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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. 30, 2024
Dec. 30, 2023
Mar. 25, 2023
Dec. 24, 2022
Mar. 30, 2024
Mar. 25, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance $ 1,452,586 $ 1,452,813 $ 1,323,444 $ 1,334,712 $ 1,452,813 $ 1,334,712
Comprehensive income 61,955 1,426 48,440 (8,067) 63,381 40,374
Amortization of share-based awards 2,163 4,169 5,015 4,647    
Restricted share activity, including net share settlement (4,343) (1,919) (3,114) (590)    
Issuance of common stock, including net share settlement of stock options (194) (1,581) 1,159 1,708    
Repurchase of stock   (1,422) (2,697) (8,966)    
Distribution to Noncontrolling interest   (900)        
Ending balance 1,512,167 1,452,586 1,372,247 1,323,444 1,512,167 1,372,247
Total            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 1,451,889 1,451,353 1,322,854 1,333,706 1,451,353 1,333,706
Comprehensive income 61,273 1,289 47,877 (7,651)    
Amortization of share-based awards 2,163 4,169 5,015 4,647    
Restricted share activity, including net share settlement (4,343) (1,919) (3,114) (590)    
Issuance of common stock, including net share settlement of stock options (194) (1,581) 1,159 1,708    
Repurchase of stock   (1,422) (2,697) (8,966)    
Ending balance 1,510,788 1,451,889 1,371,094 1,322,854 1,510,788 1,371,094
Additional Paid In Capital            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 594,512 594,282 584,992 581,920 594,282 581,920
Amortization of share-based awards 2,163 4,169 5,015 4,647    
Restricted share activity, including net share settlement (4,344) (1,918) (3,115) (590)    
Issuance of common stock, including net share settlement of stock options (195) (1,583) 1,158 1,707    
Repurchase of stock   (438) (807) (2,692)    
Ending balance 592,136 594,512 587,243 584,992 592,136 587,243
Retained Earnings            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 858,816 859,370 740,549 755,253 859,370 755,253
Comprehensive income 61,987 430 48,115 (8,433)    
Repurchase of stock   (984) (1,888) (6,271)    
Ending balance 920,803 858,816 786,776 740,549 920,803 786,776
Accumulated Other Comprehensive Loss            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance (2,111) (2,970) (3,363) (4,145) (2,970) (4,145)
Comprehensive income (714) 859 (238) 782    
Ending balance (2,825) (2,111) (3,601) (3,363) (2,825) (3,601)
Noncontrolling Interest            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 697 1,460 590 1,006 1,460 1,006
Comprehensive income 682 137 563 (416)    
Distribution to Noncontrolling interest   (900)        
Ending balance 1,379 697 1,153 590 1,379 1,153
Common Stock            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Repurchase of stock     (1)      
Common Stock | Common Stock            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 111 111 113 113 111 113
Ending balance 111 111 112 113 111 112
Class A Common Stock            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Restricted share activity, including net share settlement 1   1      
Issuance of common stock, including net share settlement of stock options 1          
Repurchase of stock     (1)      
Class A Common Stock | Common Stock            
Increase (Decrease) in Stockholders' Equity [Roll Forward]            
Beginning balance 545 544 547 549 544 549
Restricted share activity, including net share settlement   (1)        
Issuance of common stock, including net share settlement of stock options   2 1 1    
Repurchase of stock       (3)    
Ending balance 547 545 548 547 547 548
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