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Accounting Standards and Significant Accounting Policies (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Mar. 09, 2021
Dec. 31, 2020
New Accounting Pronouncements or Change in Accounting Principle            
Total revenues $ 459,873,000 $ 285,746,000 $ 1,158,750,000 $ 833,378,000    
Recurring revenue percentage of total revenue (percent)     79.00%      
Cash and investments 348,400,000   $ 348,400,000      
Accounts receivable, net 553,000,000   553,000,000     $ 403,700,000
Allowance for losses 10,600,000   10,600,000     9,300,000
Software licenses, royalties, and software services | TourHealth            
New Accounting Pronouncements or Change in Accounting Principle            
Total revenues 43,300,000   58,400,000      
Data and Insight            
New Accounting Pronouncements or Change in Accounting Principle            
Goodwill assessed for impairment 75,600,000   75,600,000      
Platform Technologies            
New Accounting Pronouncements or Change in Accounting Principle            
Goodwill assessed for impairment 78,300,000   78,300,000      
Unbilled Revenues            
New Accounting Pronouncements or Change in Accounting Principle            
Accounts receivable, net 147,400,000   147,400,000     140,800,000
Unbilled Revenues | Retention Receivable            
New Accounting Pronouncements or Change in Accounting Principle            
Accounts receivable, net 8,200,000   8,200,000     $ 13,100,000
Convertible Senior Notes Due 2026 | Senior Notes            
New Accounting Pronouncements or Change in Accounting Principle            
Debt instrument, interest rate, stated percentage         0.25%  
Debt instrument face amount 600,000,000   600,000,000   $ 600,000,000  
Revolving Credit Facility | 2021 Credit Agreement            
New Accounting Pronouncements or Change in Accounting Principle            
Long term debt, gross 842,500,000   842,500,000      
Revolving Credit Facility | Senior Unsecured Revolving Credit Facility            
New Accounting Pronouncements or Change in Accounting Principle            
Long term debt, gross 0   0      
Line of credit facility, unused borrowing capacity $ 500,000,000   $ 500,000,000