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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
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Income Tax Disclosure [Abstract]      
United States $ (291,436) $ 418,902 $ 326,277
Non-U.S. (356,283) 137,270 145,599
(Loss) Income Before Income Taxes $ (647,719) $ 556,172 $ 471,876