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Summary of Significant Accounting Policies - Restatement (Details) $ / shares in Units, $ in Thousands | 2 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Apr. 04, 2021 USD ($) | Sep. 30, 2022 USD ($) $ / shares | Sep. 30, 2021 USD ($) $ / shares | Dec. 31, 2021 USD ($) $ / shares | Dec. 31, 2020 USD ($) $ / shares
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  | $ 11,047 |  | $ 24,752 | $ 23,217
Accumulated deficit |  | (434,863) |  | (379,889) | (333,200)
Gain from equity method investees, net |  | 2,346 | $ 2,371 | (1,606) | (1,644)
Revenue from related party transactions |  | 2,116 | 2,348 | 3,253 | 4,203
Contract assets |  | 14,848 |  | 11,700 | 6,186
Other accrued liabilities |  | 8,064 |  | 7,059 | 2,897
Revenue from contracts with customers |  |  |  | 18,871 | 12,987
Consolidated Balance Sheet |  |  |  |  |
Contract assets |  | 14,848 |  | 11,700 | 6,186
Total current assets |  | 88,815 |  | 148,675 | 76,589
Equity method investments |  | 11,047 |  | 24,752 | 23,217
Total assets |  | 135,590 |  | 193,011 | 118,980
Other accrued liabilities |  | 8,064 |  | 7,059 | 2,897
Total current liabilities |  | 49,047 |  | 49,290 | 15,204
Total liabilities |  | 62,599 |  | 67,297 | 35,788
Accumulated deficit |  | (434,863) |  | (379,889) | (333,200)
Total shareholders’ deficit |  | (407,640) | (339,740) | (354,917) | (311,216)
Total liabilities, contingently redeemable preferred stock, and shareholders' deficit |  | 135,590 |  | 193,011 | 118,980
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenue from contracts with customers |  |  |  | 18,871 | 12,987
Revenues |  | 2,116 | 2,348 | 3,253 | 4,203
Revenues |  | 25,781 | 18,327 | 25,461 | 18,353
Cost of revenues from contracts with customers (exclusive of depreciation shown below) |  |  |  | (13,167) | (8,185)
Total cost and operating expenses |  |  |  | (76,480) | (58,054)
Loss from operations |  | (56,223) | (35,244) | (51,019) | (39,701)
Loss before income taxes |  | (57,320) | (32,962) | (48,634) | (39,880)
Gain from equity method investees, net |  | 2,346 | 2,371 | 1,945 | 2,167
Net income (loss) |  | (54,974) | (30,591) | (46,689) | (37,713)
Net loss allocated to common shareholders |  | (83,899) | (57,659) | (83,447) | (69,004)
Net loss allocated to common shareholders |  |  |  | (83,447) | (69,004)
Comprehensive loss |  | $ (55,741) | $ (30,620) | $ (46,594) | $ (37,088)
Net loss per common share - basic (usd per share) | $ / shares |  | $ (39,790) | $ (30,190) | $ (42.59) | $ (42.34)
Net loss per common share - diluted (usd per share) | $ / shares |  | $ (39,790) | $ (30,190) | $ (42.59) | $ (42.34)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | $ (354,917) | $ (311,216) | $ (311,216) | $ (276,592)
Net loss |  | (54,974) | (30,591) | (46,689) | (37,713)
Balance at the end |  | (407,640) | (339,740) | (354,917) | (311,216)
Consolidated Statement of Cash Flows |  |  |  |  |
Net loss |  | (54,974) | (30,591) | (46,689) | (37,713)
Non-cash recognition of licensing revenue |  | (1,620) | (1,516) | (2,022) | (1,018)
Gain from equity method investees, net |  | 2,346 | 2,371 | 1,945 | 2,167
Contract assets |  | (3,270) | (3,838) | (5,514) | (5,605)
Accounts payable and accrued salaries and wages |  | 463 | 717 | 1,256 | 690
Net cash used in operating activities |  | (71,336) | (26,718) | (42,591) | (39,271)
Gain on dilution |  |  |  | 503 |
LanzaJet |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | 12,433 | 13,651
Revenue from contracts with customers |  | 1,620 | 1,516 | 2,025 | 1,018
Consolidated Balance Sheet |  |  |  |  |
Equity method investments |  |  |  | 12,433 | 13,651
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenue from contracts with customers |  | 1,620 | 1,516 | 2,025 | 1,018
Consolidated Statement of Cash Flows |  |  |  |  |
Gain on dilution | $ 503 |  |  |  |
Intra-entity | LanzaJet |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Revenue from contracts with customers |  | (395) | (497) | 662 | 549
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenue from contracts with customers |  | (395) | (497) | 662 | 549
Accumulated Deficit |  |  |  |  |
Consolidated Balance Sheet |  |  |  |  |
Total shareholders’ deficit |  | (434,863) | (363,791) | (379,889) | (333,200)
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Net income (loss) |  | (54,974) | (30,591) | (46,689) | (37,713)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | (379,889) | (333,200) | (333,200) | (295,487)
Net loss |  | (54,974) | (30,591) | (46,689) | (37,713)
Balance at the end |  | (434,863) | (363,791) | (379,889) | (333,200)
Consolidated Statement of Cash Flows |  |  |  |  |
Net loss |  | (54,974) | (30,591) | (46,689) | (37,713)
Related Party Supply Agreement |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Related party fees |  |  |  | 1,223 | 242
As Previously Reported |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | 26,479 | 24,023
Accumulated deficit |  |  |  | (378,162) | (332,394)
Revenue from related party transactions |  |  |  | 3,915 | 4,752
Contract assets |  |  |  |  | 6,064
Other accrued liabilities |  |  |  |  | 2,775
Revenue from contracts with customers |  |  |  | 18,993 | 12,865
Consolidated Balance Sheet |  |  |  |  |
Contract assets |  |  |  |  | 6,064
Total current assets |  |  |  |  | 76,467
Equity method investments |  |  |  | 26,479 | 24,023
Total assets |  |  |  | 194,738 | 119,664
Other accrued liabilities |  |  |  |  | 2,775
Total current liabilities |  |  |  |  | 15,082
Total liabilities |  |  |  |  | 35,666
Accumulated deficit |  |  |  | (378,162) | (332,394)
Total shareholders’ deficit |  |  |  | (353,190) | (310,410)
Total liabilities, contingently redeemable preferred stock, and shareholders' deficit |  |  |  | 194,738 | 119,664
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenue from contracts with customers |  |  |  | 18,993 | 12,865
Revenues |  |  |  | 3,915 | 4,752
Revenues |  |  |  | 26,245 | 18,780
Cost of revenues from contracts with customers (exclusive of depreciation shown below) |  |  |  | (13,289) | (8,063)
Total cost and operating expenses |  |  |  | (76,602) | (57,932)
Loss from operations |  |  |  | (50,357) | (39,152)
Loss before income taxes |  |  |  | (47,972) | (39,331)
Gain from equity method investees, net |  |  |  | 2,204 | 2,424
Net income (loss) |  |  |  | (45,768) | (36,907)
Net loss allocated to common shareholders |  |  |  | (82,526) | (68,198)
Net loss allocated to common shareholders |  |  |  | (82,526) | (68,198)
Comprehensive loss |  |  |  | $ (45,673) | $ (36,282)
Net loss per common share - basic (usd per share) | $ / shares |  |  |  | $ (42.12) | $ (41.84)
Net loss per common share - diluted (usd per share) | $ / shares |  |  |  | $ (42.12) | $ (41.84)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | (353,190) | (310,410) | $ (310,410) | $ (276,592)
Net loss |  |  |  | (45,768) | (36,907)
Balance at the end |  |  |  | (353,190) | (310,410)
Consolidated Statement of Cash Flows |  |  |  |  |
Net loss |  |  |  | (45,768) | (36,907)
Non-cash recognition of licensing revenue |  |  |  | (2,684) | (1,567)
Gain from equity method investees, net |  |  |  | 2,204 | 2,424
Contract assets |  |  |  | (5,636) | (5,483)
Accounts payable and accrued salaries and wages |  |  |  | 1,378 | 568
Net cash used in operating activities |  |  |  | (42,591) | (39,271)
Gain on dilution |  |  |  | 181 |
As Previously Reported | Accumulated Deficit |  |  |  |  |
Consolidated Balance Sheet |  |  |  |  |
Total shareholders’ deficit |  |  |  | (378,162) | (332,394)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | (378,162) | (332,394) | (332,394) | (295,487)
Balance at the end |  |  |  | (378,162) | (332,394)
Adjustments |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | (1,727) | (806)
Accumulated deficit |  |  |  | (1,727) | (806)
Revenue from related party transactions |  |  |  | (662) | (549)
Contract assets |  |  |  |  | 122
Other accrued liabilities |  |  |  |  | 122
Revenue from contracts with customers |  |  |  | (122) | 122
Cost of revenue |  |  |  |  | 122
Consolidated Balance Sheet |  |  |  |  |
Contract assets |  |  |  |  | 122
Total current assets |  |  |  |  | 122
Equity method investments |  |  |  | (1,727) | (806)
Total assets |  |  |  | (1,727) | (684)
Other accrued liabilities |  |  |  |  | 122
Total current liabilities |  |  |  |  | 122
Total liabilities |  |  |  |  | 122
Accumulated deficit |  |  |  | (1,727) | (806)
Total shareholders’ deficit |  |  |  | (1,727) | (806)
Total liabilities, contingently redeemable preferred stock, and shareholders' deficit |  |  |  | (1,727) | (684)
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenue from contracts with customers |  |  |  | (122) | 122
Revenues |  |  |  | (662) | (549)
Revenues |  |  |  | (784) | (427)
Cost of revenues from contracts with customers (exclusive of depreciation shown below) |  |  |  | 122 | (122)
Total cost and operating expenses |  |  |  | 122 | (122)
Loss from operations |  |  |  | (662) | (549)
Loss before income taxes |  |  |  | (662) | (549)
Gain from equity method investees, net |  |  |  | (259) | (257)
Net income (loss) |  |  |  | (921) | (806)
Net loss allocated to common shareholders |  |  |  | (921) | (806)
Net loss allocated to common shareholders |  |  |  | (921) | (806)
Comprehensive loss |  |  |  | $ (921) | $ (806)
Net loss per common share - basic (usd per share) | $ / shares |  |  |  | $ (0.47) | $ (0.50)
Net loss per common share - diluted (usd per share) | $ / shares |  |  |  | $ (0.47) | $ (0.50)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | (1,727) | (806) | $ (806) | $ 0
Net loss |  |  |  | (921) | (806)
Balance at the end |  |  |  | (1,727) | (806)
Consolidated Statement of Cash Flows |  |  |  |  |
Net loss |  |  |  | (921) | (806)
Non-cash recognition of licensing revenue |  |  |  | 662 | 549
Gain from equity method investees, net |  |  |  | (259) | (257)
Contract assets |  |  |  | 122 | (122)
Accounts payable and accrued salaries and wages |  |  |  | (122) | 122
Net cash used in operating activities |  |  |  | 0 | 0
Adjustments | Accumulated Deficit |  |  |  |  |
Consolidated Balance Sheet |  |  |  |  |
Total shareholders’ deficit |  |  |  | (1,727) | (806)
Consolidated Statement of Changes in Redeemable Convertible Preferred Stock and Shareholders’ Equity (Deficit) |  |  |  |  |
Balance at the beginning |  | $ (1,727) | $ (806) | (806) | 0
Balance at the end |  |  |  | (1,727) | (806)
Adjustments | Error Correction, Equity Method Investments, Intangibles And Fixed Assets |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | 580 | 257
Accumulated deficit |  |  |  | (580) | (257)
Gain from equity method investees, net |  |  |  | (580) | (257)
Consolidated Balance Sheet |  |  |  |  |
Equity method investments |  |  |  | 580 | 257
Accumulated deficit |  |  |  | (580) | (257)
Adjustments | Error Correction, Equity Method Investment, Contributed Intellectual Asset |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | 662 | 549
Accumulated deficit |  |  |  | (662) | (549)
Revenue from related party transactions |  |  |  | (662) | (549)
Consolidated Balance Sheet |  |  |  |  |
Equity method investments |  |  |  | 662 | 549
Accumulated deficit |  |  |  | (662) | (549)
Consolidated Statement of Operations and Comprehensive Loss |  |  |  |  |
Revenues |  |  |  | (662) | $ (549)
Adjustments | Error Correction, Equity Method Investment, Gain On Dilution |  |  |  |  |
Error Corrections and Prior Period Adjustments Restatement [Line Items] |  |  |  |  |
Equity method investments |  |  |  | 322 |
Accumulated deficit |  |  |  | 322 |
Gain from equity method investees, net |  |  |  | 322 |
Consolidated Balance Sheet |  |  |  |  |
Equity method investments |  |  |  | 322 |
Accumulated deficit |  |  |  | $ 322 |

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