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Long-term Incentive Compensation Plans (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Share-based Payment Arrangement [Abstract]    
Total amount of AB Holding Units Purchased (in units) 1,000,000.0 900,000
Total Cash Paid for AB Holding Units Purchased $ 37,400 $ 19,800
Open Market Purchases of AB Holding Units (in units) 600,000 800,000
Total Cash Paid for Open Market Purchases of AB Holding Units $ 24,200 $ 17,300
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Units issued upon options exercised (in units) 100,000 5,182
Proceeds from stock options exercised $ 1,914 $ 147
Employees and Eligible Directors    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Restricted AB Holding Unit awards granted to employees and Eligible Directors (in units) 3,400,000 100,000