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Income Taxes - Schedule of Domestic and Foreign Components of Income (Loss) Before Income Taxes (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2021
Oct. 03, 2020
Sep. 28, 2019
Income Tax Disclosure [Abstract]      
U.S. [1] $ (33,409) $ (69,102) $ (42,806)
Foreign [1] 193,820 204,499 168,761
Income before income taxes $ 160,411 $ 135,397 $ 125,955
[1] The U.S. and Foreign components of income (loss) before income tax expense include the elimination of intercompany foreign dividends paid to the Company's U.S. operations.