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Income Taxes - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Tax Credit Carryforward [Line Items]      
Tax expense related to the finalization of court case   $ 28.0  
Valuation allowance on deferred tax assets $ 134.0 81.0  
Deferred tax liability for undistributed foreign earnings 11.5    
Uncertain tax positions that would reduce annual effective tax rate, if recognized 111.0 68.0  
Potential interest penalties on uncertain tax positions 1.0 (1.0) $ (3.0)
Liability recorded for potential interest and penalties 7.0 6.0  
Tax Year 2017      
Tax Credit Carryforward [Line Items]      
Undistributed earnings of foreign subsidiaries 1,067.0    
State      
Tax Credit Carryforward [Line Items]      
Net operating loss carryforwards 1,290.0    
Tax credit carryforwards 165.0    
IRS | Federal      
Tax Credit Carryforward [Line Items]      
Net operating loss carryforwards 1,873.0    
Tax credit carryforwards 50.0    
Singapore | Foreign      
Tax Credit Carryforward [Line Items]      
Decrease to the provision for income taxes $ 82.0 $ 30.0 $ 33.0
Increase to net income per diluted share (in dollars per share) $ 0.55 $ 0.20 $ 0.22
Goodwill      
Tax Credit Carryforward [Line Items]      
Valuation allowance on deferred tax assets $ 20.0