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Long-term Incentive Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2023
Share-Based Payment Arrangement [Abstract]  
Schedule of Unit Award Repurchase Activity
Repurchases and retention of AB Holding Units for the three and six months ended June 30, 2023 and 2022 consisted of the following:
Three Months Ended June 30,Six Months Ended June 30,
2023202220232022
(in millions)
Total amount of AB Holding Units Purchased/Retained (1)
— 2.3 0.5 2.6 
Total Cash Paid for AB Holding Units Purchased/Retained (1)
$— $92.7 $18.8 $106.7 
Open Market Purchases of AB Holding Units Purchased (1)
— 2.3 — 2.3 
Total Cash Paid for Open Market Purchases of AB Holding Units (1)
$— $92.7 $— $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.