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Grants in Period, Weighted Average Grant Date Fair Value Revenue recognized Contract with Customer, Liability, Revenue Recognized Indefinite-lived intangible assets: Intangible Asset, Excluding Goodwill, after Accumulated Amortization [Abstract] Credit Agrrement Credit Agrrement [Member] Credit Agrrement Accumulated Deficit Retained Earnings [Member] Revolving Credit Facility Revolving Credit Facility [Member] Deferred Offering Costs Stockholders' Equity, Policy [Policy Text Block] Software, In-Development, Internally Developed, and Purchased Software, In-Development, Internally Developed, and Purchased [Member] Erroneously Awarded Compensation Recovery Erroneously Awarded Compensation Recovery [Table] Forfeited (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Forfeitures in Period Increase (Decrease) in Stockholders' Equity [Roll Forward] Increase (Decrease) in Stockholders' Equity [Roll Forward] Common stock, shares outstanding (in shares) 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consideration arrangement of earn-out payments Business Combination, Contingent Consideration, Range of Outcomes, Maximum, Amount Base Rate Floor Base Rate Floor [Member] Base Rate Floor Net income (loss) Net income (loss) Net Income (Loss) Attributable to Parent Long-Term Debt, Type [Axis] Long-Term Debt, Type [Axis] Erroneous Compensation Analysis Erroneous Compensation Analysis [Text Block] Bridge Loan Bridge Loan [Member] Statement [Table] Statement [Table] Proceeds from initial public offering, net of underwriting discounts and commissions Proceeds from Issuance Initial Public Offering Redeemable Convertible Preferred Stock (as converted) Redeemable Convertible Preferred Stock [Member] Restatement Determination Date: Restatement Determination Date [Axis] Proceeds from the exercise of stock options Proceeds from Stock Options Exercised Interest income Investment Income, Interest Fractional awards exchanged for cash upon stock split (in usd per share) Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exchanged For Cash Upon Stock Split, Weighted Average Exercise Price Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Exchanged For Cash Upon Stock Split, Weighted Average Exercise Price Derivative Instruments and Hedging Activities Disclosures [Line Items] Derivative Instruments and Hedging Activities Disclosures [Line Items] Fed Funds Effective Rate Overnight Index Swap Rate Fed Funds Effective Rate Overnight Index Swap Rate [Member] Interest Expense, Net Interest Expense, Policy [Policy Text Block] Liftoff Inc. Employee Stock Purchase Plan Liftoff Inc. Employee Stock Purchase Plan [Member] Liftoff Inc. Employee Stock Purchase Plan Variable weighted average closing stock price measurement period Share-Based Compensation Arrangement By Share-Based Payment Award, Variable Weighted Average Closing Stock Price Measurement Period Share-Based Compensation Arrangement By Share-Based Payment Award, Variable Weighted Average Closing Stock Price Measurement Period Forfeited (in shares) Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Forfeitures Pension Benefits Adjustments, Footnote Pension Benefits Adjustments, Footnote [Text Block] Numerator: Net Income (Loss) Available to Common Stockholders, Diluted [Abstract] Derivative Instruments and Hedging Activities Disclosure [Abstract]