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Business and Significant Accounting Policies (Details)
$ / shares in Units, enterprise in Thousands
3 Months Ended 12 Months Ended
Sep. 30, 2017
USD ($)
Dec. 31, 2017
USD ($)
segment
country
acquisition
enterprise
$ / shares
Dec. 31, 2016
USD ($)
$ / shares
Dec. 31, 2015
USD ($)
$ / shares
Dec. 31, 2014
USD ($)
Business and Significant Accounting Policies [Line Items]          
Number of enterprises served | enterprise   12      
Number of countries in which entity operates | country   100      
Number of reportable segments | segment   4      
Number of businesses acquired | acquisition   2      
Acquisition and integration charges   $ 158,450,000 $ 42,598,000 $ 26,175,000  
Unbilled fees receivable   66,200,000 45,700,000    
Stock-based compensation expense   78,943,000 46,661,000 46,149,000  
(Benefit) provision for income taxes   $ (131,096,000) $ 94,849,000 $ 96,576,000  
Basic (in Dollars per share) | $ / shares   $ 0.04 $ 2.34 $ 2.09  
Diluted (in Dollars per share) | $ / shares   $ 0.04 $ 2.31 $ 2.06  
Excess tax benefits from share-based compensation, operating activities   $ 0 $ 0 $ 13,860,000  
Excess tax benefit from share-based compensation, financing activities   0 0 13,860,000  
Adoption of ASU No. 2016-09       (261,000)  
Cash and cash equivalents   538,908,000 474,233,000    
Cash and cash equivalents including discontinued operations   548,900,000 474,233,000 372,976,000 $ 365,302,000
Rent expense   87,900,000 38,000,000 33,800,000  
Depreciation expense   63,897,000 37,172,000 33,789,000  
Net capitalized development costs for internal use software   26,900,000 16,600,000    
Amortization of capitalized internal software development costs   9,900,000 8,800,000 8,200,000  
Amortization of intangibles   176,274,000 24,797,000 13,342,000  
Goodwill, impairment loss $ 0        
Pension expense   3,500,000 3,500,000 3,500,000  
Long-term debt, gross   3,323,062,000 702,500,000    
Foreign currency transaction gain (loss)   (5,500,000) (400,000) (2,600,000)  
Derivative instruments, gain (loss) recognized in income, net   7,100,000 7,900,000 8,600,000  
Payments for purchases of treasury stock   41,272,000 58,961,000 509,049,000  
Connecticut Economic Development Program          
Business and Significant Accounting Policies [Line Items]          
Long-term debt, gross   2,500,000 2,500,000    
Principal amount outstanding   2,500,000      
Foreign currency exchange contracts          
Business and Significant Accounting Policies [Line Items]          
Derivative instruments, gain (loss) recognized in income, net   $ 800,000 (300,000) (100,000)  
Customer Relationships | Minimum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   4 years      
Customer Relationships | Maximum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   13 years      
Software | Minimum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   3 years      
Software | Maximum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   7 years      
Content | Minimum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   1 year 6 months      
Content | Maximum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   5 years      
Non-Compete | Minimum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   2 years      
Non-Compete | Maximum          
Business and Significant Accounting Policies [Line Items]          
Remaining amortization period   5 years      
Accumulated Earnings          
Business and Significant Accounting Policies [Line Items]          
Adoption of ASU No. 2016-09       (261,000)  
Accounting Standards Update 2016-09          
Business and Significant Accounting Policies [Line Items]          
Excess tax benefit from share-based compensation, financing activities     $ 13,900,000    
Accounting Standards Update 2016-09 | Pro Forma          
Business and Significant Accounting Policies [Line Items]          
(Benefit) provision for income taxes       $ (13,900,000)  
Basic (in Dollars per share) | $ / shares       $ 0.17  
Diluted (in Dollars per share) | $ / shares       $ 0.16  
Excess tax benefits from share-based compensation, operating activities       $ 13,900,000  
Accounting Standards Update 2016-09 | Pro Forma | Accumulated Earnings          
Business and Significant Accounting Policies [Line Items]          
Adoption of ASU No. 2016-09       $ (300,000)