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Shareholders' Equity (Narrative) (Details) (USD $)
1 Months Ended 3 Months Ended 12 Months Ended 0 Months Ended 1 Months Ended 0 Months Ended 1 Months Ended
May 31, 2013
Dec. 31, 2014
director
period
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
director
period
Dec. 31, 2013
Dec. 31, 2012
Dec. 15, 2014
Sep. 15, 2014
Jun. 13, 2014
Mar. 14, 2014
Jun. 27, 2013
Mar. 31, 2004
Dec. 27, 2012
Dec. 31, 2006
Nov. 13, 2014
Mar. 23, 2009
Class of Stock [Line Items]                                            
Aggregate authorized shares   325,000,000rnr_StockSharesAuthorized               325,000,000rnr_StockSharesAuthorized                        
Authorized common shares   225,000,000us-gaap_CommonStockSharesAuthorized               225,000,000us-gaap_CommonStockSharesAuthorized                        
Authorized preference shares   100,000,000us-gaap_PreferredStockSharesAuthorized               100,000,000us-gaap_PreferredStockSharesAuthorized                        
Dividends declared, Per common share                   $ 1.16us-gaap_CommonStockDividendsPerShareDeclared $ 1.12us-gaap_CommonStockDividendsPerShareDeclared $ 1.08us-gaap_CommonStockDividendsPerShareDeclared                    
Preference Shares, Par Value (In dollars per share)   $ 1us-gaap_PreferredStockParOrStatedValuePerShare       $ 1us-gaap_PreferredStockParOrStatedValuePerShare       $ 1us-gaap_PreferredStockParOrStatedValuePerShare $ 1us-gaap_PreferredStockParOrStatedValuePerShare                      
Preference shares, Issuance costs $ 9,144,000us-gaap_AdjustmentsToAdditionalPaidInCapitalStockIssuedIssuanceCosts                                          
Preference shares, Shares outstanding   16,000,000us-gaap_PreferredStockSharesOutstanding       16,000,000us-gaap_PreferredStockSharesOutstanding       16,000,000us-gaap_PreferredStockSharesOutstanding 16,000,000us-gaap_PreferredStockSharesOutstanding                      
Preference shares, Amount of preferred dividends in arrears, equivalent number of periods, trigger   6rnr_PreferredStockAmountOfPreferredDividendsInArrearsEquivalentNumberOfPeriodsTrigger               6rnr_PreferredStockAmountOfPreferredDividendsInArrearsEquivalentNumberOfPeriodsTrigger                        
Preference shares, Preferred stock dividends in arrears, triggered shareholder election right, number of directors   2rnr_PreferredStockPreferredStockDividendsInArrearsTriggeredShareholderElectionRightNumberOfDirectors               2rnr_PreferredStockPreferredStockDividendsInArrearsTriggeredShareholderElectionRightNumberOfDirectors                        
Preference shares, Dividends declared and paid   5,595,000us-gaap_DividendsPreferredStock 5,595,000us-gaap_DividendsPreferredStock 5,596,000us-gaap_DividendsPreferredStock 5,595,000us-gaap_DividendsPreferredStock 5,595,000us-gaap_DividendsPreferredStock 5,595,000us-gaap_DividendsPreferredStock 7,483,000us-gaap_DividendsPreferredStock 6,275,000us-gaap_DividendsPreferredStock 22,381,000us-gaap_DividendsPreferredStock 24,948,000us-gaap_DividendsPreferredStock 34,895,000us-gaap_DividendsPreferredStock                    
Common stock                                            
Class of Stock [Line Items]                                            
Repurchase of shares                   5,355,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
2,451,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
6,399,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
                   
Common shares repurchased during period, Aggregate value                   (5,355,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
(2,451,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
(6,399,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
                   
Retained earnings                                            
Class of Stock [Line Items]                                            
Dividends, Common Stock                   45,912,000us-gaap_DividendsCommonStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
49,267,000us-gaap_DividendsCommonStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
53,356,000us-gaap_DividendsCommonStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
                   
Common shares repurchased during period, Aggregate value                   (497,175,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(203,703,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
(460,647,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
                   
Preference shares, Dividends declared and paid                   22,381,000us-gaap_DividendsPreferredStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
24,948,000us-gaap_DividendsPreferredStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
34,895,000us-gaap_DividendsPreferredStock
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_RetainedEarningsMember
                   
Common stock                                            
Class of Stock [Line Items]                                            
Dividends declared, Per common share                         $ 0.29us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareDeclared
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
           
Dividends paid, Per common share                         $ 0.29us-gaap_CommonStockDividendsPerShareCashPaid
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareCashPaid
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareCashPaid
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
$ 0.29us-gaap_CommonStockDividendsPerShareCashPaid
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
           
Repurchase of shares                   5,400,000us-gaap_StockRepurchasedDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
                       
Common shares repurchased during period, Aggregate value                   (514,200,000)us-gaap_StockRepurchasedDuringPeriodValue
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
                       
Common shares repurchased during period, Average cost per share                   $ 96.04us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
                       
Share repurchase program, Authorized aggregate amount                                         500,000,000us-gaap_StockRepurchaseProgramAuthorizedAmount1
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
 
Remaining authorized shares per share repurchase program   500,000,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
              500,000,000us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonStockMember
                       
Series C Preferred Stock                                            
Class of Stock [Line Items]                                            
Preference shares, issued                                   250,000,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
       
Preference shares, Shares issued                                   10,000,000us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
       
Preference Shares, Par Value (In dollars per share)                                   $ 25us-gaap_PreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
       
Preference shares, Shares redeemed 5,000,000us-gaap_StockRedeemedOrCalledDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
                              5,000,000us-gaap_StockRedeemedOrCalledDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
         
Preference shares, Redemption amount                                 125,000,000us-gaap_PreferredStockRedemptionAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
         
Preference shares, Shares outstanding                                 5,000,000us-gaap_PreferredStockSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
         
Preference shares, Redemption price per share                                           $ 25us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
Preference shares, Dividend rate                   6.08%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesCPreferredStockMember
                       
Series D Preferred Stock                                            
Class of Stock [Line Items]                                            
Preference shares, issued                                       300,000,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Preference shares, Shares issued                                       12,000,000us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Preference Shares, Par Value (In dollars per share)                                       $ 25us-gaap_PreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
   
Preference shares, Shares redeemed 6,000,000us-gaap_StockRedeemedOrCalledDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
                              6,000,000us-gaap_StockRedeemedOrCalledDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
  6,000,000us-gaap_StockRedeemedOrCalledDuringPeriodShares
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
     
Preference shares, Redemption amount                                 150,000,000us-gaap_PreferredStockRedemptionAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
  150,000,000us-gaap_PreferredStockRedemptionAmount
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
     
Preference shares, Shares outstanding                                 0us-gaap_PreferredStockSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
  6,000,000us-gaap_PreferredStockSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesDPreferredStockMember
     
Series E Preferred Stock                                            
Class of Stock [Line Items]                                            
Preference shares, issued $ 275,000,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
                $ 0us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
$ 265,856,000us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
$ 0us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
                   
Preference shares, Shares issued 11,000,000us-gaap_StockIssuedDuringPeriodSharesNewIssues
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
                                         
Preference Shares, Par Value (In dollars per share) $ 25us-gaap_PreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
                                         
Preference shares, Redemption price per share   $ 25us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
              $ 25us-gaap_PreferredStockRedemptionPricePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember
                       
Preference shares, Dividend rate                   5.375%us-gaap_PreferredStockDividendRatePercentage
/ us-gaap_StatementClassOfStockAxis
= us-gaap_SeriesEPreferredStockMember