Document and Entity Information [Abstract] Document Type Document Quarterly Report Document Transition Report Document Period End Date Securities Act File Number Entity Registrant Name Entity Incorporation, State or Country Code Entity Tax Identification Number Entity Address, State or Province Entity Address, Address Line One Entity Address, Address Line Two Entity Address, City or Town Entity Address, Postal Zip Code City Area Code Local Phone Number Title of 12(b) Security Trading Symbol Security Exchange Name Entity Current Reporting Status Entity Interactive Data Current Entity Filer Category Entity Small Business Entity Emerging Growth Company Entity Ex Transition Period Entity Shell Company Entity Common Stock, Shares Outstanding Entity Central Index Key Current Fiscal Year End Date Document Fiscal Year Focus Document Fiscal Period Focus Amendment Flag BALANCE SHEETS Liabilities and Equity [Abstract] Liabilities and Stockholder's Deficit Liabilities [Abstract] Liabilities Accrued Liabilities Accrued expenses Liabilities Total Liabilities Equity, Attributable to Parent [Abstract] Stockholder's Deficit: Additional Paid in Capital Additional paid-in capital Common Stock, Value, Issued One share of Common Stock, $0.0001 par value; 1,000 shares authorized; 1 share issued and outstanding as of June 30, 2024 and December 31, 2023 Retained Earnings (Accumulated Deficit) Accumulated deficit Equity, Attributable to Parent Balance - ending Balance - beginning Total stockholder's deficit Liabilities and Equity Total Liabilities and Stockholder's Deficit Common Stock, Par or Stated Value Per Share Common shares par value Common Stock, Shares Authorized Common shares authorized Common Stock, Shares, Issued Balance - ending (in shares) Balance - beginning (in shares) Common shares issued Number of shares of common stock outstanding before business combination. Common Stock Shares Outstanding Before Business Combination Common shares outstanding STATEMENTS OF OPERATIONS The amount of open market subscription agreement expense during the period. Open Market Subscription Agreement Expense Subscription Agreement expense Net loss Net loss Weighted Average Number of Shares Outstanding, Basic Weighted-average shares outstanding, basic (shares) Weighted Average Number of Shares Outstanding, Diluted Weighted-average shares outstanding, diluted (shares) Earnings Per Share, Basic Net loss per share of common stock, basic (in dollar per share) Earnings Per Share, Diluted Net loss per share of common stock, diluted (in dollar per share) STATEMENT OF CHANGES IN STOCKHOLDER'S DEFICIT Statement [Table] Equity Components [Axis] Equity Component [Domain] Common Stock [Member] Common Stock Additional Paid-in Capital [Member] Additional Paid-In Capital Retained Earnings [Member] Accumulated Deficit Statement [Line Items] STATEMENT OF CHANGES IN STOCKHOLDER'S DEFICIT Amount of decrease (increase) in additional paid in capital (APIC) for the open market subscription agreement expense. Adjustments to Additional Paid in Capital, Open Market Subscription Agreement Expense Subscription Agreement expense STATEMENT OF CASH FLOWS Net Cash Provided by (Used in) Operating Activities [Abstract] Cash flows from operating activities: Net Income (Loss), Including Portion Attributable to Noncontrolling Interest Net loss Adjustments to Reconcile Net Income (Loss) to Cash Provided by (Used in) Operating Activities [Abstract] Adjustment to reconcile net loss to net cash used in operating activities: The amount of subscription agreement expenses during the period. Subscription Agreement Expense Subscription Agreement expense Net Cash Provided by (Used in) Operating Activities Net cash used in operating activities Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Period Increase (Decrease), Including Exchange Rate Effect Net change in cash Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents Cash - end of the period Cash - beginning of the period Description of Organization and Business Operations Organization, Consolidation, Basis of Presentation, Business Description and Accounting Policies [Text Block] Description of Organization and Business Operations Summary of Significant Accounting Policies Basis of Presentation and Significant Accounting Policies [Text Block] Summary of Significant Accounting Policies Stockholder's Deficit Equity [Text Block] Stockholder's Deficit Commitments and Contingencies Commitments and Contingencies Disclosure [Text Block] Commitments and Contingencies Fair Value Measurements Fair Value Disclosures [Text Block] Fair Value Measurements Subsequent Events Subsequent Events [Text Block] Subsequent Events Basis of Accounting, Policy [Policy Text Block] Basis of Presentation Disclosure of policy related to emerging growth company. Emerging Growth Policy [Policy Text Block] Emerging Growth Company Use of Estimates, Policy [Policy Text Block] Use of Estimates Fair Value of Financial Instruments, Policy [Policy Text Block] Financial Instruments Fair Value Measurement, Policy [Policy Text Block] Fair Value Measurements Income Tax, Policy [Policy Text Block] Income Taxes Earnings Per Share, Policy [Policy Text Block] Net (Loss) Per Common Stock New Accounting Pronouncements, Policy [Policy Text Block] Recent Accounting Standards Fair Value Measurement Inputs and Valuation Techniques [Table] Related Party Transaction [Axis] Related Party Transaction [Domain] Represents the information pertaining to Non-Redemption Subscription Agreement. Non-Redemption Subscription Agreement [Member] Non-Redemption Subscription Agreement Fair Value Measurement Inputs and Valuation Techniques [Line Items] Fair Value Measurements Fair Value Measurement Inputs and Valuation Techniques [Table Text Block] Schedule of fair value measurements Unrecognized Tax Benefits Unrecognized tax benefits Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued Amount accrued for payment of interest Schedule of Business Acquisitions, by Acquisition [Table] Business Acquisition [Axis] Business Acquisition, Acquiree [Domain] Represents information pertaining to Proposed Adagio Business Combination Proposed Adagio Business Combination [Member] Proposed Adagio Business Combination Consolidated Entities [Axis] Consolidated Entities [Axis] Consolidated Entities [Domain] Consolidated Entities [Domain] Parent Company [Member] Parent Class of Stock [Axis] Class of Stock [Axis] Class of Stock [Domain] Class of Stock [Domain] Common Class A [Member] Class A common stock Common Class B [Member] Class B common stock Legal Entity [Axis] Legal Entity [Axis] All Entities [Member] Entity [Domain] Represents the information pertaining to Arya Sciences Acquisition Corp IV. Arya Sciences Acquisition Corp IV [Member] the Parent Represents the information pertaining to Adagio Medical, Inc. Adagio Medical, Inc. [Member] Adagio Related and Nonrelated Parties [Axis] Related and Nonrelated Parties [Domain] Investor [Member] Sponsor Business Acquisition [Line Items] Commitments and Contingencies The number of common shares in exchange for each share in conversion. Number of Common Shares in Exchange for Each Share in Conversion Number of shares in exchange for each share in conversion The number of shares that will be forfeited by sponsor. Number of Shares Will be Forfeited by Sponsor Number of shares will be forfeited by sponsor The number of shares issuable to sponsor subject to share trigger price vesting. Number of Shares Issuable to Sponsor Subject to Share Trigger Price Vesting Number of shares issuable to sponsor The minimum post-closing share price as trigger. Minimum Post Closing Share Price As Trigger Stock trigger price Threshold number of specified trading days that common stock price must exceed threshold price within a specified consecutive trading period to trigger the vesting shares. Business Combination, Share Price Vesting, Threshold Trading Days Threshold trading days Threshold period of specified consecutive trading days within which common stock price must exceed threshold price for specified number of trading days to trigger the vesting of shares. Business Combination, Share Price Vesting, Threshold Consecutive Trading Days Threshold consecutive trading days Preferred Stock, Par or Stated Value Per Share Preferred stock par value The amount of consideration for automatically canceled and extinguished equity awards other than an In-the-Money Adagio Option. Consideration for Automatically Canceled and Extinguished Equity Awards Consideration for automatically canceled and extinguished equity awards The percentage used as numerator in calculation of quotient for deriving key employee incentive maximum amount Aggregate Share Reserve, Key Employee Incentive Plan Maximum Amount, Numerator Percent for Quotient Calculation Key employee incentive plan numerator percent for quotient The percentage used as denominator in calculation of quotient for deriving key employee incentive maximum amount. Aggregate Share Reserve, Key Employee Incentive Plan Maximum Amount, Denominator Percent for Quotient Calculation Key employee incentive plan denominator percent for quotient The percentage used as numerator in calculation of quotient for deriving incentive equity plan maximum amount. Aggregate Share Reserve, Incentive Equity Plan Maximum Amount, Numerator Percent for Quotient Calculation Incentive equity plan maximum amount numerator percent for quotient The percentage used as denominator in calculation of quotient for deriving incentive equity plan maximum amount. Aggregate Share Reserve, Incentive Equity Plan Maximum Amount, Denominator Percent for Quotient Calculation Incentive equity plan maximum amount, denominator percent for quotient The percentage used as denominator in calculation of quotient for deriving aggregate HoldCo shares reserve. Aggregate HoldCo Share Reserve, Denominator Percent for Quotient Calculation Aggregate HoldCo share reserve, denominator percent for quotient Related Party Transaction [Table] Represents information pertaining to PIPE investors. PIPE Investors [Member] PIPE Investors Represents the information pertaining to Perceptive PIPE Investors. Perceptive PIPE Investor [Member] Perceptive PIPE Investor Represents the information pertaining to Bridge Financing Notes. Bridge Financing Notes [Member] Bridge Financing Notes Subsequent Event Type [Axis] Subsequent Event Type [Domain] Subsequent Event [Member] Subsequent events Related Party Transaction [Line Items] Commitments and Contingencies Amount of financing commitment from PIPE investors. Amount of Financing Commitment Financing amount The commitment to purchase value of shares. Commitment to Purchase Value of Shares Commitment to purchase value of shares Share Price Share Price The number of shares agreed not to redeem. Number of Shares Agreed Not to Redeem Number of shares agreed not to redeem The value of convertible notes purchased by investor. Value of Convertible Notes Purchased By Investor Value of convertible notes purchased The amount of additional cash investment by investor. Additional Cash Investment By Investor Additional cash investment by investor Class of Warrant or Right, Exercise Price of Warrants or Rights Exercise price per share or per unit of warrants Stock Issued During Period, Value, New Issues Value of new stock issued during the period Stock Issued During Period, Shares, New Issues Number of stock issued Debt Instrument [Axis] Debt Instrument, Name [Domain] Represents information pertaining to Convertible Security Financing Convertible Security Financing [Member] Convertible Security Financing Represents information pertaining to new adagio convertible notes New Adagio Convertible Notes [Member] New Adagio Convertible Notes Debt Instrument, Face Amount Financing amount Debt Instrument, Interest Rate, Stated Percentage Financing rate Class of Warrant or Right, Number of Securities Called by Warrants or Rights Number of warrants of non-redeeming subscription agreement Long-Term Purchase Commitment, Amount Amount agreed to spend under the long-term purchase Debt Instrument, Convertible, Conversion Price Conversion price The number of warrants in exchange for conversion of debt. Debt Instrument, Number of Warrants on Conversion Number of warrants on conversion The cash price per share of the conversion feature embedded in the debt instrument. Debt Instrument, Convertible Cash Price Cash price per share Debt Instrument, Term Maturity period Convertible Notes Payable Convertible promissory note The conversion of financing commitment contingent upon available cash. Conversion of Financing Commitment Contingent Upon Available Cash Conversion of financing commitment contingent upon available cash Represents information pertaining to New Adagio. New Adagio [Member] New Adagio Sale of Stock [Axis] Sale of Stock [Domain] Represents information pertaining to concurrent equity and warrant private placement bridge financing. Concurrent Equity and Warrant Private Placement Bridge Financing [Member] Concurrent equity and warrant private placement bridge financing Represents information pertaining to concurrent convertible security bridge financing. Concurrent Convertible Security Bridge Financing [Member] Concurrent convertible security bridge financing Amount of proceeds raised through financing in connection with business combination. Proceeds From Financing Proceeds from financing Fair Value Hierarchy and NAV [Axis] Fair Value Hierarchy and NAV [Domain] Fair Value, Inputs, Level 3 [Member] Level 3 Measurement Input Type [Axis] Measurement Input Type [Domain] Measurement Input, Share Price [Member] Base Share Price Measurement input using adjusted per share calculated using purchase price ratio. Measurement Input, Adjusted Per Share [Member] Adjusted per Share Measurement input using adjusted share price. Measurement Input, Adjusted Share Price [Member] Adjusted Share price Measurement input using probability of closing. Measurement Input, Probability Of Closing [Member] Probability of Closing Measurement input using estimated fair value per share at closing. Measurement Input, Estimated Fair Value Per Share [Member] Estimated fair value per Share at Closing Represents the own equity, common stock measurement input. Represents the own equity, common stock measurement input. Own equity measurement input The multiplying factor of purchase price for adjusted price per share. Multiplying Factor of Purchase Price for Adjusted Price Per Share Multiplying factor of purchase price for adjusted price per share Measurement Input, Exercise Price [Member] Strike price, as defined in Subscription Agreement Measurement Input, Expected Term [Member] Term (Months) Measurement Input, Price Volatility [Member] Average volatility rate Measurement input using expected price per warrant. Measurement Input, Expected Price Per Warrant [Member] Estimated expected Warrant price Measurement input using estimated fair value per warrant. Measurement Input, Estimated Fair Value Per Warrant [Member] Estimated fair value per Warrant at Closing Warrants and Rights Outstanding, Measurement Input Warrants, Measurement Input The multiplying factor of coverage ratio for estimated fair value per warrant. Multiplying Factor of Coverage Ratio for Estimated Fair Value Per Warrant Multiplying factor of coverage ratio for estimated fair value per warrant The estimated number of own equity, common stock issuable. Estimated Number of Own Equity, Common Stock Issuable Estimated number of new Adagio common stock shares issuable The estimated number of own equity, base warrants issuable. Estimated Number of Own Equity, Base Warrants Issuable Estimated number of base warrants issuable The amount of non-redemption subscription agreement expense during the period. Non-Redemption Subscription Agreement Expense Non-Redemption Subscription Agreement expense