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Accumulated Other Comprehensive Loss - Reclassifications (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Cost of sales $ 971,309 $ 1,084,621 $ 4,012,542 $ 4,149,541 $ 4,524,461
Selling, general and administrative expenses 441,642 512,162 1,701,563 1,853,971 1,560,034
Interest expense, net 49,665 35,307 157,073 163,067 164,238
Other expenses 3,646 47,359 9,734 53,586 20,655
Income tax expense (benefit) (425,132) (4,946) (483,907) (60,107) 109,940
Income (loss) from discontinued operations, net of tax 0 (7,921) 3,965 (443,744) (43,292)
Net income (loss) $ (418,108) $ 60,033 (127,204) 77,224 (75,579)
Reclassification out of Accumulated Other Comprehensive Income          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Net income (loss)     (25,997) (44,386) (5,674)
Reclassification out of Accumulated Other Comprehensive Income | Amortization of deferred actuarial loss and prior service cost          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Other expenses     (20,809) (25,671) (22,261)
Income tax expense (benefit)     52 6,461 5,753
Income (loss) from discontinued operations, net of tax     0 560 (698)
Net income (loss)     (21,217) (18,650) (17,206)
Reclassification out of Accumulated Other Comprehensive Income | Cumulative Translation Adjustment          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Income (loss) from discontinued operations, net of tax     13,473 0 0
Reclassification out of Accumulated Other Comprehensive Income | Pension Activity Associated with Sale of Business          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Income (loss) from discontinued operations, net of tax     (460) 0 0
Forward foreign exchange contract | Reclassification out of Accumulated Other Comprehensive Income | Gain (loss) on derivative instruments designated as cash flow hedges          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Cost of sales     11,336 (15,301) 10,069
Income tax expense (benefit)     (3,401) 4,105 (2,851)
Income (loss) from discontinued operations, net of tax     (232) (2,890) 4,314
Net income (loss)     7,703 (14,086) 11,532
Cross-currency swap contract | Reclassification out of Accumulated Other Comprehensive Income | Gain (loss) on derivative instruments designated as cash flow hedges          
Reclassification out of Accumulated Other Comprehensive Income [Line Items]          
Selling, general and administrative expenses     (20,016) (12,155) 0
Interest expense, net     (5,940) (3,556) 0
Income tax expense (benefit)     0 4,061 0
Net income (loss)     $ (25,956) $ (11,650) $ 0