v3.25.2
Document and Entity Information - shares
 6 Months Ended
Jun. 30, 2025
Aug. 11, 2025
Document and Entity Information [Abstract]    
Document Type 10-Q  
Document Quarterly Report true  
Document Transition Report false  
Document Period End Date Jun. 30, 2025  
Securities Act File Number 001-42199  
Entity Registrant Name ADAGIO MEDICAL HOLDINGS, INC.  
Entity Incorporation, State or Country Code DE  
Entity Tax Identification Number 99-1151466  
Entity Address, State or Province CA  
Entity Address, Address Line One 26051 Merit Circle  
Entity Address, Address Line Two Suite 102  
Entity Address, City or Town Laguna Hills  
Entity Address, Postal Zip Code 92653  
City Area Code 949  
Local Phone Number 348-1188  
Title of 12(b) Security Common Stock, par value $0.0001per share  
Trading Symbol ADGM  
Security Exchange Name NASDAQ  
Entity Current Reporting Status Yes  
Entity Interactive Data Current Yes  
Entity Filer Category Non-accelerated Filer  
Entity Small Business true  
Entity Emerging Growth Company true  
Entity Ex Transition Period false  
Entity Shell Company false  
Entity Common Stock, Shares Outstanding   15,381,565
Entity Central Index Key 0002006986  
Current Fiscal Year End Date --12-31  
Document Fiscal Year Focus 2025  
Document Fiscal Period Focus Q2  
Amendment Flag false