Annual report [Section 13 and 15(d), not S-K Item 405]

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

v3.25.0.1
Stock-Based Compensation - Grants of stock options (Details) - $ / shares
shares in Thousands
12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Shares authorized 16,800    
Dividend rate 0.00% 0.00% 0.00%
Minimum | 2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Vesting period 1 year    
Term of option 7 years    
Expected term 5 years 2 months 12 days 5 years 2 months 12 days 5 years 2 months 12 days
Maximum | 2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Vesting period 5 years    
Term of option 10 years    
Expected term 5 years 7 months 6 days 5 years 7 months 6 days 5 years 7 months 6 days
Employee Stock Option | Liberty Director | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
Employee Stock Option | 2022 Omnibus Incentive Plan      
Stock-Based Compensation      
Expected volatility rate, minimum 34.60% 33.30% 33.30%
Expected volatility rate, maximum 37.30% 37.30% 37.40%
Employee Stock Option | Minimum | Liberty employees | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
Employee Stock Option | Maximum | Liberty employees | Common Class C      
Stock-Based Compensation      
Vesting period 3 years    
Formula One Group | Common Class A      
Stock-Based Compensation      
Options granted 0    
Formula One Group | Common Class B      
Stock-Based Compensation      
Options granted 0    
Formula One Group | Common Class C      
Stock-Based Compensation      
Options granted 103    
Formula One Group | Employee Stock Option | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 20 246 34
Weighted average GDFV $ 35.63 $ 25.78 $ 23.94
Formula One Group | Employee Stock Option | Subsidiary employees | Common Class C      
Stock-Based Compensation      
Options granted 83 71 86
Weighted average GDFV $ 29.77 $ 30.7 $ 21.31
Formula One Group | Employee Stock Option | Former CEO | Common Class C      
Stock-Based Compensation      
Options granted     181
Weighted average GDFV     $ 21.31
Formula One Group | Employee Stock Option | Formula 1 employees | Common Class C      
Stock-Based Compensation      
Vesting period 1 year 1 year 1 year
Formula One Group | Performance based RSUs | Former CEO | Common Class C      
Stock-Based Compensation      
Vesting period 1 year    
RSUs granted 88 81  
Restricted stock weighted average grant-date fair value $ 72.05 $ 75.12  
Liberty Live Group | Common Class A      
Stock-Based Compensation      
Options granted 0    
Liberty Live Group | Common Class B      
Stock-Based Compensation      
Options granted 0    
Liberty Live Group | Common Class C      
Stock-Based Compensation      
Options granted 76    
Liberty Live Group | Employee Stock Option | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted 6 74  
Weighted average GDFV $ 25.59 $ 13.71  
Liberty Live Group | Employee Stock Option | Former CEO | Common Class C      
Stock-Based Compensation      
Options granted 70    
Weighted average GDFV $ 16.07    
Liberty Braves Group | Employee Stock Option | Liberty employees and directors | Common Class C      
Stock-Based Compensation      
Options granted   3 10
Weighted average GDFV   $ 14.24 $ 12.4
Liberty Braves Group | Employee Stock Option | Former CEO | Common Class C      
Stock-Based Compensation      
Options granted     95
Weighted average GDFV     $ 9.16
Liberty Braves Group | Performance based RSUs | Former CEO | Common Class C      
Stock-Based Compensation      
RSUs granted   31  
Restricted stock weighted average grant-date fair value   $ 34.44