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Note 12 - Subsequent Events (Details Textual) - Subsequent Event [Member] - USD ($) | Nov. 08, 2023 | Oct. 16, 2023 | Oct. 06, 2023
--- | --- | --- | ---
Proceeds From Sale of Investment Tax Credits |  |  | $ 55,200,000
PUPA Fourth Amendment [Member] |  |  |
Preferred Units Issued Value | $ 102,500,000 |  |
Closing Fee | $ 5,500,000 |  |
Series A Preferred Stock [Member] | Series A Preferred Unit Purchase Agreement [Member] |  |  |
Payments for Repurchase of Preferred Units |  | $ 30,000,000 |
Revolving Credit Facility [Member] |  |  |
Repayments of Long-Term Debt |  | 8,600,000 |
Third Eye Capital [Member] |  |  |
Repayments of Long-Term Debt |  | 50,200,000 |
Third Eye Capital [Member] | Fuels Revolving Line [Member] | GAFI [Member] |  |  |
Repayments of Long-Term Debt |  | 11,600,000 |
Third Eye Capital [Member] | GAFI Revolving Loan [Member] |  |  |
Line of Credit Facility, Current Borrowing Capacity |  | 37,500,000 |
Third Eye Capital [Member] | Revolving Credit Facility [Member] |  |  |
Repayments of Long-Term Debt |  | $ 8,600,000 |

X
- Definition Amount of closing fee. + References No definition available. + Details
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Namespace Prefix: | amtx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Amount of cash outflow for the repurchase of preferred units + References No definition available. + Details
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Namespace Prefix: | amtx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Represents preferred units issued value. + References No definition available. + Details
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Balance Type: | credit
Period Type: | duration

X
- Definition Amount of cash inflow from sale of investment tax credits. + References No definition available. + Details
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Balance Type: | debit
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X
- Definition Amount of current borrowing capacity under the credit facility considering any current restrictions on the amount that could be borrowed (for example, borrowings may be limited by the amount of current assets), but without considering any amounts currently outstanding under the facility. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02.19(b),22(b)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 + Details
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X
- Definition The cash outflow for debt initially having maturity due after one year or beyond the normal operating cycle, if longer. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 946 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 3 -Subparagraph (SX 210.6-03(i)(2)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479886/946-10-S99-3 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 15 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-15 + Details
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