Long-term Incentive Compensation Plans (Tables)

6 Months Ended

Jun. 30, 2025

Share-Based Payment Arrangement [Abstract]

Schedule of Unit Award Repurchase Activity

Repurchases of AB Holding Units for the three and six months ended June 30, 2025 and 2024 consisted of the following:

	Three Months Ended June 30,				Six Months Ended June 30,
	2025		2024		2025		2024
	(in millions)
Total amount of AB Holding Units Purchased (1)	0.4		0.9		1.2		1.0
Total Cash Paid for AB Holding Units Purchased (1)	$	13.2	$	29.0	$	43.7	$	33.3
Open Market Purchases of AB Holding Units Purchased (1)	0.3		0.6		1.0		0.6
Total Cash Paid for Open Market Purchases of AB Holding Units (1)	$	12.3	$	21.5	$	38.4	$	21.5

(1) Purchased on a trade date basis. The difference between open-market purchases and total amount of units purchased reflects the retention of AB Holding Units from employees to fulfill statutory tax withholding requirements at the time of delivery of long-term incentive compensation awards.