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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. 24, 2022 | Dec. 25, 2021
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | $ 1,334,712 | $ 1,223,541
Comprehensive loss | (8,067) | 8,754
Amortization of share-based awards | 4,647 | 3,886
Restricted share activity, including net share settlement | (590) | (705)
Issuance of common stock, including net share settlement of stock options | 1,708 | 890
Repurchase of stock | (8,966) | (6,660)
Distribution to Noncontrolling interest |  | (806)
Ending balance | 1,323,444 | 1,228,900
Total |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 1,333,706 | 1,222,249
Comprehensive loss | (7,651) | 8,567
Amortization of share-based awards | 4,647 | 3,886
Restricted share activity, including net share settlement | (590) | (705)
Issuance of common stock, including net share settlement of stock options | 1,708 | 890
Repurchase of stock | (8,966) | (6,660)
Ending balance | 1,322,854 | 1,228,227
Additional Paid In Capital |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 582,056 | 576,446
Amortization of share-based awards | 4,647 | 3,886
Restricted share activity, including net share settlement | (590) | (705)
Issuance of common stock, including net share settlement of stock options | 1,707 | 890
Repurchase of stock | (2,693) | (1,600)
Ending balance | 585,127 | 578,917
Retained Earnings |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 755,253 | 646,082
Comprehensive loss | (8,433) | 9,009
Repurchase of stock | (6,271) | (5,059)
Ending balance | 740,549 | 650,032
Accumulated Other Comprehensive Income (Loss) |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | (4,145) | (831)
Comprehensive loss | 782 | (442)
Ending balance | (3,363) | (1,273)
Noncontrolling Interest |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 1,006 | 1,292
Comprehensive loss | (416) | 187
Distribution to Noncontrolling interest |  | (806)
Ending balance | 590 | 673
Common Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 113 | 113
Ending balance | 113 | 113
Class A Common Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | $ 413 | 423
Restricted share activity, including net share settlement |  | 0
Issuance of common stock, including new shares settlement of stock options (in shares) | 1 |
Repurchase of stock (in shares) | (2) |
Repurchase of stock |  | (1)
Ending balance | $ 412 | 422
Class B Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 16 | 16
Ending balance | $ 16 | $ 16

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