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Equity - Dividends and Repurchase of Common Stock (Details) - USD ($)		3 Months Ended
	Mar. 20, 2020	Mar. 31, 2021	Mar. 31, 2020	Dec. 31, 2020	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
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
Stock repurchased under the share repurchase (in shares)		0	0
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
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		$ 400,000		$ 400,000