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Income Taxes - Principal Reasons for the Difference Between the Effective Tax Rate and Statutory Tax Rate (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Income Tax Disclosure [Abstract] |  |  |
New York City unincorporated business tax rate | 4.00% | 4.00% | 4.00%
Multiplied by: federal tax (percent) | 3.50% | 3.50% | 3.50%
AB Holding's effective tax expense [Abstract] |  |  |
UBT statutory rate | $ 18,478 | $ 11,991 | $ 12,220
Federal tax on partnership gross business income | 37,622 | 34,765 | 30,676
State income taxes | 953 | 832 | 663
Credit for UBT paid by AB | (18,478) | (11,991) | (12,220)
Total income taxes | $ 38,575 | $ 35,597 | $ 31,339
AB Holding' effective tax rate [Abstract] |  |  |
UBT statutory rate | 4.00% | 4.00% | 4.00%
Federal tax on partnership gross business income | 8.10% | 11.60% | 10.00%
State income taxes | 0.30% | 0.30% | 0.20%
Credit for UBT paid by AB | (4.00%) | (4.00%) | (4.00%)
Income tax expense and effective tax rate | 8.40% | 11.90% | 10.30%

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- Definition Amount of current federal tax expense (benefit) attributable to income (loss) from continuing operations. Includes, but is not limited to, current national tax expense (benefit) for non-US (United States of America) jurisdiction. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.7) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479360/740-10-S99-1 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 235 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(1)(Note 1)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1 Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Name Accounting Standards Codification -Section 50 -Paragraph 9 -Subparagraph (a) -SubTopic 10 -Topic 740 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-9 + Details
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- Definition Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to state and local income tax expense (benefit), net of federal tax expense (benefit). + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 231 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482663/740-10-55-231 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12A -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-12A Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-12 Reference 4: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 235 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(2)) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1 + Details
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