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Equity - Dividends and Repurchase of Common Stock (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2019
Jan. 22, 2019
Sep. 10, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock, dividends, per share, declared (in dollars per share)   $ 0.05 $ 0.05 $ 0.15      
Shares of Class A Common Stock              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Stock repurchase program, authorized amount           $ 100,000,000.0 $ 100,000,000.0
Shares of Class A Common Stock | Common Stock              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock, dividends, per share, declared (in dollars per share)     $ 0.05        
Dividends, common stock, cash $ 4,100,000            
Treasury stock, shares, retired (in shares)     0 1,303,003      
Treasury stock, retired, amount       $ 18,400,000      
Remaining authorized repurchase amount $ 98,700,000   $ 98,700,000   $ 98,700,000    
Treasury stock acquired, average cost per share (in dollars per share)       $ 14.66      
Liberty LLC              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Common stock, dividends, per share, declared (in dollars per share) $ 0.05            
Liberty LLC | LLC Units              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Dividends, common stock, cash $ 5,600,000            
Treasury stock, shares, retired (in shares)       1,303,003      
Treasury stock, retired, amount       $ 18,400,000      
Restricted Stock and Restricted Stock Units (RSUs) | Shares of Class A Common Stock              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Dividends payable $ 200,000   $ 200,000        
Riverstone | Affiliated Entity | Shares of Class A Common Stock | Common Stock              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Treasury stock, shares, retired (in shares)       117,647