Equity (Details) € / shares in Units, $ / shares in Units, € in Millions, $ in Millions		1 Months Ended	3 Months Ended	4 Months Ended		9 Months Ended	10 Months Ended	12 Months Ended
	May 05, 2023 € / shares	Jan. 31, 2024 USD ($)	Sep. 21, 2023 shares	Sep. 30, 2023 USD ($)	Sep. 30, 2023 EUR (€)	Sep. 30, 2023 USD ($) $ / shares shares	Oct. 30, 2023 USD ($)	Dec. 31, 2022	Oct. 31, 2023	Oct. 19, 2023	Sep. 30, 2023 EUR (€)	Jul. 08, 2023 shares	Jun. 08, 2023 € / shares
Class of Stock [Line Items]
Percent of total number of shares outstanding				13.00%		13.00%					13.00%
Share repurchase program, minimum repurchase requirement, percentage								10.00%
Subsidiaries | Telenet
Class of Stock [Line Items]
Dividends paid (in euro per share) | € / shares	€ 1
Telenet | Subsidiaries | Liberty Global Belgium Holding B.V.
Class of Stock [Line Items]
Share price (in euro per share) | € / shares													€ 22
Share price (in euro per share) | € / shares													€ 21
Number of common shares acquired (in shares)			38,210,285
Business acquisition, equity interest (in shares)												380,691
Interest acquired			96.26%
Contingent consideration liability				$ 101.6		$ 101.6					€ 96.1
Consideration transferred				$ 891.3	€ 807.6
Forecast
Class of Stock [Line Items]
Aggregate purchase price | $		$ 300.0
Subsequent Event
Class of Stock [Line Items]
Aggregate purchase price | $							$ 1,315.4
Share repurchase program, minimum repurchase requirement, percentage							15.00%
Subsequent Event | Telenet | Subsidiaries | Liberty Global Belgium Holding B.V.
Class of Stock [Line Items]
Interest acquired									100.00%	100.00%
Class A
Class of Stock [Line Items]
Stock repurchased (in shares)						1,444,000
Average price paid per share (in dollars per share) | $ / shares						$ 18.24
Class C
Class of Stock [Line Items]
Stock repurchased (in shares)						58,057,884
Average price paid per share (in dollars per share) | $ / shares						$ 19.34
Aggregate purchase price | $						$ 1,149.2