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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. 28, 2024 | Dec. 30, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | $ 1,557,545 | $ 1,452,813
Comprehensive income (loss) | 12,146 | 1,426
Amortization of share-based awards | 3,648 | 4,169
Restricted share activity, including net share settlement | (1,811) | (1,919)
Issuance of common stock, including net share settlement of stock options | 1,790 | (1,581)
Repurchase of stock | (52,141) | (1,422)
Distribution to Noncontrolling interest | (1,346) | (900)
Ending balance | 1,519,831 | 1,452,586
Total |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 1,555,654 | 1,451,353
Comprehensive income (loss) | 11,974 | 1,289
Amortization of share-based awards | 3,648 | 4,169
Restricted share activity, including net share settlement | (1,811) | (1,919)
Issuance of common stock, including net share settlement of stock options | 1,790 | (1,581)
Repurchase of stock | (52,141) | (1,422)
Ending balance | 1,519,114 | 1,451,889
Additional Paid In Capital |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 598,098 | 594,282
Amortization of share-based awards | 3,648 | 4,169
Restricted share activity, including net share settlement | (1,810) | (1,918)
Issuance of common stock, including net share settlement of stock options | 1,789 | (1,583)
Repurchase of stock | (14,948) | (438)
Ending balance | 586,777 | 594,512
Retained Earnings |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 959,511 | 859,370
Comprehensive income (loss) | 14,009 | 430
Repurchase of stock | (37,176) | (984)
Ending balance | 936,344 | 858,816
Accumulated Other Comprehensive Income (Loss) |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | (2,626) | (2,970)
Comprehensive income (loss) | (2,035) | 859
Ending balance | (4,661) | (2,111)
Noncontrolling Interest |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 1,891 | 1,460
Comprehensive income (loss) | 172 | 137
Distribution to Noncontrolling interest | (1,346) | (900)
Ending balance | 717 | 697
Common Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 111 | 111
Repurchase of stock | (4) |
Ending balance | 107 | 111
Class A Common Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 544 | 544
Restricted share activity, including net share settlement | $ (1) | $ (1)
Issuance of common stock, including new shares settlement of stock options (in shares) | 1 | 2
Repurchase of stock | $ (13) |
Ending balance | 531 | $ 545
Class B Stock | Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 16 | 16
Ending balance | $ 16 | $ 16

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