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Summary of Significant Accounting Policies - Narrative (Details) - USD ($)
 3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Significant Accounting Policies [Line Items]                        
Total revenues $ 279,400,000 $ 279,300,000 $ 254,200,000 $ 261,500,000 $ 238,500,000 $ 256,400,000 $ 269,900,000 $ 258,000,000.0 $ 1,074,400,000 $ 1,022,800,000 $ 1,041,300,000  
Foreign currency transaction losses                 900,000 1,400,000 1,500,000  
Restricted cash 600,000       600,000       600,000 600,000    
Acquisition costs                 $ 1,100,000 0 0  
Software useful life                 7 years      
Amortization of capitalized software                 $ 2,100,000 1,900,000 1,600,000  
Accumulated amortization of capitalized software costs 40,500,000       36,900,000       40,500,000 36,900,000    
Accumulated other comprehensive loss (649,600,000)       (597,700,000)       (649,600,000) (597,700,000) (557,900,000) $ (546,700,000)
Accumulated Other Comprehensive (Loss) Income                        
Significant Accounting Policies [Line Items]                        
Accumulated other comprehensive loss $ 111,900,000       $ 122,600,000       $ 111,900,000 122,600,000 124,500,000 89,400,000
Cumulative effects of change in accounting standards                        
Significant Accounting Policies [Line Items]                        
Accumulated other comprehensive loss                     300,000 1,700,000
Cumulative effects of change in accounting standards | Accumulated Other Comprehensive (Loss) Income                        
Significant Accounting Policies [Line Items]                        
Accumulated other comprehensive loss                     4,900,000 $ 4,900,000
Minimum | Restricted Stock                        
Significant Accounting Policies [Line Items]                        
Share based compensation vesting period (years)                 2 years      
Minimum | Restricted Stock Performance Plan                        
Significant Accounting Policies [Line Items]                        
Plan performance period (years)                 1 year      
Minimum | Customer relationships                        
Significant Accounting Policies [Line Items]                        
Estimated useful life                 10 years      
Minimum | Developed technology                        
Significant Accounting Policies [Line Items]                        
Estimated useful life                 4 years      
Maximum | Restricted Stock                        
Significant Accounting Policies [Line Items]                        
Share based compensation vesting period (years)                 4 years      
Maximum | Customer relationships                        
Significant Accounting Policies [Line Items]                        
Estimated useful life                 23 years      
Maximum | Developed technology                        
Significant Accounting Policies [Line Items]                        
Estimated useful life                 20 years      
Royalty                        
Significant Accounting Policies [Line Items]                        
Total revenues                 $ 7,500,000 $ 6,800,000 $ 5,900,000  
China                        
Significant Accounting Policies [Line Items]                        
Ownership of joint ventures (as a percent) 50.00%               50.00%