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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Income Tax Contingency [Line Items]        
Recognition of previously unrecognized tax benefits $ 63.7 $ 25.4 $ 0.0  
Cost sharing adjustment- Altera 20.1 0.0 0.0  
Lapses in federal statutes of limitations 0.0 7.5 67.6  
Impact of the U.S. Tax Cuts and Jobs Act 0.0 0.0 2.8  
Valuation allowance 261.5 249.4    
Increase (decrease) in DTA valuation allowance 12.1 15.7    
Undistributed earnings of foreign subsidiaries   60.2    
Additional income tax expense related to undistributed earnings 12.0      
Unrecognized tax benefits 116.0 151.3 178.1 $ 264.5
Unrecognized tax benefits that would impact effective tax rate 92.8      
Unrecognized tax benefits, penalties and interest 20.7 2.8 5.2  
Reductions in unrecognized tax benefits 52.0 3.3 33.8  
Minimum        
Income Tax Contingency [Line Items]        
Reductions in unrecognized tax benefits 10.6      
Other long-term liabilities        
Income Tax Contingency [Line Items]        
Interest and penalties accrued related to unrecognized tax benefits 5.3 $ 29.9 $ 33.8  
Federal        
Income Tax Contingency [Line Items]        
Net operating loss carry-forwards 172.9      
Tax credit carry-forwards 6.3      
Release of unrecognized tax benefits 9.0      
Foreign Tax Authority | Ministry of Finance, India        
Income Tax Contingency [Line Items]        
Unrecognized tax benefits, penalties and interest (18.4)      
Release of unrecognized tax benefits 58.8      
California Deferred Tax Assets        
Income Tax Contingency [Line Items]        
Valuation allowance 225.2      
California Deferred Tax Assets | State and Local Jurisdiction        
Income Tax Contingency [Line Items]        
Net operating loss carry-forwards 134.0      
Tax credit carry-forwards 266.0      
Massachusetts Deferred Tax Assets        
Income Tax Contingency [Line Items]        
Valuation allowance 28.6      
Canadian Deferred Tax Assets        
Income Tax Contingency [Line Items]        
Valuation allowance 3.4      
Capital Loss Carryforward        
Income Tax Contingency [Line Items]        
Valuation allowance $ 1.6