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Share-based Compensation (Share-Based Compensation Expense) (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense $ 63.4 $ 55.2
Other operating expense    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 1.2 0.7
SG&A expense    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 62.2 54.5
Liberty Global    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 56.8 52.2
Performance-based incentive awards | Liberty Global    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 24.0 27.7
Non-performance based incentive awards | Liberty Global    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 25.4 18.3
Other    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense 6.6 3.0
Other | Liberty Global    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Share-based compensation expense $ 7.4 $ 6.2