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Stock Incentive Compensation and Employee Benefit Plans (Narrative) (Details) (USD $)
12 Months Ended 81 Months Ended 0 Months Ended 1 Months Ended 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
May 20, 2014
Jul. 01, 2013
May 31, 2010
D
Dec. 31, 2010
Aug. 31, 2004
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Number of shares available for grant 3,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant              
Total fair value of shares and share units vested $ 48,700,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue $ 47,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue $ 43,300,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue          
Cash received from exercises of stock options during the period 500,000us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions 1,600,000us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions 900,000us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions          
Excess windfall tax benefit realized by the Company due to its net operating loss position in the taxable jurisdictions in which it operates 0us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities              
Total stock compensation expense recognized 37,600,000us-gaap_ShareBasedCompensation 43,400,000us-gaap_ShareBasedCompensation 38,400,000us-gaap_ShareBasedCompensation          
Contributions to defined contribution pension plans 3,600,000us-gaap_DefinedContributionPlanCostRecognized 3,500,000us-gaap_DefinedContributionPlanCostRecognized 3,400,000us-gaap_DefinedContributionPlanCostRecognized          
Premium Option Plan                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock incentive compensation, vesting period       5 years        
Shares reserved for issuance under Premium Option Plan               6,000,000.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= rnr_PremiumOptionPlanMember
Minimum strike price as a percentage of market value on grant date       150.00%rnr_ShareBasedCompensationByShareBasedPaymentAwardOptionsMinimumStrikePriceAsPercentageOfMarketValueOnGrantDate
/ us-gaap_PlanNameAxis
= rnr_PremiumOptionPlanMember
       
Performance Shares                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock incentive compensation, vesting period         4 years 3 years    
Number of shares available for grant           750,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= us-gaap_PerformanceSharesMember
   
Percentage of annual equity incentive award grants, subject to vesting conditions           25.00%rnr_PercentageOfAnnualEquityIncentiveSubjectToVestingConditions
/ us-gaap_PlanNameAxis
= us-gaap_PerformanceSharesMember
   
Vesting maximum as a percentage of target if performance goal are achieved         250.00%rnr_VestingMaximumAsPercentageOfTargetIfPerformanceGoalsAreAchieved
/ us-gaap_PlanNameAxis
= us-gaap_PerformanceSharesMember
250.00%rnr_VestingMaximumAsPercentageOfTargetIfPerformanceGoalsAreAchieved
/ us-gaap_PlanNameAxis
= us-gaap_PerformanceSharesMember
   
Period for average closing share price to determine total shareholder return           20rnr_ComparativePeriodforPerformanceAward
/ us-gaap_PlanNameAxis
= us-gaap_PerformanceSharesMember
   
Employee Stock Option | 2001 Stock Incentive Plans and Nonemployee Directors                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock incentive compensation, vesting period 4 years              
Share-based payment award, Expiration period 10 years              
Restricted Stock Units (RSUs)                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized compensation costs related to restricted stock awards 21,600,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
             
Periods for recognition of compensation costs not yet recognized 1 year 7 months 6 days              
Cash Settled Restricted Stock Unit (CSRSUs)                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock incentive compensation, vesting period             4 years  
Number of shares available for grant             900,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= rnr_CashSettledRestrictedStockUnitMember
 
Expected forfeiture rate 11.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= rnr_CashSettledRestrictedStockUnitMember
13.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= rnr_CashSettledRestrictedStockUnitMember
           
Performance Shares                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Expected forfeiture rate 0.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
0.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
           
Unrecognized compensation costs related to restricted stock awards 4,300,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
             
Periods for recognition of compensation costs not yet recognized 1 year 10 months 24 days              
Restricted Stock                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Expected forfeiture rate 2.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
2.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
           
Unrecognized compensation costs related to restricted stock awards $ 30,700,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
             
Periods for recognition of compensation costs not yet recognized 1 year 9 months 18 days              
Restricted Stock | 2001 Stock Incentive Plans and Nonemployee Directors                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock incentive compensation, vesting period 4 years