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Income Taxes - Income from Continuing Operations Before Income Taxes by Source of Income (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Income Tax Disclosure [Abstract]      
United States $ 292,770 $ 234,926 $ 119,543
Non-United States 137,686 129,939 443,981
Income from Continuing Operations Before Income Taxes $ 430,456 $ 364,865 $ 563,524