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Intangible Assets and Goodwill (Details 3) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Purchased patents      
Amortization of intangible assets $ 17,058 $ 29,341 $ 41,962
Estimated future amortization expense of intangible assets      
Next Twelve Months 18,413    
Year Two 14,411    
Year Three 7,444    
Year Four 6,740    
Year Five 5,292    
Thereafter 0    
Finite-lived intangible assets 52,300    
Indefinite-lived Intangible Assets (Excluding Goodwill) 2,600    
Intangible Assets, Net (Excluding Goodwill) 54,900 59,936  
Customer contracts and contractual relationships      
Estimated future amortization expense of intangible assets      
Finite-lived intangible assets 2,865 13,257  
Existing technology      
Estimated future amortization expense of intangible assets      
Finite-lived intangible assets $ 49,435 $ 45,079  
Non-competition agreements      
Identified intangible assets assumed in the acquisitions      
Useful life (in years) 3 years 3 years  
Estimated future amortization expense of intangible assets      
Finite-lived intangible assets $ 0 $ 0  
Minimum      
Identified intangible assets assumed in the acquisitions      
Useful life (in years) 6 months 1 year  
Minimum | Customer contracts and contractual relationships      
Identified intangible assets assumed in the acquisitions      
Useful life (in years) 6 months 1 year  
Minimum | Existing technology      
Identified intangible assets assumed in the acquisitions      
Useful life (in years) 3 years 3 years