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Common Stock (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Common Stock:      
Purchase of treasury stock, value $ 1,213 $ 3,215 $ 10,277
Remaining value of Class A common stock shares authorized to be repurchased $ 961    
Roll Forward of Common Shares:      
Exercise of stock options 373,000 563,000 552,000
Purchase of treasury stock (4,034,569) (8,358,134) (21,240,774)
Share buybacks      
Common Stock:      
Purchase of treasury stock, value $ 1,157 $ 3,127 $ 10,095
Roll Forward of Common Shares:      
Purchase of treasury stock (3,709,465) (7,879,962) (20,628,464)
Share buybacks | Liberty Broadband      
Common Stock:      
Purchase of treasury stock, value $ 335 $ 394 $ 3,034
Roll Forward of Common Shares:      
Purchase of treasury stock (980,558) (950,721) (6,168,174)
Income tax withholding      
Common Stock:      
Purchase of treasury stock, value $ 56 $ 88 $ 182
Roll Forward of Common Shares:      
Purchase of treasury stock (157,480) (220,281) (310,391)
Exercise cost      
Roll Forward of Common Shares:      
Purchase of treasury stock (167,624) (257,891) (301,919)
Class A Common Stock      
Roll Forward of Common Shares:      
Shares outstanding, beginning of period (in shares) 145,225,458 152,651,396 172,741,236
Exercise of stock options 373,278 563,297 552,442
Restricted stock issuances, net of cancellations 13,353 10,609 6,845
Restricted stock unit vesting 368,906 358,290 591,647
Purchase of treasury stock (4,034,569) (8,358,134) (21,240,774)
Shares outstanding, end of period (in shares) 141,946,426 145,225,458 152,651,396
Class B Common Stock      
Roll Forward of Common Shares:      
Shares outstanding, beginning of period (in shares) 1 1 1
Exercise of stock options 0 0 0
Restricted stock issuances, net of cancellations 0 0 0
Restricted stock unit vesting 0 0 0
Purchase of treasury stock 0 0 0
Shares outstanding, end of period (in shares) 1 1 1