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Share-Based Compensation - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
1 Months Ended 12 Months Ended 3 Months Ended
May 31, 2014
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 31, 2014
Amended and Restated 2012 Long Term Incentive Plan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Grant period   10 years      
Number of Additional Shares Authorized 2,900,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
       
Authorized shares for issuance   5,550,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
     
Number of stock options granted to employees   720,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
1,978,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
   
Vesting period   4 years      
Number of shares available for grant   2,868,676us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
     
Options outstanding   2,612,080us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
1,973,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
   
Weighted average exercise price   $ 13.13us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
$ 7.50us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
   
Unearned Share-based Compensation expected to be expensed through 2017, Stock Options   $ 16.0us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions
/ us-gaap_PlanNameAxis
= prta_TwoThousandTwelveLongTermIncentivePlanMember
     
Expected Recognition Period of Unearned Share-based Compensation   2 years 6 months 29 days      
Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Grant period       10 years  
Restricted stock units [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Fair value of related costs being expensed       0.5prta_FairValueofRestrictedStockUnitsCostsBeingExpensedOverTheVestingTermOfOptions
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ us-gaap_PlanNameAxis
= prta_ElanMember
 
Restricted stock units [Member] | Minimum [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Vesting period         1 year
Restricted stock units [Member] | Maximum [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Vesting period         3 years
Stock Option [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Intrinsic value of options exercised   1.5us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_CommonStockMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
/ us-gaap_AwardTypeAxis
= us-gaap_CommonStockMember
   
Tax benefit realized from exercise of stock options   $ 1.0us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_CommonStockMember
$ 0.4us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_CommonStockMember
0us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions
/ us-gaap_AwardTypeAxis
= us-gaap_CommonStockMember
 
Stock Option [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Grant period         10 years
Stock Option [Member] | Minimum [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Vesting period         1 year
Stock Option [Member] | Maximum [Member] | Elan [Member]          
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]          
Vesting period         4 years