Annual report pursuant to Section 13 and 15(d)

Stock-Based Compensation - Grants of stock options (Details)

v3.24.0.1
Stock-Based Compensation - Grants of stock options (Details) - $ / shares
shares in Thousands
12 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2021
2017 Plan      
Stock-Based Compensation      
Dividend rate 0.00% 0.00% 0.00%
2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Shares authorized 21,300    
Minimum | 2017 Plan      
Stock-Based Compensation      
Expected term 5 years 3 months 18 days 5 years 3 months 18 days 5 years 3 months 18 days
Minimum | 2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Vesting period 1 year    
Term of option 7 years    
Maximum | 2017 Plan      
Stock-Based Compensation      
Expected term 5 years 7 months 6 days 5 years 7 months 6 days 5 years 7 months 6 days
Maximum | 2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Vesting period 5 years    
Term of option 10 years    
Employee Stock Option [Member] | Liberty Director | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
Employee Stock Option [Member] | 2017 Plan      
Stock-Based Compensation      
Expected volatility rate, minimum 25.50% 25.50% 30.90%
Expected volatility rate, maximum 37.30% 37.40% 37.40%
Employee Stock Option [Member] | Minimum | Liberty employees | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
Employee Stock Option [Member] | Maximum | Liberty employees | Common Class C      
Stock-Based Compensation      
Vesting period 3 years    
Performance based RSUs | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
Liberty SiriusXM Group | Common Class C      
Stock-Based Compensation      
Options granted 389    
Liberty SiriusXM Group | Employee Stock Option [Member] | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 19 42 66
Weighted average GDFV $ 8.98 $ 13.31 $ 14.54
Liberty SiriusXM Group | Employee Stock Option [Member] | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
Options granted 370 212 257
Weighted average GDFV $ 10.34 $ 14.45 $ 13.73
Formula One Group | Common Class C      
Stock-Based Compensation      
Options granted 317    
Formula One Group | Employee Stock Option [Member] | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 246 34 55
Weighted average GDFV $ 25.78 $ 23.94 $ 18.79
Formula One Group | Employee Stock Option [Member] | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
Options granted   181  
Weighted average GDFV   $ 21.31  
Formula One Group | Employee Stock Option [Member] | Formula 1 employees | Common Class C      
Stock-Based Compensation      
Vesting period 1 year 1 year 1 year
Options granted 71 86 718
Weighted average GDFV $ 30.70 $ 21.31 $ 15.96
Formula One Group | Performance based RSUs | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
RSUs granted 81   65
Restricted stock weighted average grant-date fair value $ 75.12   $ 45.88
Liberty Live Group | Common Class C      
Stock-Based Compensation      
Options granted 74    
Liberty Live Group | Employee Stock Option [Member] | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 74    
Weighted average GDFV $ 13.71    
Braves Group | Common Class C      
Stock-Based Compensation      
Options granted 3    
Braves Group | Employee Stock Option [Member] | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 3 10 23
Weighted average GDFV $ 14.24 $ 12.40 $ 9.93
Braves Group | Employee Stock Option [Member] | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
Options granted   95  
Weighted average GDFV   $ 9.16  
Braves Group | Performance based RSUs | Chief Executive Officer | Common Class C      
Stock-Based Compensation      
RSUs granted 31   31
Restricted stock weighted average grant-date fair value $ 34.44   $ 31.24