)	(18,497)	(41,270)	(52,141)
Ending balance	1,651,246	1,575,416	1,541,513	1,519,114	1,651,246	1,541,513
Additional Paid In Capital
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	568,702	571,392	586,777	598,098	571,392	598,098
Amortization of share-based awards	2,643	3,026	2,387	3,648
Restricted share activity, including net share settlement	(4,164)	(1,411)	(3,574)	(1,810)
Issuance of common stock, including net share settlement of stock options	1,708	1,696	1,175	1,789
Repurchase of stock	(1,002)	(6,001)	(10,996)	(14,948)
Ending balance	567,887	568,702	575,769	586,777	567,887	575,769
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	1,009,448	1,015,096	936,344	959,511	1,015,096	959,511
Comprehensive income (loss)	79,421	6,841	63,633	14,009
Repurchase of stock	(2,419)	(12,489)	(30,262)	(37,176)
Ending balance	1,086,450	1,009,448	969,715	936,344	1,086,450	969,715
Accumulated Other Comprehensive Income (Loss)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(3,357)	(3,849)	(4,661)	(2,626)	(3,849)	(2,626)
Comprehensive income (loss)	(359)	492	46	(2,035)
Ending balance	(3,716)	(3,357)	(4,615)	(4,661)	(3,716)	(4,615)
Noncontrolling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	544	1,665	717	1,891	1,665	1,891
Comprehensive income (loss)	551	18	1,174	172
Distribution to Noncontrolling interest		(1,139)		(1,346)
Ending balance	1,095	544	1,891	717	1,095	1,891
Common Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	97	97	107	111	97	111
Repurchase of stock	0	0	(5)	(4)
Ending balance	97	97	102	107	97	102
Class A Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Issuance of common stock, including net share settlement of stock options	1	1	1
Class A Common Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	510	516	531	544	516	544
Restricted share activity, including net share settlement	2	0	1	(1)
Issuance of common stock, including net share settlement of stock options				1
Repurchase of stock	(1)	(7)	(7)	(13)
Ending balance	512	510	526	531	512	526
Class B Stock | Common Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	16	16	16	16	16	16
Ending balance	$ 16	$ 16	$ 16	$ 16	$ 16	$ 16