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Subsequent Events - Additional Information (Details) - USD ($) | 1 Months Ended | 3 Months Ended | 6 Months Ended
--- | --- | --- | ---
Apr. 30, 2023 | Mar. 31, 2023 | Mar. 31, 2023
Subsequent Event [Line Items] |  |  |
Proceeds from insurance settlement |  | $ 4,759,000 | $ 4,759,000
Subsequent Event [Member] | Hurricane Lan Crop Insurance [Member] |  |  |
Subsequent Event [Line Items] |  |  |
Proceeds from insurance settlement | $ 8,900,000,000 |  |
Subsequent Event [Member] | Property And Casualty Damage Claims [Member] |  |  |
Subsequent Event [Line Items] |  |  |
Proceeds from insurance settlement | $ 838,000,000 |  |

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- Definition Amount of cash inflow for proceeds from settlement of insurance claim, classified as operating activities. Excludes insurance settlement classified as investing activities. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 16 -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3337-108585 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 21B -URI https://asc.fasb.org/extlink&oid=126954810&loc=SL94080549-108585 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
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Period Type: |

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- Details
Name: | us-gaap_LossContingenciesByNatureOfContingencyAxis=alco_HurricaneLanCropInsuranceMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |