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Subsequent Events (Detail) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Aug. 03, 2021
Jul. 30, 2021
Jun. 30, 2021
Jun. 30, 2020
Jun. 30, 2021
Jun. 30, 2020
Subsequent Event [Line Items]            
Dividends declared per share of common stock (in dollars per share)     $ 0.01 $ 0.01 $ 0.02 $ 0.15
Subsequent Event            
Subsequent Event [Line Items]            
Stock or units repurchase program, authorized amount $ 400.0          
Subsequent Event | Cantor Futures Exchange Business            
Subsequent Event [Line Items]            
Payments to acquire businesses   $ 4.9        
Class A Common Stock | Subsequent Event            
Subsequent Event [Line Items]            
Dividends declared per share of common stock (in dollars per share) $ 0.01          
Class B Common Stock | Subsequent Event            
Subsequent Event [Line Items]            
Dividends declared per share of common stock (in dollars per share) $ 0.01