Long-term Incentive Compensation Plans - Additional Information (Details) - shares shares in Millions	9 Months Ended
Sep. 30, 2024	Sep. 30, 2023
AB Holding Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Units granted to employees and eligible directors (in shares)	1.2	0.4

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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+ Details