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Business Combinations (Details) - USD ($)
$ in Thousands
Apr. 01, 2020
Jun. 30, 2020
Dec. 31, 2019
Business Acquisition [Line Items]      
Goodwill   $ 415,536 $ 63,924
Systems and Services      
Business Acquisition [Line Items]      
Goodwill   307,538 0
Clear Aligner      
Business Acquisition [Line Items]      
Goodwill   $ 107,998 $ 63,924
exocad Acquisition      
Business Acquisition [Line Items]      
Cash paid to exocad stockholders $ 412,287    
Cash paid to settle exocad's bank debt 17,691    
Total purchase consideration paid 429,978    
Goodwill 344,238    
Identified intangible assets 118,700    
Cash and cash equivalents 9,190    
Deferred tax liabilities (35,419)    
Other assets (liabilities), net (6,731)    
Total 429,978    
Intangible assets subject to amortization 118,700    
Total intangible assets 118,700    
exocad Acquisition | In Process Research and Development      
Business Acquisition [Line Items]      
Intangible assets not subject to amortization 400    
exocad Acquisition | Existing technology      
Business Acquisition [Line Items]      
Identified intangible assets $ 87,000    
Weighted average amortization period 10 years    
Intangible assets subject to amortization $ 87,000    
exocad Acquisition | Customer relationships      
Business Acquisition [Line Items]      
Identified intangible assets $ 21,500    
Weighted average amortization period 10 years    
Intangible assets subject to amortization $ 21,500    
exocad Acquisition | Trade Names      
Business Acquisition [Line Items]      
Identified intangible assets $ 9,800    
Weighted average amortization period 7 years    
Intangible assets subject to amortization $ 9,800    
exocad Acquisition | Systems and Services      
Business Acquisition [Line Items]      
Goodwill 300,700    
exocad Acquisition | Clear Aligner      
Business Acquisition [Line Items]      
Goodwill $ 43,500