Annual report pursuant to Section 13 and 15(d)

Stock-based Compensation - Additional Information (Detail)

v2.4.1.9
Stock-based Compensation - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended 1 Months Ended 11 Months Ended 0 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Jan. 31, 2014
Dec. 31, 2014
Aug. 24, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation expense $ 37.1us-gaap_AllocatedShareBasedCompensationExpense $ 29.7us-gaap_AllocatedShareBasedCompensationExpense $ 18.2us-gaap_AllocatedShareBasedCompensationExpense      
Tax benefit related to stock-based compensation expense 14.0us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 11.2us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 6.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense      
Unrecognized compensation cost 57.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized       57.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized  
Unrecognized non-vested stock awards recognition period 2 years          
Cash proceeds from stock-based compensation arrangements 9.9us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 10.6us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 12.1us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions      
Aggregate intrinsic value of stock options $ 8.5us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 23.3us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 42.7us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue      
Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period 4 years     3 years 9 months 3 years  
Expiration period from grant date 10 years          
Percentage of stock options to be vested       75.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Percentage of stock options to be vested during remaining period       25.00%rp_PercentageOfStockOptionsToBeVestedRemainingPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Time Based Restricted Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period       4 years 3 years  
Performance Based Restricted Stock | Restricted Stock | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period 1 year          
Performance Based Restricted Stock | Restricted Stock | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period 2 years          
Common Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options granted 22,134,259us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
22,580,741us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
    22,134,259us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
 
Vested Quarterly Over One Year | Market Based Restricted Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period 1 year          
Multifamily Technology Solutions, Inc [Member] | Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options granted           349,693us-gaap_CommonStockCapitalSharesReservedForFutureIssuance
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_BusinessAcquisitionAxis
= rp_MultifamilyTechnologySolutionsIncMember
Number of Employees           96rp_NumberofEmployees
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_BusinessAcquisitionAxis
= rp_MultifamilyTechnologySolutionsIncMember
Stock options vesting period           10 years
Multifamily Technology Solutions, Inc [Member] | Vesting period 1 | Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period           4 years
Percentage of stock options to be vested           25.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_BusinessAcquisitionAxis
= rp_MultifamilyTechnologySolutionsIncMember
/ us-gaap_VestingAxis
= us-gaap_ShareBasedCompensationAwardTrancheOneMember
Multifamily Technology Solutions, Inc [Member] | Vesting period 2 | Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period           1 year
Percentage of stock options to be vested           20.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
/ us-gaap_BusinessAcquisitionAxis
= rp_MultifamilyTechnologySolutionsIncMember
/ us-gaap_VestingAxis
= us-gaap_ShareBasedCompensationAwardTrancheTwoMember
Multifamily Technology Solutions, Inc [Member] | Vesting period 3 | Stock Option            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock options vesting period           4 years