Capital Structure - Additional Information (Details)	6 Months Ended		12 Months Ended
	Jun. 30, 2024 vote class shares	Jun. 30, 2023 shares	Dec. 31, 2023 shares
Class of Stock [Line Items]
Number of classes of common stock | class	4
Non-voting common interest units outstanding (in shares) | shares	4,040,772		4,040,772
Number of non-voting common interest units forfeited or repurchased (in shares) | shares	0	173,535	173,535
Virtu Financial
Class of Stock [Line Items]
Ownership interest	57.40%
Class A common stock and Class C common stock
Class of Stock [Line Items]
Number of votes | vote	1
Class B common stock and Class D common stock
Class of Stock [Line Items]
Number of votes | vote	10
Class C common stock and class D common stock | Founder | Virtu Financial
Class of Stock [Line Items]
Ownership interest	86.50%