Subsequent Events (Detail) - USD ($)					3 Months Ended		6 Months Ended
	Aug. 01, 2023	Jul. 11, 2023	Jul. 10, 2023	Jul. 01, 2023	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022	May 25, 2023	Dec. 31, 2022	Jul. 24, 2018
Subsequent Event [Line Items]
Dividends declared per share of common stock (in dollars per share)					$ 0.01	$ 0.01	$ 0.02	$ 0.02
Restricted Stock Units
Subsequent Event [Line Items]
Share-based payment arrangement, decrease for tax withholding obligation					$ 49,200,000
Aggregate estimated grant date fair value							$ 16,267,000
Corporate conversion, exchange ratio (in shares)					1		1
Class A Common Stock
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)					$ 0.01		$ 0.01			$ 0.01
Common stock, issued during the period (in shares)					166,280		179,583
Common stock, shares authorized (in shares)					750,000,000		750,000,000			750,000,000
Class B Common Stock
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)					$ 0.01		$ 0.01			$ 0.01
Common stock, issued during the period (in shares)					0	0	0	0
Common stock, shares authorized (in shares)					150,000,000		150,000,000			150,000,000
5.375% Senior Notes due July 24, 2023
Subsequent Event [Line Items]
Stated interest rate					5.375%		5.375%				5.375%
Principal amount of debt component					$ 449,900,000		$ 449,900,000				$ 450,000,000
8.000% Senior Notes due May 25, 2028
Subsequent Event [Line Items]
Stated interest rate					8.00%		8.00%		8.00%
Principal amount of debt component									$ 350,000,000
Subsequent event
Subsequent Event [Line Items]
Dividends declared per share of common stock (in dollars per share)	$ 0.01
Minimum number of shares required to be issued (in shares)				75,000,000
Period for minimum number of shares to be issued				7 years
Conversion of stock, shares converted (in shares)				64,000,000
Subsequent event | Stock Purchased On 6/30/2023
Subsequent Event [Line Items]
Conversion of stock, shares converted (in shares)				5,700,000
Subsequent event | The Company Equity Securities
Subsequent Event [Line Items]
Shares authorized to be repurchased (in shares)				400,000,000
Subsequent event | The Company Debt Securities
Subsequent Event [Line Items]
Shares authorized to be repurchased (in shares)				50,000,000
Subsequent event | Restricted Stock Units
Subsequent Event [Line Items]
Share-based payment arrangement, decrease for tax withholding obligation				$ 123,100,000
Aggregate estimated grant date fair value		$ 3,986,600
Shares granted in period (in shares)				25,300,000
Subsequent event | Restricted Stock Units | Mr. Windeatt
Subsequent Event [Line Items]
Vested in period (in shares)			720,509
Share-based payment arrangement, decrease for tax withholding obligation			$ 780,333
Subsequent event | Restricted Shares | Maximum
Subsequent Event [Line Items]
Shares granted in period (in shares)				38,600,000
Subsequent event | Class A Common Stock
Subsequent Event [Line Items]
Share price (in dollars per share)			$ 4.45
Shares granted in period (in shares)				600,000,000
Common stock, shares authorized (in shares)				1,500,000,000
Subsequent event | Class A Common Stock | BGC Parnters
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)				$ 0.01
Subsequent event | Class A Common Stock | BGC Group
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)				$ 0.01
Corporate conversion, exchange ratio (in shares)				1
Subsequent event | Class B Common Stock
Subsequent Event [Line Items]
Common stock, issued during the period (in shares)				64,000,000
Common stock, shares authorized (in shares)				300,000,000
Subsequent event | Class B Common Stock | BGC Parnters
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)				$ 0.01
Subsequent event | Class B Common Stock | BGC Group
Subsequent Event [Line Items]
Common stock, par value (in dollars per share)				$ 0.01
Corporate conversion, exchange ratio (in shares)				1