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Long-term Incentive Compensation Plans - Schedule of Share-based Compensation, Employee Stock Purchase Plan, Activity (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Share-Based Payment Arrangement [Abstract]        
Total amount of AB Holding units purchased (in shares) 0.1 1.1 1.3 2.1
Total Cash Paid for AB Holding Units Purchased $ 4.1 $ 38.6 $ 47.8 $ 71.7
Open Market Purchases of AB Holding Units Purchased (in shares) 0.1 1.1 1.1 1.8
Total Cash Paid for Open Market Purchases of AB Holding Units $ 3.9 $ 38.6 $ 42.3 $ 60.1