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Income Taxes - Income (loss) from continuing operations before income taxes by source of income (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Income Tax Disclosure [Abstract]      
United States $ 391,460 $ 142,507 $ (147,735)
Non-United States 459,684 113,131 14,883
Income (Loss) Before Income Taxes $ 851,144 $ 255,638 $ (132,852)