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Fair value of financial instruments - Recurring Basis Unobservable (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Dec. 31, 2020
Valuation Technique and Input, Description [Abstract]      
Contingent consideration liability (Note 4), net of current portion $ 6,260   $ 6,984
Warrant liability 2,360   $ 490
Contingent consideration - Long term portion | Series D Redeemable Convertible Preferred Stock      
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance, beginning of period 6,984 $ 8,139  
Contingent consideration paid   (171)  
Reclassification of FY 2020 payment to accrued expenses (1,150) (1,590)  
Change in fair value 426 (1,474)  
Balance, end of period $ 6,260 4,904  
Difference between the amount paid and the amount included in accrued expenses   87  
Contingent consideration - Long term portion | Series D Redeemable Convertible Preferred Stock | Discounted Cash Flow Analysis under the Income Approach      
Valuation Technique and Input, Description [Abstract]      
Valuation Technique Discounted Cash Flow Analysis under the Income Approach    
Contingent consideration - Long term portion | Series D Redeemable Convertible Preferred Stock | Measurement Input, Discount Rate      
Valuation Technique and Input, Description [Abstract]      
Unobservable Inputs us-gaap:MeasurementInputDiscountRateMember akya:RevenueDiscountFactorMember    
Warrant liability | Series D Redeemable Convertible Preferred Stock      
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]      
Balance, beginning of period $ 490 192  
Change in fair value 1,870 0  
Balance, end of period 2,360 $ 192  
Valuation Technique and Input, Description [Abstract]      
Warrant liability $ 2,360    
Shares called by warrant 368,780    
Warrant liability | Series D Redeemable Convertible Preferred Stock | Black Scholes Option Pricing Model      
Valuation Technique and Input, Description [Abstract]      
Valuation Technique Black Scholes Option Pricing Model    
Warrant liability | Series D Redeemable Convertible Preferred Stock | Measurement Input, Price Volatility      
Valuation Technique and Input, Description [Abstract]      
Unobservable Inputs us-gaap:MeasurementInputPriceVolatilityMember us-gaap:MeasurementInputExpectedTermMember us-gaap:MeasurementInputRiskFreeInterestRateMember