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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 9 Months Ended
Jun. 29, 2024
Mar. 30, 2024
Dec. 30, 2023
Jun. 24, 2023
Mar. 25, 2023
Dec. 24, 2022
Jun. 29, 2024
Jun. 24, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance $ 1,512,167 $ 1,452,586 $ 1,452,813 $ 1,372,247 $ 1,323,444 $ 1,334,712 $ 1,452,813 $ 1,334,712
Comprehensive income 80,103 61,955 1,426 85,195 48,440 (8,067) 143,484 125,569
Amortization of share-based awards 3,895 2,163 4,169 5,017 5,015 4,647    
Restricted share activity, including net share settlement (1,864) (4,343) (1,919) (889) (3,114) (590)    
Issuance of common stock, including net share settlement of stock options 1,479 (194) (1,581) 2,226 1,159 1,708    
Repurchase of stock     (1,422) (16,690) (2,697) (8,966)    
Distribution to Noncontrolling interest     (900)          
Ending balance 1,595,780 1,512,167 1,452,586 1,447,106 1,372,247 1,323,444 1,595,780 1,447,106
Total                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 1,510,788 1,451,889 1,451,353 1,371,094 1,322,854 1,333,706 1,451,353 1,333,706
Comprehensive income 79,350 61,273 1,289 84,772 47,877 (7,651)    
Amortization of share-based awards 3,895 2,163 4,169 5,017 5,015 4,647    
Restricted share activity, including net share settlement (1,864) (4,343) (1,919) (889) (3,114) (590)    
Issuance of common stock, including net share settlement of stock options 1,479 (194) (1,581) 2,226 1,159 1,708    
Repurchase of stock     (1,422) (16,690) (2,697) (8,966)    
Ending balance 1,593,648 1,510,788 1,451,889 1,445,530 1,371,094 1,322,854 1,593,648 1,445,530
Additional Paid In Capital                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 592,136 594,512 594,282 587,243 584,992 581,920 594,282 581,920
Amortization of share-based awards 3,895 2,163 4,169 5,017 5,015 4,647    
Restricted share activity, including net share settlement (1,863) (4,344) (1,918) (887) (3,115) (590)    
Issuance of common stock, including net share settlement of stock options 1,478 (195) (1,583) 2,225 1,158 1,707    
Repurchase of stock     (438) (5,001) (807) (2,692)    
Ending balance 595,646 592,136 594,512 588,597 587,243 584,992 595,646 588,597
Retained Earnings                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 920,803 858,816 859,370 786,776 740,549 755,253 859,370 755,253
Comprehensive income 79,724 61,987 430 83,126 48,115 (8,433)    
Repurchase of stock     (984) (11,685) (1,888) (6,271)    
Ending balance 1,000,527 920,803 858,816 858,217 786,776 740,549 1,000,527 858,217
Accumulated Other Comprehensive Loss                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance (2,825) (2,111) (2,970) (3,601) (3,363) (4,145) (2,970) (4,145)
Comprehensive income (374) (714) 859 1,646 (238) 782    
Ending balance (3,199) (2,825) (2,111) (1,955) (3,601) (3,363) (3,199) (1,955)
Noncontrolling Interest                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 1,379 697 1,460 1,153 590 1,006 1,460 1,006
Comprehensive income 753 682 137 423 563 (416)    
Distribution to Noncontrolling interest     (900)          
Ending balance 2,132 1,379 697 1,576 1,153 590 2,132 1,576
Common Stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Repurchase of stock       (1) (1)      
Common Stock | Common Stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 111 111 111 112 113 113 111 113
Ending balance 111 111 111 111 112 113 111 111
Class A Common Stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Restricted share activity, including net share settlement (1) 1     1      
Issuance of common stock, including net share settlement of stock options 1 1   1        
Repurchase of stock       (3) (1)      
Class A Common Stock | Common Stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 547 545 544 548 547 549 544 549
Restricted share activity, including net share settlement     (1) (2)        
Issuance of common stock, including net share settlement of stock options     2   1 1    
Repurchase of stock           (3)    
Ending balance 547 547 545 544 548 547 547 544
Class B Stock | Common Stock                
Increase (Decrease) in Stockholders' Equity [Roll Forward]                
Beginning balance 16 16 16 16 16 16 16 16
Ending balance $ 16 $ 16 $ 16 $ 16 $ 16 $ 16 $ 16 $ 16