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Long-term Incentive Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2024
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, 2024 and 2023 consisted of the following:
Three Months Ended June 30,Six Months Ended June 30,
2024202320242023
(in millions)
Total amount of AB Holding Units Purchased (1)
0.9 — 1.0 0.5 
Total Cash Paid for AB Holding Units Purchased (1)
$29.0 $— $33.3 $18.8 
Open Market Purchases of AB Holding Units Purchased (1)
0.6 — 0.6 — 
Total Cash Paid for Open Market Purchases of AB Holding Units (1)
$21.5 $— $21.5 $— 
(1) Purchased on a trade date basis. The difference between open-market purchases and units retained 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.