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Income Taxes Income Before Income taxes (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Jan. 01, 2023
Oct. 02, 2022
Jul. 03, 2022
Apr. 03, 2022
Jan. 02, 2022
Oct. 03, 2021
Jul. 04, 2021
Apr. 04, 2021
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Income Tax Contingency [Line Items]                      
U.S.                 $ 326,438 $ 547,705 $ 210,130
Non-U.S.                 325,399 655,877 589,942
Income from continuing operations before income taxes $ 138,447 $ 82,142 $ 206,344 $ 224,904 $ 299,704 $ 135,012 $ 301,329 $ 467,537 651,837 1,203,582  
Income from continuing operations before income taxes                 $ 651,837 $ 1,203,582 $ 800,072