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Significant Business Transactions and Events - Acquisition of IFDS U.K. (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 27, 2017
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Mar. 30, 2017
Business Acquisition [Line Items]          
Acquisition of businesses, net of cash and cash equivalents acquired   $ 38.9 $ 93.5 $ 117.4  
Goodwill   $ 799.1 $ 516.4 $ 458.3  
International Financial Data Services U.K.          
Business Acquisition [Line Items]          
Cash paid $ 141.0        
Ownership percentage 50.00%        
Payments to acquire notes receivable $ 25.9        
Remeasurement loss 12.2        
Goodwill 196.7        
Goodwill, expected tax deductible amount 18.9        
IFDS Realty U.K. and IFDS Percana          
Business Acquisition [Line Items]          
Total consideration transferred 68.0        
IFDS U.K. IFDS, Percana and IFDS Realty U.K.          
Business Acquisition [Line Items]          
Cash paid 234.9        
Total consideration transferred 426.2        
Acquisition of businesses, net of cash and cash equivalents acquired 175.0        
Estimated fair value of DST's previously-held equity interests 136.8        
Goodwill $ 196.7        
International Financial Data Services L.P.          
Business Acquisition [Line Items]          
Ownership percentage 50.00% 50.00%     50.00%