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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
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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

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