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Stock-Based Compensation (Detail) (USD $)
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Aug. 31, 2008
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Common stock authorized (in shares) 200,000,000us-gaap_CommonStockSharesAuthorized       200,000,000us-gaap_CommonStockSharesAuthorized       200,000,000us-gaap_CommonStockSharesAuthorized 200,000,000us-gaap_CommonStockSharesAuthorized    
Common stock, par value per share (in dollars per share) $ 0.0001us-gaap_CommonStockParOrStatedValuePerShare       $ 0.0001us-gaap_CommonStockParOrStatedValuePerShare       $ 0.0001us-gaap_CommonStockParOrStatedValuePerShare $ 0.0001us-gaap_CommonStockParOrStatedValuePerShare    
Preferred shares authorized (in shares) 10,000,000us-gaap_PreferredStockSharesAuthorized               10,000,000us-gaap_PreferredStockSharesAuthorized      
Preferred stock par value per share (in dollars per share) $ 0.0001us-gaap_PreferredStockParOrStatedValuePerShare               $ 0.0001us-gaap_PreferredStockParOrStatedValuePerShare      
Additional shares of common stock reserved for issuance under the 2011 Plan (in shares)                 1,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized      
Aggregate intrinsic value of stock options exercised                 $ 7,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 13,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 23,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue  
Total fair value of stock options vested                 6,200,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 9,100,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 8,500,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1  
Total fair value of RSUs vested                 13,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue 6,600,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue 1,600,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue  
Shares withheld for tax withholdings (in shares)                 325,292us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation 45,338us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation    
Total payments for the employees’ minimum tax obligations to taxing authorities                 4,928,000us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation 756,000us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation 0us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation  
Stock-based compensation expense 4,302,000us-gaap_AllocatedShareBasedCompensationExpense 4,486,000us-gaap_AllocatedShareBasedCompensationExpense 5,065,000us-gaap_AllocatedShareBasedCompensationExpense 3,803,000us-gaap_AllocatedShareBasedCompensationExpense 4,033,000us-gaap_AllocatedShareBasedCompensationExpense 3,895,000us-gaap_AllocatedShareBasedCompensationExpense 4,478,000us-gaap_AllocatedShareBasedCompensationExpense 3,708,000us-gaap_AllocatedShareBasedCompensationExpense        
Restricted stock units granted under equity award plans (in shares)                 1,550,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod      
Stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Stock-based compensation expense                 5,400,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
8,500,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
7,900,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Unrecognized compensation cost related to unvested equity awards 4,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
              4,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
     
Weighted-average service period of unrecognized compensation cost related to unvested equity awards                 1 year 6 months 0 days      
Non-employee stock-based compensation expense                 0us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
200,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
300,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Restricted stock                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Stock-based compensation expense                 11,600,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
6,900,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
2,000,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
 
Unrecognized compensation cost related to unvested equity awards 29,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
              29,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
     
Weighted-average service period of unrecognized compensation cost related to unvested equity awards                 2 years 8 months 0 days      
Non-employee stock-based compensation expense                 0us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
200,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
300,000us-gaap_IssuanceOfStockAndWarrantsForServicesOrClaims
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
 
Performance-based restricted stock units with a market condition                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
PBRSUs granted (in shares)                 200,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
175,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Stock-based compensation expense                 $ 800,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
$ 400,000us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
$ 0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
 
2011 and 2008 Plan | Stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Grant Exercise Price, Percent of Fair Value                 100.00%rpxc_SharebasedCompensationArrangementbySharebasedPaymentAwardGrantExercisePricePercentofFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
     
2011 and 2008 Plan | Incentive stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Grant Exercise Price, Percent of Fair Value                 110.00%rpxc_SharebasedCompensationArrangementbySharebasedPaymentAwardGrantExercisePricePercentofFairValue
/ us-gaap_AwardTypeAxis
= rpxc_IncentivestockoptionsMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
     
Share-based Compensation Arrangement by Share-based Payment Award, Amount of Options Owned, Percent                 10.00%rpxc_SharebasedCompensationArrangementbySharebasedPaymentAwardAmountofOptionsOwnedPercent
/ us-gaap_AwardTypeAxis
= rpxc_IncentivestockoptionsMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
     
2011 and 2008 Plan | Performance-based restricted stock units with a market condition                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Threshold Days                 90 days      
Share-based Compensation Arrangement by Share-based Payment Award, Price per Share on Grant Date Multiplier                 1.25rpxc_SharebasedCompensationArrangementbySharebasedPaymentAwardPriceperShareonGrantDateMultiplier
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
     
2011 Plan                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Common stock reserved for future issuance (in shares) 2,685,154us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_PlanNameAxis
= rpxc_A2011PlanMember
              2,685,154us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_PlanNameAxis
= rpxc_A2011PlanMember
  1,500,000us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_PlanNameAxis
= rpxc_A2011PlanMember
 
Additional shares of common stock reserved for issuance under the 2011 Plan (in shares)                 1,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized
/ us-gaap_PlanNameAxis
= rpxc_A2011PlanMember
     
2008 Plan                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Common stock reserved for future issuance (in shares)                       9,019,474us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_PlanNameAxis
= rpxc_A2008PlanMember
Newly hired employees | 2011 and 2008 Plan | Stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage                 25.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
/ us-gaap_TitleOfIndividualAxis
= rpxc_NewlyhiredemployeesMember
     
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period                 36 months      
Newly hired employees | 2011 and 2008 Plan | Restricted stock                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage                 25.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
/ us-gaap_TitleOfIndividualAxis
= rpxc_NewlyhiredemployeesMember
     
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period                 3 years      
Existing employees | 2011 and 2008 Plan | Stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period                 48 months      
Existing employees | 2011 and 2008 Plan | Restricted stock                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period                 4 years      
Existing employees | 2011 and 2008 Plan | Performance-based restricted stock units with a market condition                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage                 25.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_PlanNameAxis
= rpxc_A2011and2008PlanMember
/ us-gaap_TitleOfIndividualAxis
= rpxc_ExistingemployeesMember
     
Maximum | 2011 and 2008 Plan | Stock options                        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Share-based Compensation Arrangement by Share-based Payment Award, Stock Options Exercise Period                 10 years