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Income Taxes (Details) - USD ($)
5 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Income Taxes    
Effective tax rate for the company's operations 2.40%  
Net operating loss not subject to expiration   $ 81,000,000
R & D tax credit $ 1,604,000 1,604,000
Federal    
Income Taxes    
Net operating loss carryforwards 122,300,000 100,000,000
Net operating loss subject to expiration 19,000,000  
Net operating loss not subject to expiration 103,300,000  
R & D tax credit 1,600,000 1,600,000
State    
Income Taxes    
Net operating loss carryforwards 53,400,000 53,400,000
Adagio Medical GmbH    
Income Taxes    
Net operating loss carryforwards $ 180,200,000 $ 249,300