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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
--- | ---
Dec. 28, 2019 | Dec. 29, 2018
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | $ 996,177 | $ 952,834
Comprehensive income | (4,103) | 1,365
Amortization of share-based awards | 2,804 | 2,261
Restricted share activity, including net share settlement | (318) | (385)
Repurchase of stock | (22,128) |
Issuance of common stock, including net share settlement of stock options | 740 | 409
Ending balance | 973,172 | 956,484
Total |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 996,007 | 952,449
Comprehensive income | (3,981) | 1,529
Amortization of share-based awards | 2,804 | 2,261
Restricted share activity, including net share settlement | (318) | (385)
Repurchase of stock | (22,128) |
Issuance of common stock, including net share settlement of stock options | 740 | 409
Ending balance | 973,124 | 956,263
Accumulated Other Comprehensive Income (Loss) |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | (1,676) | (1,218)
Comprehensive income | 436 | (274)
Ending balance | (1,240) | (1,492)
Noncontrolling Interest |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 170 | 385
Comprehensive income | (122) | (164)
Ending balance | 48 | 221
Additional Paid In Capital |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 575,380 | 590,168
Amortization of share-based awards | 2,804 | 2,261
Restricted share activity, including net share settlement | (318) | (386)
Repurchase of stock | (8,488) |
Issuance of common stock, including net share settlement of stock options | 739 | 408
Ending balance | 570,117 | 592,451
Retained Earnings |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 421,742 | 362,923
Comprehensive income | (4,417) | 1,803
Repurchase of stock | (13,632) |
Ending balance | 403,693 | 364,726
Common Class |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 115 | 121
Ending balance | 115 | 121
Class A Common Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 430 | 439
Restricted share activity, including net share settlement | 0 | 1
Repurchase of stock | (8) |
Issuance of common stock, including net share settlement of stock options | 1 | 1
Ending balance | 423 | 441
Class B Stock |  |
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |
Beginning balance | 16 | 16
Ending balance | $ 16 | $ 16

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