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Income taxes - Current and Deferred Tax Provisions (Benefits) (Detail) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Disclosure Income Taxes Current And Deferred Tax Provisions Benefits [Abstract]          
Current, domestic     $ 15,188 $ (15,176) $ (7,770)
Current, foreign     83,607 66,844 46,701
Current, state     (2,712) (2,948) 6,256
Current, Total     96,083 48,720 45,187
Deferred, domestic     201,112 6,934 (136,221)
Deferred, foreign     95,558 1,421 34,066
Deferred, state     91,154 3,032 (52,972)
Deferred, Total     387,824 11,387 (155,127)
Total, domestic     216,300 (8,242) (143,991)
Total, foreign     179,165 68,265 80,767
Total, state     88,442 84 (46,716)
Total, Current and Deferred tax provisions (benefits) $ 425,132 $ 4,946 $ 483,907 $ 60,107 $ (109,940)