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Investments (Schedule of Contractual Maturities of Fixed Maturity Investments) (Details) (USD $) In Thousands, unless otherwise specified	Dec. 31, 2014	Dec. 31, 2013
Trading Securities [Abstract]
Fixed maturity investments trading, Due in less than one year, Amortized cost	$ 153,250rnr_TradingSecuritiesDebtMaturitiesWithinOneYearAmortizedCostBasis
Fixed maturity investments trading, Due after one through five years, Amortized cost	2,976,602rnr_TradingSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCostBasis
Fixed maturity investments trading, Due after five through ten years, Amortized cost	544,285rnr_TradingSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCostBasis
Fixed maturity investments trading, Due after ten years, Amortized cost	140,294rnr_TradingSecuritiesDebtMaturitiesAfterTenYearsAmortizedCostBasis
Fixed maturity investments trading, Amortized cost	4,749,613us-gaap_TradingSecuritiesDebtAmortizedCost	4,781,712us-gaap_TradingSecuritiesDebtAmortizedCost
Fixed maturity investments trading, Due in less than one year, Fair value	151,803rnr_TradingSecuritiesDebtMaturitiesWithinOneYearFairValue
Fixed maturity investments trading, Due after one through five years, Fair value	2,969,828rnr_TradingSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Fixed maturity investments trading, Due after five through ten years, Fair value	537,636rnr_TradingSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue
Fixed maturity investments trading, Due after ten years, Fair value	145,972rnr_TradingSecuritiesDebtMaturitiesAfterTenYearsFairValue
Fixed maturity investments trading, Fair value	4,756,685us-gaap_TradingSecurities
Available-for-sale Securities [Abstract]
Fixed maturity investments available-for-sale, Due in less than one year, Amortized Cost	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost
Fixed maturity investments available-for-sale, Due after one through five years, Amortized cost	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost
Fixed maturity investments available-for-sale, Due after five through ten years, Amortized cost	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost
Fixed maturity investments available-for-sale, Due after ten years, Amortized cost	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost
Fixed maturity investments available-for-sale, Amortized cost	23,772us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis	30,273us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis
Fixed maturity investments available-for-sale, Due in less than one year, Fair value	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue
Fixed maturity investments available-for-sale, Due after one through five years, Fair value	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Fixed maturity investments available-for-sale, Due after five through ten years, Fair value	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue
Fixed maturity investments available-for-sale, Due after ten years, Fair value	0us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue
Fixed maturity investments available-for-sale, Fair value	26,885us-gaap_AvailableForSaleSecuritiesDebtSecurities	34,241us-gaap_AvailableForSaleSecuritiesDebtSecurities
Fixed Maturity Investments [Abstract]
Fixed maturity investments, Due in less than one year, Amortized cost	153,250rnr_SecuritiesDebtMaturitiesWithinOneYearAmortizedCostBasis
Fixed maturity investments, Due after one through five years, Amortized cost	2,976,602rnr_SecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCostBasis
Fixed maturity investments, Due after five through ten years, Amortized cost	544,285rnr_SecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCostBasis
Fixed maturity investments, Due after ten years, Amortized cost	140,294rnr_SecuritiesDebtMaturitiesAfterTenYearsAmortizedCostBasis
Fixed maturity investments, Amortized cost	4,773,385rnr_SecuritiesDebtAmortizedCostBasis
Fixed maturity investments, Due in less than one year, Fair value	151,803rnr_SecuritiesDebtMaturitiesWithinOneYearFairValue
Fixed maturity investments, Due after one through give years, Fair value	2,969,828rnr_SecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue
Fixed maturity investments, Due after five through ten years, Fair value	537,636rnr_SecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue
Fixed maturity investments, Due after ten years, Fair value	145,972rnr_SecuritiesDebtMaturitiesAfterTenYearsFairValue
Fixed maturity investments, Fair value	4,783,570rnr_SecuritiesDebt
Mortgage-backed
Trading Securities [Abstract]
Fixed maturity investments trading, Amortized cost	910,897us-gaap_TradingSecuritiesDebtAmortizedCost / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Fixed maturity investments trading, Fair value	927,040us-gaap_TradingSecurities / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Available-for-sale Securities [Abstract]
Fixed maturity investments available-for-sale, Amortized cost	20,697us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Fixed maturity investments available-for-sale, Fair value	23,681us-gaap_AvailableForSaleSecuritiesDebtSecurities / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Fixed Maturity Investments [Abstract]
Fixed maturity investments, Amortized cost	931,594rnr_SecuritiesDebtAmortizedCostBasis / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Fixed maturity investments, Fair value	950,721rnr_SecuritiesDebt / us-gaap_DebtSecurityAxis = us-gaap_MortgageBackedSecuritiesMember
Asset-backed
Trading Securities [Abstract]
Fixed maturity investments trading, Amortized cost	24,285us-gaap_TradingSecuritiesDebtAmortizedCost / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember
Fixed maturity investments trading, Fair value	24,406us-gaap_TradingSecurities / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember
Available-for-sale Securities [Abstract]
Fixed maturity investments available-for-sale, Amortized cost	3,075us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember
Fixed maturity investments available-for-sale, Fair value	3,204us-gaap_AvailableForSaleSecuritiesDebtSecurities / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember
Fixed Maturity Investments [Abstract]
Fixed maturity investments, Amortized cost	27,360rnr_SecuritiesDebtAmortizedCostBasis / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember
Fixed maturity investments, Fair value	$ 27,610rnr_SecuritiesDebt / us-gaap_DebtSecurityAxis = us-gaap_AssetBackedSecuritiesMember

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Amount after adjustments of available-for-sale debt securities at cost, maturing in the sixth fiscal year through the tenth fiscal year following the latest fiscal year. Adjustments include, but are not limited to, accretion, amortization, collection of cash, previous other-than-temporary impairments (OTTI) recognized in earnings less cumulative-effect adjustments, and fair value hedge accounting adjustments. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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Fair value of available-for-sale debt securities maturing in the sixth fiscal year through the tenth fiscal year following the latest fiscal year. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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Amount after adjustments of available-for-sale debt securities at cost, maturing in the second fiscal year through the fifth fiscal year following the latest fiscal year. Adjustments include, but are not limited to, accretion, amortization, collection of cash, previous other-than-temporary impairments (OTTI) recognized in earnings less cumulative-effect adjustments, and fair value hedge accounting adjustments. Excludes interim and annual periods when interim periods are reported on a rolling approach, from latest balance sheet date.

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