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Description of the Business and Summary of Significant Accounting Policies - Aggregate Business Acquisitions Completed (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Nov. 01, 2018
Jan. 23, 2018
Jan. 05, 2018
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Dec. 31, 2017
Preliminary Purchase Price Allocation Summary                
Goodwill       $ 3,308.2   $ 3,308.2   $ 2,956.1
Intangible assets acquired, royalty rate           0.50%    
Minimum                
Preliminary Purchase Price Allocation Summary                
Intangible assets acquired, discount rate           10.00%    
Maximum                
Preliminary Purchase Price Allocation Summary                
Intangible assets acquired, discount rate           14.00%    
NYX                
Business Acquisition [Line Items]                
Payments to acquire business     $ 665.8          
Fair value of shares acquired     91.9          
Fair value of non-controlling equity interest     90.4          
Acquisition related costs           $ 7.7    
Preliminary Purchase Price Allocation Summary                
Cash, cash equivalents and restricted cash     23.3          
Accounts receivables and other current assets     55.2          
Property and equipment and other non-current assets     22.1          
Goodwill     376.4          
Intangible assets     350.0          
Total assets     827.0          
Current liabilities     82.0          
Deferred income taxes     66.3          
Assumed debt and other liabilities     299.7          
Total liabilities     448.0          
Total consideration transferred     379.0          
Receivables acquired     43.0          
Contract assets acquired     12.9          
Assumed contract liabilities     15.7          
Unaudited Pro Forma Financial Information                
Revenue since acquisition       46.5   146.3    
Earnings since acquisition       10.9   26.4    
Revenue       821.0 $ 814.5 2,477.5 $ 2,393.8  
Net loss       $ 351.6 $ 76.1 $ 551.5 $ 244.8  
Tech Art                
Unaudited Pro Forma Financial Information                
Total Consideration   $ 9.6            
Tech Art | Intellectual property                
Details of Total Intangible Assets                
Weighted Average Useful Life (Years)   15 years            
Level 3 | NYX | Customer relationships                
Details of Total Intangible Assets                
Fair Value     214.0          
Level 3 | NYX | Intellectual property                
Details of Total Intangible Assets                
Fair Value     $ 126.5          
Weighted Average Useful Life (Years)     7 years          
Level 3 | NYX | Brand names                
Details of Total Intangible Assets                
Fair Value     $ 9.5          
Weighted Average Useful Life (Years)     7 years          
Level 3 | NYX | Minimum | Customer relationships                
Details of Total Intangible Assets                
Weighted Average Useful Life (Years)     7 years          
Level 3 | NYX | Maximum | Customer relationships                
Details of Total Intangible Assets                
Weighted Average Useful Life (Years)     10 years          
Subsequent Event | Don Best                
Business Acquisition [Line Items]                
Payments to acquire business $ 26.5