Warrants	3 Months Ended
Warrants	Mar. 31, 2024
Derivative Instruments and Hedging Activities Disclosure [Abstract]
Warrants	Warrants Shortfall Warrants On March 27, 2023, the Company issued an aggregate of 2,073,486 warrants to ACM and 2,010,000 warrants to Vellar pursuant to the Forward Purchase Agreement (collectively, the “Shortfall Warrants”), as further described in Note 2 - Summary of Significant Accounting Policies. Each Shortfall Warrant entitles the registered holder to purchase one share of common stock at a price of $10.00 per share, subject to adjustment in the event that the Company sells, grants or otherwise issues common stock or common stock equivalents at an effective price less than the then current exercise price of the Shortfall Warrants, at any time commencing on or after March 27, 2023. A holder of a Shortfall Warrant may exercise such warrants on a cashless basis. The Shortfall Warrants expire on the fifth anniversary of their issuance. On the issuance date, the Shortfall Warrants met the definition of a derivative but did not qualify for the exception from derivative accounting under the indexation guidance and therefore met the criteria for liability classification under ASC 815. The fair value of the Shortfall Warrants as of March 31, 2023 was $5,104. On May 13, 2023, the Company amended the Shortfall Warrant agreement. Under the amended agreement, the Shortfall Warrants meet the requirements for equity classification under ASC 815-40. Consequently, the Company recorded a gain of $2,042 as of the date of the amendment to reflect the fair value of $3,063 at the date of the amendment through Other income (expense), net on the condensed consolidated statements of operations and comprehensive loss and reclassified the Shortfall Warrants to Additional paid-in capital on the condensed consolidated balance sheets. Public Warrants and Private Placement Warrants As part of AMCI’s initial public offering (“IPO”), AMCI issued warrants to third-party investors. Each public warrant entitles the holder to purchase one share of the Company’s common stock at an exercise price of $11.50 per share (the “Public Warrants”). Simultaneously with the closing of the IPO, AMCI completed the private sale of warrants. Each private sale warrant allows the holder to purchase one share of the Company’s common stock at $11.50 per share. Additionally, prior to the consummation of the Business Combination, AMCI issued warrants for the settlement of a working capital loan. The working capital warrants have the same terms as the private sale of warrants issued at the IPO. Warrants sold in the private sale at the IPO and the warrants issued to convert the working capital loan are collectively referred to as the “Private Placement Warrants”. On the Closing Date and as of March 31, 2024, 7,499,924 Public Warrants and 4,774,276 Private Placement Warrants remained outstanding. These warrants expire on the fifth anniversary of the Business Combination or earlier upon redemption or liquidation and are exercisable commencing 30 days after the Business Combination, provided that the Company has an effective registration statement under the Securities Act covering the shares of common stock issuable upon exercise of the warrants and a current prospectus relating to them is available (or the Company permits holders to exercise their warrants on a cashless basis under the circumstances specified in the warrant agreement) and registered, qualified or exempt from registration under the securities, or blue sky, laws of the state of residence of the holder. Once the Public Warrants become exercisable, the Company may redeem the outstanding warrants: a.in whole and not in part; b.at a price of $0.01 per warrant; c.upon a minimum of 30 days’ prior written notice of redemption to each warrant holder; and d.if, and only if, the closing price of the common stock equals or exceeds $18.00 per share for any 20 trading days within a 30-trading day period ending three trading days before we send the notice of redemption to the warrant holders. The Company additionally has the ability to redeem the Public Warrants at the option of the Company when the price of common stock exceeds $10.00 per share at a price of $0.10 per warrant. In this scenario, warrant holders may choose to exercise their warrants on a cashless basis during the minimum 30-day notice period, and receive common stock in exchange for their warrants at a rate based on fair value of the common stock and the proximity to the expiration date of the warrants. As long as the Private Placement warrants are held by AMCI Sponsor II LLC (the “Sponsor”) or its permitted transferees, they are not redeemable by LanzaTech. If the Private Placement Warrants are held by holders other than the Sponsor or its permitted transferees, the Private Placement Warrants will be redeemable by LanzaTech in all redemption scenarios and exercisable by the holders on the same basis as the Public Warrants. The Sponsor, or its permitted transferees, has the option to exercise the Private Placement Warrants on a cashless basis. The Public Warrants and Private Placement Warrants are recognized as derivative liabilities in accordance with ASC 815. Accordingly, the Company recognized the warrant instruments as liabilities at fair value as of the Closing Date, with an offsetting entry to Additional paid-in capital and adjusts the carrying value of the instruments to fair value through Other income (expense), net on the condensed consolidated statements of operations and comprehensive loss at each reporting period until they are exercised. The Public Warrants and Private Placement Warrants are presented within Warrants on the condensed consolidated balance sheets.