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Income Taxes - Additional Information (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
Dec. 28, 2019
Additional Income Tax Information [Line Items]            
Income (loss) from continuing operations before income tax expense $ 7,024 $ 72,900 $ 352,738 $ 581,075 $ (142,227)  
Income tax expense (benefit) (425,132) (4,946) (483,907) (60,107) 109,940  
Valuation allowance for deferred tax assets 626,540 306,221 626,540 306,221 204,854 $ 188,554
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     320,319      
Unremitted foreign earnings not permanently reinvested 269,019   269,019      
Accrued income taxes with respect to foreign earnings the Company intends to remit in the future 26,128   26,128      
Recognized reduction related to realization of unrecognized tax benefit resulting from prior year tax positions     311 12,599 18,385  
Recognized benefit related to realization of unrecognized tax benefit resulting from expiration of statutes of limitations     7,191 147 16,655  
Reduction in amount of unrecognized tax benefits that is reasonably possible due to expirations in statutes of limitations 3,267   $ 3,267      
Period of unrecognized tax benefits reduction that is reasonably possible due to expirations in statutes of limitations     12 months      
Unrecognized tax benefits, which would, if recognized, affect the annual effective tax rate 28,444   $ 28,444      
Interest and penalties classified as income tax expense (benefit) in the Consolidated Statement of Income     81 933 (5,206)  
Interest and penalties accrued related to unrecognized tax benefits 6,303 $ 5,865 6,303 5,865    
Charged to other accounts            
Additional Income Tax Information [Line Items]            
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     (36,421) 97,024 1,341  
Foreign Tax Authority            
Additional Income Tax Information [Line Items]            
Net operating loss carryforwards, approximately, for foreign jurisdictions 1,912,611   1,912,611      
Foreign Tax Authority | Operating loss carryforward            
Additional Income Tax Information [Line Items]            
Valuation allowance for deferred tax assets 306,743   306,743      
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     24,172      
Foreign Tax Authority | Other foreign deferred tax assets            
Additional Income Tax Information [Line Items]            
Valuation allowance for deferred tax assets 21,232   21,232      
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     9,166      
Federal            
Additional Income Tax Information [Line Items]            
Tax credit carryforwards 10,859   10,859      
Federal interest carryforwards 209,536   209,536      
Net operating loss carryforwards 173,305   173,305      
State            
Additional Income Tax Information [Line Items]            
State interest carryforwards 151,718   151,718      
Net operating loss carryforwards 1,018,011   1,018,011      
Federal and State | Operating loss carryforward            
Additional Income Tax Information [Line Items]            
Valuation allowance for deferred tax assets 63,619   63,619      
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     52,035      
Federal and State | Other Federal and State Deferred Tax Assets [Member]            
Additional Income Tax Information [Line Items]            
Valuation allowance for deferred tax assets 234,946   234,946      
Net increase (decrease) in the total valuation allowance, including foreign currency fluctuations     234,946      
Switzerland and Luxembourg            
Additional Income Tax Information [Line Items]            
Net operating loss carryforwards, approximately, for foreign jurisdictions $ 696,028   $ 696,028      
One-time provisional transition | Tax Cuts and Jobs Act            
Additional Income Tax Information [Line Items]            
Income tax expense (benefit)       $ (4,668) (38,315)  
Recapture of statutory impairment net operating losses            
Additional Income Tax Information [Line Items]            
Income tax expense (benefit)         $ (49,082)