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Convertible Preferred Stock and Stockholders' Equity (Deficit) - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jun. 19, 2020
Dec. 31, 2020
Sep. 30, 2020
Jun. 17, 2020
Dec. 31, 2019
Dec. 31, 2018
Class Of Stock [Line Items]            
Convertible preferred stock, shares outstanding   0     207,164,000  
Common stock, shares issued   52,117,000     9,073,000  
Payment to several nonaccredited investors   $ 0.1        
2020 Stock Option and Incentive Plan            
Class Of Stock [Line Items]            
Common stock reserved for issuance   772,000   2,930,836    
Convertible Preferred Stock            
Class Of Stock [Line Items]            
Convertible preferred stock, shares outstanding   0     207,164,000 207,164,000
Common Stock            
Class Of Stock [Line Items]            
Conversion of Compass Therapeutics LLC preferred shares into common shares upon consummation of the reverse merger, Shares   30,630,000        
Shares of common stock sold   12,096,000        
Purchase price per share   $ 5.00 $ 5.00      
Common Stock | Private Placement Offering            
Class Of Stock [Line Items]            
Shares of common stock sold 12,096,442          
Purchase price per share $ 5.00          
Common Stock | Olivia Ventures Inc            
Class Of Stock [Line Items]            
Common stock, shares issued   1,000,000        
Common Stock | 2020 Stock Option and Incentive Plan            
Class Of Stock [Line Items]            
Common stock reserved for issuance   2,900,000