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INCOME TAXES (Effective income tax rate reconciliation) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 28, 2024 | Sep. 30, 2023 | Oct. 01, 2022
Income Tax Disclosure [Abstract] |  |  |
Expected income tax provision based on the U.S. federal statutory tax rate | $ (12,255) | $ 15,162 | $ 100,212
Effect of earnings of foreign subsidiaries subject to different tax rates | (3,619) | (8,448) | (17,936)
Benefit from tax incentives | 980 | (11,198) | (50,113)
Benefit from research and development tax credits | (4,132) | (4,038) | (2,995)
Benefit from foreign tax credits | (1,505) | (7,834) | (26,021)
Valuation allowance | 18,543 | 3,127 | (5,830)
Foreign operations (Deemed income, taxes on undistributed foreign earnings, and withholding taxes) | 7,268 | 24,450 | 45,421
Non-deductible items(1) | 3,622 | 1,900 | 267
Goodwill impairment | 0 | 2,517 | 0
Other, net | 1,749 | (585) | 438
Provision for income taxes | $ 10,651 | $ 15,053 | $ 43,443
Effective tax rate | (18.30%) | 20.80% | 9.10%

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