Adjustments to reconcile net (loss) income to net cash (used in) provided by operating activities: Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract] Statistical Measurement [Domain] Statistical Measurement [Domain] AFFILIATE TRANSACTIONS Related Party Transactions Disclosure [Text Block] Repayment of debt Repayments debt Repayments of Long-Term Debt Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] Cover page. Cover [Abstract] Net increase (decrease) in cash and cash equivalents and restricted cash Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect Less: Pro-rata share of Adjusted EBITDA from unconsolidated entities Income (Loss) from Equity Method Investments, Pro-Rata Share Income (Loss) from Equity Method Investments, Pro-Rata Share Principal collections on notes receivable Proceeds from Collection of Notes Receivable Percent interest acquired Business Acquisition, Percentage of Voting Interests Acquired Trading Symbol Trading Symbol Segment Reporting Information [Line Items] Segment Reporting Information [Line Items] Ownership Percentage Ownership percentage Equity Method Investment, Ownership Percentage Size of aircraft engine maintenance repair facility acquired Size Of Aircraft Engine Maintenance Repair Facility Size Of Aircraft Engine Maintenance Repair Facility Depreciation and amortization 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Subsequent Event [Table] Maximum Maximum [Member] Customer relationships Amortization of Intangible Assets Total payment due to Former Manager Internalization Agreement, Total Consideration Internalization Agreement, Total Consideration Payment of deferred financing costs Payments of Financing Costs Total Finite-Lived Intangible Assets, Net Non-U.S. Non-US [Member] Accounting Policies [Abstract] Accounting Policies [Abstract] Liabilities Liabilities [Abstract] Revenues Revenues Revenues [Abstract] Unamortized discount Debt Instrument, Unamortized Discount Fair Value Measurement Fair Value Measurement, Policy [Policy Text Block] ACQUISITION OF LOCKHEED MARTIN COMMERCIAL ENGINE SOLUTIONS Acquisition of QuickTurn Business Combination Disclosure [Text Block] Current Fiscal Year End Date Current Fiscal Year End Date Grant date fair value of share issued Share-based Compensation Arrangement by Share-based Payment Award, Options, Shares Issued, Grant Date Fair Value Share-based Compensation 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disclosure Notes Payable, Fair Value Disclosure Notes receivable Other Receivables Related Party Transactions [Abstract] Related Party Transactions [Abstract] Concentration Risk [Table] Concentration Risk [Table] Operating lease, right-of-use asset Operating Lease, Right-of-Use Asset Bad debt expense Accounts Receivable, Credit Loss Expense (Reversal) Other liabilities Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities, Other Segments [Axis] Segments [Axis] Total revenue Business Acquisition, Pro Forma Revenue Payments to acquire equity method investments Payments to Acquire Equity Method Investments EARNINGS PER SHARE AND EQUITY Earnings Per Share [Text Block] Subsequent Event Subsequent Event [Member] Senior Notes due 2032 Senior Notes Due 2032 [Member] Senior Notes Due 2032 Threshold 3 Threshold 3 [Member] Threshold 3 [Member] Less: Dividends on preferred shares Dividends, Preferred Stock Less: Accumulated amortization Below 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Long-Lived Assets by Geographic Areas [Table Text Block] Cash and Cash Equivalents Cash and Cash Equivalents, Policy [Policy Text Block] COMMITMENTS AND CONTINGENCIES Commitments and Contingencies Disclosure [Text Block] Debt Disclosure [Abstract] Debt Disclosure [Abstract] Ordinary Shares Common Stock [Member] Preferred stock, shares authorized (in shares) Preferred Stock, Shares Authorized Schedule of Business Acquisitions, by Acquisition [Table] Schedule of Business Acquisitions, by Acquisition [Table] Entity Emerging Growth Company Entity Emerging Growth Company Officer Officer [Member] Segment Reporting [Abstract] Segment Reporting [Abstract] Entity Central Index Key Entity Central Index Key Issuance of preferred shares Stock and Warrants Issued During Period, Value, Preferred Stock and Warrants Equity Method Investments and Joint Ventures [Abstract] Equity Method Investments and Joint Ventures [Abstract] Accounts payable and accrued liabilities Increase (Decrease) in Accounts Payable and Accrued Liabilities Equity Component [Domain] Equity Component [Domain] Preferred stock, par value (in dollars per share) Preferred Stock, Par or Stated Value Per Share Total debt due within one year Long-Term Debt, Current Maturities SEGMENT INFORMATION Segment Reporting Disclosure [Text Block] Asset sales revenue Manufactured Product, Other [Member] Acquisition of leasing equipment in accrued expenses Noncash or Part Noncash Acquisition, Leasing Equipment Acquired Noncash or Part Noncash Acquisition, Leasing Equipment Acquired Accounting Policies [Table] Accounting Policies [Table] Accounting Policies [Table] Increase (decrease) related to the change in fair value Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Gain (Loss) Included in Earnings Text Block [Abstract] Leasing equipment, net Leasing equipment, net Property, Plant and Equipment, Leasing Equipment Property, Plant and Equipment, Leasing Equipment Adjusted Term SOFR Rate Adjusted Term SOFR Rate [Member] Adjusted Term SOFR Rate Equity-based compensation APIC, Share-Based Payment Arrangement, Increase for Cost Recognition Restricted Shares Restricted Stock [Member] Entity Shell Company Entity Shell Company Non-cash termination fee to affiliate (issuance of ordinary shares) Gain (Loss) on Contract Termination Entity Incorporation, State or Country Code Entity Incorporation, State or Country Code Comprehensive Income Comprehensive Income, Policy [Policy Text Block] Repurchase of notes Debt Instrument, Repurchased Face Amount Transfers of inventory to leasing equipment for rebuilding and sale of engines Transfers To Leasing Equipment Transfers To Leasing Equipment Statement [Table] Statement [Table] Ireland IRELAND Accounts payable and accrued liabilities Accounts Payable and Accrued Liabilities SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES Significant Accounting Policies [Text Block] Geographic Concentration Risk Geographic Concentration Risk [Member] Consolidation Items [Domain] Consolidation Items [Domain] City Area Code City Area Code Income Incentive Allocation Threshold [Domain] Income Incentive Allocation Threshold [Domain] [Domain] for Income Incentive Allocation Threshold [Axis] Assets Held for Sale Assets Held For Sale [Policy Text Block] Assets Held For Sale Italy ITALY Concentration Risk Benchmark [Axis] Concentration Risk Benchmark [Axis] Statement of Cash Flows [Abstract] Statement of Cash Flows [Abstract] Preferred Shares Preferred Stock [Member] Dividends declared - ordinary and preferred shares Adjustments to Additional Paid in Capital, Dividends in Excess of Retained Earnings Quick Turn Engine Center LLC QuickTurn Engine LLC [Member] QuickTurn Engine LLC Service fee markup percent Transition Services Agreement, Service Fee Markup, Percent Transition Services Agreement, Service Fee Markup, Percent Schedule of Long-term Debt Instruments [Table] Schedule of Long-Term Debt Instruments [Table] Schedule of Segment Reporting Information, by Segment [Table] Schedule of Segment Reporting Information, by Segment [Table] Intangible assets Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill Exercise price (in dollars per share) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value Subsequent Event Type [Axis] Subsequent Event Type [Axis] INCOME TAXES Income Tax Disclosure [Text Block] Earnings Per Share [Abstract] Accumulated deficit Retained Earnings (Accumulated Deficit) Security deposits settled with accounts receivable Noncash or Part Noncash Acquisition, Security Deposits Settled and Assumed Noncash or Part Noncash Acquisition, Security Deposits Settled and Assumed Class of Stock [Domain] Class of Stock [Domain] Related Party Transaction [Line Items] Related Party Transaction [Line Items] Inventory Increase (Decrease) in Inventories General and administrative General and administrative General and Administrative Expense Leasing equipment Property, Plant and Equipment, Leasing Equipment, Gross, Property, Plant and Equipment, Leasing Equipment, Gross, Change in deferred income taxes Deferred Income Taxes and Tax Credits Organization, Consolidation and Presentation of Financial Statements [Abstract] Organization, Consolidation and Presentation of Financial Statements [Abstract] Senior Notes due 2028 Senior Notes Due 2028 [Member] Senior Notes Due 2028 Net cash provided by financing activities Net Cash Provided by (Used in) Financing Activities Credit Facility [Axis] Credit Facility [Axis] Amendment Flag Amendment Flag Cash received for assets sold sourced from Leasing equipment - inflow included in cash (used in) provided by operating activities Net Cash Provided By Operating Activities Related Assets Sold Sourced From Leasing Equipment Net Cash Provided By Operating Activities Related Assets Sold Sourced From Leasing Equipment Ownership percentage by manager Ownership Percentage by Manager Ownership Percentage by Manager Entity Registrant Name Entity Registrant Name Payments to acquire businesses, gross Payments to Acquire Businesses, Gross Internalization agreement, share consideration (in shares) Internalization Agreement, Share Consideration Internalization Agreement, Share Consideration Accounts receivable Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Assets, Receivables Depreciation and amortization Depreciation and amortization Depreciation, Depletion and Amortization State and local Deferred State and Local Income Tax Expense (Benefit) Machinery and equipment Machinery and Equipment [Member] Subsequent Events [Abstract] Subsequent Events [Abstract] DEBT, NET Debt Disclosure [Text Block] 8.25% Fixed-to-Floating Rate Series A Cumulative Perpetual Redeemable Preferred Shares 8.25% Fixed-to-Floating Rate Series A Cumulative Perpetual Redeemable [Member] 8.25% Fixed-to-Floating Rate Series A Cumulative Perpetual Redeemable [Member] Geographical [Domain] Geographical [Domain] Property, plant and equipment and leasing equipment, net Property, Plant and Equipment [Member] Debt instrument face amount Debt Instrument, Face Amount Issuance of ordinary shares Stock Issued During Period, Value, New Issues Favorable off-market lease component Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Off-Market Lease, Favorable Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Off-Market Lease, Favorable Entity Address, Postal Zip Code Entity Address, Postal Zip Code Principles of Consolidation Consolidation, Policy [Policy Text Block] Title of 12(b) Security Title of 12(b) Security Concentration Risk Type [Axis] Concentration Risk Type [Axis] Ordinary shares ($0.01 par value per share; 2,000,000,000 shares authorized; 102,549,679 and 100,245,905 shares issued and outstanding as of September 30, 2024 and December 31, 2023, respectively) Common Stock, Value, Issued Share-based Payment Arrangement [Abstract] Share-Based Payment Arrangement [Abstract] Debt, gross of debt issuance costs Long-Term Debt, Gross Of Debt Issuance Costs Long-Term Debt, Gross Of Debt Issuance Costs Proceeds (refunds) from deposits on sale of aircraft and engines Proceeds From Deposit On Sale Of Aircraft And Engine Proceeds From Deposit On Sale Of Aircraft And Engine Number of aircrafts sold Number Of Air Crafts Sold Number Of Air Crafts Sold Cash and cash equivalents Cash and Cash Equivalents, at Carrying Value LEASING EQUIPMENT, NET Lessor, Operating Leases [Text Block] Finite-Lived Intangible Assets [Line Items] Finite-Lived Intangible Assets [Line Items] Restructuring Charges Costs Associated with Exit or Disposal Activity or Restructuring [Policy Text Block] Current: Current Income Tax Expense (Benefit), Continuing Operations [Abstract] Loss on extinguishment of debt Loss on extinguishment of debt Loss on extinguishment of debt Gain (Loss) on Extinguishment of Debt Fair Value by Liability Class [Domain] Fair Value by Liability Class [Domain] Cash flows from financing activities: Net Cash Provided by (Used in) Financing Activities [Abstract] Investment in promissory notes Payments to Acquire Notes Receivable Concentration Risk [Line Items] Concentration Risk [Line Items] Preferred shares ($0.01 par value per share; 200,000,000 shares authorized; 15,920,000 and 15,920,000 shares issued and outstanding as of September 30, 2024 and December 31, 2023, respectively) Preferred Stock, Value, Issued Estimated useful life in years Property, Plant and Equipment, Useful Life Leases [Line Items] Capital Leased Assets [Line Items] Basic (in dollars per share) Earnings Per Share, Basic Security deposits and maintenance claims included in earnings Security Deposits and Maintenance Claims Security Deposits and Maintenance Claims Accrued management fees Accrued Management Fees [Member] Accrued Management Fees Cayman Islands CAYMAN ISLANDS Weighted Average Remaining Contractual Term (in years) Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Outstanding, Weighted Average Remaining Contractual Terms Net income (loss) attributable to shareholders Net income (loss) attributable to shareholders Net Income (Loss) Available to Common Stockholders, Basic Intangible assets: Finite-Lived Intangible Assets, Net [Abstract] Total assets Assets Concentration of Credit Risk Concentration Risk, Credit Risk, Policy [Policy Text Block] 2025 Finite-Lived Intangible Asset, Expected Amortization, Year One Cost of sales Cost of Goods and Services Sold Contributions from non-controlling interest Noncontrolling Interest, Increase from Subsidiary Equity Issuance Receipt of security deposits under operating lease agreements Increase in Security Deposits Increase in Security Deposits Acquisition of property, plant and equipment Payments to Acquire Property, Plant, and Equipment Senior Notes due 2030 Senior Notes due 2030 [Member] Senior Notes due 2030 Purchase deposits reclassified to leasing equipment from other assets Purchase Deposits Reclassified To Leasing Equipment Purchase Deposits Reclassified To Leasing Equipment Commitments and contingencies Commitments and Contingencies INVESTMENTS Equity Method Investments and Joint Ventures Disclosure [Text Block] Guarantees Guarantees [Member] Schedule of Related Party Transactions, by Related Party [Table] Related Party Transaction [Table] Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] Total revenues Revenues EQUITY-BASED COMPENSATION Share-Based Payment Arrangement [Text Block] Fair value of assets acquired: Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Assets [Abstract] Maintenance right assets Maintenance Right Assets Maintenance Right Assets Cash dividends - preferred shares Payments of Ordinary Dividends, Preferred Stock and Preference Stock South America South America South America [Member] Other liabilities Other Liabilities Payments to acquire asset Asset Acquisition, Consideration Transferred Revenue from External Customers by Geographic Areas Revenue from External Customers by Geographic Areas [Table Text Block] Threshold 2 Threshold 2 [Member] Threshold 2 [Member] Entity Address, City or Town Entity Address, City or Town Proceeds from debt Proceeds from Issuance of Long-Term Debt Principal collections on finance leases Proceeds from Collection of Lease Receivables Stocks issued during period for services (in shares) Stock Issued During Period, Shares, Issued for Services Schedule of Recognized Identified Assets Acquired and Liabilities Assumed Schedule of Recognized Identified Assets Acquired and Liabilities Assumed [Table Text Block] Debt Instrument [Axis] Debt Instrument [Axis] Grant date fair value of restricted shares issued Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Granted In Period, Fair Value Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Granted In Period, Fair Value Equity-based compensation Less: Equity-based compensation expense Share-Based Payment Arrangement, Expense Acquired unfavorable lease intangibles, net Below Market Lease, Net Fair Value, by Balance Sheet Grouping Fair Value, by Balance Sheet Grouping [Table Text Block] Loss Contingencies [Table] Loss Contingencies [Table] Business Acquisition [Axis] Business Acquisition [Axis] Schedule of Finite-Lived Intangible Assets and Liabilities Schedule of Finite-Lived Intangible Assets [Table Text Block] Total Amortization of Intangible Assets and Liabilities, Net Amortization of Intangible Assets and Liabilities, Net Entity File Number Entity File Number Series B Preferred Stock Series B Preferred Stock [Member] Document Fiscal Year Focus Document Fiscal Year Focus Non-Controlling Interest in Equity of Consolidated Subsidiaries Noncontrolling Interest [Member] Income Statement Income Statement [Abstract] Entity Address, Address Line One Entity Address, Address Line One Federal Current Federal Tax Expense (Benefit) Management fees payable to affiliate Increase (Decrease) in Due to Related Parties Debt Instrument, Name [Domain] Debt Instrument, Name [Domain] Document Period End Date Document Period End Date Percentage of interest acquired Asset Acquisition, Percentage Of Interest Acquired Asset Acquisition, Percentage Of Interest Acquired Base Rate Base Rate [Member] Fair value of liabilities assumed: Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities [Abstract] Equity in losses of unconsolidated entities Income (Loss) from Equity Method Investments, Net of Dividends or Distributions Fair value of assets acquired: Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Assets [Abstract] Increase in guarantees Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Liability, Issuances Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items] Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items] Property, plant, and equipment Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment, Excluding Leased Equipment, Net Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment, Excluding Leased Equipment, Net Other payables Other Payables [Member] Other Payables Accounts payable and accrued liabilities Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Current Liabilities, Accounts Payable Return of security deposits under operating lease agreements Decrease in Security Deposits Decrease in Security Deposits Lease income Amortization of Lease Intangible Assets and Liabilities, Net Amortization of Lease Intangible Assets and Liabilities, Net Advanced Engine Repair JV Advanced Engine Repair JV Advanced Engine Repair JV Advanced Engine Repair JV [Member] Advanced Engine Repair JV[Member] Reclassifications Reclassification, Comparability Adjustment [Policy Text Block] Document Transition Report Document Transition Report Assets held for sale Asset, Held-for-Sale, Not Part of Disposal Group Document Quarterly Report Document Quarterly Report Series D Preferred Stock Series D Preferred Stock [Member] Receipt of maintenance deposits under operating lease agreements Increase in Maintenance Deposits Increase in Maintenance Deposits Weighted average shares outstanding: Weighted Average Shares Outstanding [Abstract] Weighted Average Shares Outstanding [Abstract] Fair Value, Recurring and Nonrecurring [Table] Fair Value, Recurring and Nonrecurring [Table] Entity Current Reporting Status Entity Current Reporting Status Accumulated Deficit Retained Earnings [Member] Amortization of deferred financing costs Amortization of Debt Issuance Costs Asset Acquisition [Domain] Asset Acquisition [Domain] Other Property, Plant and Equipment, Other Types [Member] Pro rata distribution of income, percentage Equity Method Investment, Pro Rata Distribution of Income, Percentage Equity Method Investment, Pro Rata Distribution of Income, Percentage Related Party [Axis] Related and Nonrelated Parties [Axis] Basic (in shares) Weighted Average Common Shares Outstanding - Basic (in shares) Weighted Average Number of Shares Outstanding, Basic Aviation Leasing Aviation Leasing Aviation Leasing [Member] Aviation Leasing [Member] Proceeds from sale of assets Proceeds from Sale of Productive Assets Internalization fee to affiliate Less: Internalization fee to affiliate Internalization Fee To Affiliate Internalization Fee To Affiliate Total equity Beginning balance Ending balance Equity, Including Portion Attributable to Noncontrolling Interest Property, plant, and equipment Estimated Fair value Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Property, Plant, and Equipment North America North America North America [Member] Dividends Stockholders' Equity, Policy [Policy Text Block] Increase (Decrease) in Stockholders' Equity [Roll Forward] Increase (Decrease) in Stockholders' Equity [Roll Forward] Deposits for acquisitions of aircraft and engines Payments for Deposits on Leasing Equipment Payments for Deposits on Leasing Equipment Prepaid expense Prepaid Expense Revenue Benchmark Revenue Benchmark [Member] Threshold 1 Threshold 1 [Member] Threshold 1 [Member] Schedule of Components of Income Tax Expense Schedule of Components of Income Tax Expense (Benefit) [Table Text Block] Entity Filer Category Entity Filer Category Income Statement Location [Domain] Statement of Income Location, Balance [Domain] Summary of Contracted Minimum Future Annual Revenues Lessor, Operating Lease, Payment to be Received, Maturity [Table Text Block] Loss Contingencies [Line Items] Loss Contingencies [Line Items] Letter of Credit Letter of Credit [Member]