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INCOME TAXES (Effective income tax rate reconciliation) (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Oct. 03, 2020 | Jun. 27, 2020 | Mar. 28, 2020 | Dec. 28, 2019 | Sep. 28, 2019 | Jun. 29, 2019 | Mar. 30, 2019 | Dec. 29, 2018 | Oct. 03, 2020 | Sep. 28, 2019 | Sep. 29, 2018
Income Tax Disclosure [Abstract] |  |  |  |  |  |  |  |  |  |  |
Expected income provision based on the U.S. federal statutory tax rate |  |  |  |  |  |  |  |  | $ 13,510 | $ 7,284 | $ 43,568
Effect of earnings of foreign subsidiaries subject to different tax rates |  |  |  |  |  |  |  |  | (1,634) | (4,335) | (12,947)
Benefit from tax incentives |  |  |  |  |  |  |  |  | (6,781) | (5,084) | (20,429)
Benefit from research and development tax credits |  |  |  |  |  |  |  |  | (2,915) | (3,041) | (2,785)
Benefit from foreign tax credits |  |  |  |  |  |  |  |  | (1,701) | (22,744) | (3,939)
U.S. one-time transition tax |  |  |  |  |  |  |  |  | 0 | 9,369 | 101,854
Remeasurement of deferred taxes |  |  |  |  |  |  |  |  | (145) | 5,480 | 2,760
Valuation allowance |  |  |  |  |  |  |  |  | 1,224 | 25,289 | 7,366
Foreign operations (withholding taxes, taxes on unrepatriated foreign earnings, and deemed income) |  |  |  |  |  |  |  |  | 8,886 | 8,578 | 5,746
Unrecognized tax benefit |  |  |  |  |  |  |  |  | 285 | 156 | 530
Non-deductible items |  |  |  |  |  |  |  |  | 1,232 | 2,248 | (758)
Other, net |  |  |  |  |  |  |  |  | 37 | (290) | (222)
Provision for (benefit from) income taxes | $ 8,013 | $ 690 | $ 1,162 | $ 2,133 | $ 3,804 | $ 3,864 | $ 4,672 | $ 10,570 | $ 11,998 | $ 22,910 | $ 120,744
Effective Income Tax Rate Reconciliation, Percent |  |  |  |  |  |  |  |  | 18.60% | 66.00% | 68.00%

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