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Related Party Transactions - Additional Information (Detail) - USD ($) |  |  |  | 1 Months Ended | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | --- | --- | ---
Aug. 01, 2022 | Dec. 14, 2021 | Aug. 21, 2021 | Jul. 31, 2021 | Sep. 30, 2022 | Dec. 31, 2021 | Sep. 30, 2021 | Sep. 30, 2022 | Sep. 30, 2021 | Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2019
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction expenses |  |  |  |  |  |  |  | $ 11,829,785 | $ 35,263,146 |  |  |
Outstanding related party payable |  |  |  |  | $ 14,394,340 | $ 8,642,340 |  | 14,394,340 |  | $ 8,642,340 |  |
Allocated corporate costs (income) |  |  |  |  | 338,523 |  | $ 3,321,308 | 1,624,245 | 7,909,182 |  |  |
Outstanding related party receivable |  |  |  |  | 81,843,504 | 220,000 |  | 81,843,504 |  | 220,000 |  |
Outstanding related party payable from reimbursement for marketing expenses |  |  |  |  | 190,377 |  |  | 190,377 |  |  |  |
Transaction Cost Incurred |  |  |  |  |  | 400,000 |  | 24,300,000 | 2,000,000 | 8,600,000 |  |
Transaction cost incurred which related to merger activity |  |  |  |  |  |  | 70,000.00 | 21,400,000 | 500,000 |  |  |
Transaction cost capitalized |  |  |  |  |  |  |  | 15,700,000 |  |  |  |
Transaction cost recognized as expense related to merger activity |  |  |  |  |  |  |  | 5,700,000 |  |  |  |
Transaction cost incurred which related to carve out preparation |  |  |  |  |  |  |  | 2,400,000 |  | 2,400,000 |  |
Transaction cost incurred which related to carve out preparation prior fiscal period |  |  |  |  |  |  |  |  | 1,900,000 |  |  |
Transaction cost incurred which related to carve out preparation current fiscal period |  |  |  |  |  |  |  | 500,000 |  |  |  |
Transaction cost incurred which related to impact to statement of operations |  |  |  |  |  |  |  | 8,600,000 |  |  |  |
Transaction cost recognized as expense related to carve out preparation |  |  |  |  |  |  |  | 6,200,000 |  |  |  |
Transaction cost recognized as expense excluding carve out preparation and merger activity |  |  |  |  | 0 |  | 400,000 |  |  |  |  |
Due to related parties from reimbursement for payroll expenses and insurance |  |  |  |  | 1,005,372 |  |  | 1,005,372 |  |  |  |
Parent Company [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
General and administrative allocations by parent |  |  |  |  |  |  |  |  |  | 1,323,915 | $ 1,167,432 | $ 1,710,595
Master Service Agreement And Shared Service Agreement |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction amounts of transaction |  |  |  |  |  |  |  |  |  | 1,109,345 |  |
Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from Contributions from related party |  |  |  | $ 300,000,000 |  |  |  |  |  |  |  |
Selling, General and Administrative Expenses |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Allocated corporate costs (income) |  |  |  |  | 265,747 |  | 515,353 | 988,198 | 1,272,764 |  |  |
Master Service Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction expenses |  |  |  |  |  |  |  | 11,254,372 | 26,919,670 |  |  |
Outstanding related party payable |  |  |  |  | 11,339,145 |  |  | 11,339,145 |  |  |  |
Master Service Agreement [Member] | Parent Company [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Service agreement fees and expenses settlement days |  | 45 days |  |  |  |  |  |  |  |  |  |
Shared Service Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Related party transaction expenses |  |  |  |  |  |  |  | 236,889 | 528,597 |  |  |
Outstanding related party payable |  |  |  |  | 235,199 |  |  | 235,199 |  |  |  |
Shared Service Agreement [Member] | Parent Company [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Service agreement fees and expenses settlement days |  | 45 days |  |  |  |  |  |  |  |  |  |
Period of service agreement term |  | 15 years |  |  |  |  |  |  |  |  |  |
ZANITE ACQUISITION CORP [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Transaction cost recognized as expense related to carve out preparation |  |  |  |  |  |  |  |  |  | 6,200,000 |  |
ERJ [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from contributed capital |  |  | $ 15,000,000 |  |  |  |  |  |  |  |  |
ERJ |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Outstanding related party payable |  |  |  |  | 10,844,624 | 0 |  | 10,844,624 |  | 0 |  |
Outstanding related party receivable |  |  |  |  | 205,358 | 220,000 |  | 205,358 |  | 220,000 |  |
ERJ | 2022 stock Incentive Plan |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Outstanding related party receivable |  |  |  |  | 190,518 |  |  | 190,518 |  |  |  |
ERJ | Selling, General and Administrative Expenses |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Capital contribution |  |  |  | $ 15,000,000 |  |  |  |  |  |  |  |
Allocated corporate costs (income) |  |  |  |  | 338,523 |  | $ 3,321,308 | 1,624,245 | $ 7,909,182 |  |  |
Atech [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Outstanding related party payable |  |  |  |  | 920,098 | 0 |  | 920,098 |  | 0 |  |
Outstanding related party receivable |  |  |  |  | 0 | 0 |  | 0 |  | 0 |  |
Atech [Member] | Shared Service Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Period of service agreement term |  | 15 years |  |  |  |  |  |  |  |  |  |
Embraer Aircraft Holding Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Outstanding related party payable |  |  |  |  | 2,276,908 | 8,642,340 |  | 2,276,908 |  | 8,642,340 |  |
Amounts payable |  |  |  |  | 1,271,535 |  |  | 1,271,535 |  |  |  |
Outstanding related party receivable |  |  |  |  | 81,638,146 | 0 |  | 81,638,146 |  | 0 |  |
Due from related party and accrued interest amount |  |  |  |  | 81,638,146 |  |  | 81,638,146 |  |  |  |
Embraer Aircraft Holding Inc [Member] | Loan Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face value | $ 81,000,000 |  |  |  |  |  |  |  |  |  |  |
Debt instrument interest rate stated percentage | 4.89% |  |  |  |  |  |  |  |  |  |  |
Debt instrument maturity date | Aug. 01, 2023 |  |  |  |  |  |  |  |  |  |  |
Other Related Parties [Member] |  |  |  |  |  |  |  |  |  |  |  |
Related Party Transaction [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Outstanding related party payable |  |  |  |  | 352,710 | 0 |  | 352,710 |  | 0 |  |
Outstanding related party receivable |  |  |  |  | $ 0 | $ 0 |  | $ 0 |  | $ 0 |  |

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