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Acquisition of KCG Holdings, Inc. (Details) - USD ($)
$ / shares in Units, $ in Millions
Aug. 10, 2017
Jul. 21, 2017
Jul. 20, 2017
Mar. 31, 2018
Dec. 31, 2017
Temasek Investment          
Business Acquisition [Line Items]          
Other offering costs $ 7.8        
Senior Secured Notes Due 2020          
Business Acquisition [Line Items]          
Interest rate (as a percent)   6.875%      
Redemption price as a percentage of the principal amount   103.438%      
Face amount   $ 465.0      
Class A          
Business Acquisition [Line Items]          
Common stock, par value (in dollars per share)       $ 0.00001 $ 0.00001
Class A | NIH Investment Agreement          
Business Acquisition [Line Items]          
Number of shares of stock issued 338,124        
Aggregate purchase price $ 5.2        
KCG          
Business Acquisition [Line Items]          
Common stock, par value (in dollars per share)     $ 0.01    
Right to receive cash (in dollars per share)     $ 20.00    
Cash purchase price     $ 1,400.0    
Fair value ( in dollars per share)     $ 20.00    
KCG | NIH Investment Agreement          
Business Acquisition [Line Items]          
Number of shares of stock issued     39,725,979    
Aggregate purchase price     $ 613.5    
KCG | Class A | Aranda          
Business Acquisition [Line Items]          
Number of shares of stock issued     6,346,155    
Aggregate purchase price     $ 99.0    
KCG | Class A | Temasek Investment          
Business Acquisition [Line Items]          
Number of shares of stock issued 1,666,666        
Aggregate purchase price $ 26.0        
KCG | Class A | NIH Investment Agreement          
Business Acquisition [Line Items]          
Number of shares of stock issued 338,124        
Aggregate purchase price $ 5.2