Long-term Incentive Compensation Plans (Details) - shares shares in Millions	3 Months Ended
Mar. 31, 2023	Mar. 31, 2022
AB Holding Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Units granted to employees and eligible directors (in shares)	0.3	0.7

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.

No definition available.

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Period Type:	duration