Business Description and Organization - Additional Information (Details)	12 Months Ended
Dec. 31, 2024 shares
Ownership structure of AB expressed as percentage of general and limited partnership interests
General partnership number of general partnership units owned in holding company (in shares)	100,000
AB Holding \| AB
Ownership structure of AB expressed as percentage of general and limited partnership interests
General partnership interest in company (percent)	1.00%

Percentage investment held by the managing member or general partner of the limited liability company (LLC) or limited partnership (LP).

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 272
-SubTopic 10
-Section 50
-Paragraph 3
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482987/272-10-50-3

Name:	us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration