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Long-term Incentive Compensation Plans (Tables)
9 Months Ended
Sep. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Schedule of Unit Award Repurchase Activity
Repurchases and retention of AB Holding Units for the three and nine months ended September 30, 2023 and 2022 consisted of the following:
Three Months Ended September 30,Nine Months Ended September 30,
2023202220232022
(in millions)
Total amount of AB Holding Units Purchased/Retained (1)
1.8 — 2.3 2.6 
Total Cash Paid for AB Holding Units Purchased/Retained (1)
$56.9 $1.0 $75.7 $107.7 
Open Market Purchases of AB Holding Units Purchased (1)
1.8 — 1.8 2.3 
Total Cash Paid for Open Market Purchases of AB Holding Units (1)
$56.9 $— $56.9 $92.7 
(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.