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Long-term Incentive Compensation Plans - Unit Purchase Activity (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Share-based Payment Arrangement [Abstract]    
Total amount of AB Holding Units Purchased (in units) 0.9 2.0
Total Cash Paid for AB Holding Units Purchased $ 19.8 $ 58.6
Open Market Purchases of AB Holding Units Purchased (in units) 0.8 1.9
Total Cash Paid for Open Market Purchases of AB Holding Units $ 17.3 $ 55.2