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Goodwill and Other Intangible Assets (Schedule of Finite-Lived Intangible Assets by Major Class) (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 58,399us-gaap_IntangibleAssetsGrossExcludingGoodwill $ 58,477us-gaap_IntangibleAssetsGrossExcludingGoodwill
Accumulated amortization and impairment losses (43,424)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment (39,560)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
Other intangible assets, Net 14,975us-gaap_IntangibleAssetsNetExcludingGoodwill 18,917us-gaap_IntangibleAssetsNetExcludingGoodwill
Customer relationships and customer lists    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 40,562us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
40,640us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
Accumulated amortization and impairment losses (28,057)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
(24,522)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
Other intangible assets, Net 12,505us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
16,118us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_CustomerRelationshipsMember
Lloyd's managing agency license    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 1,867us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
1,867us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
Accumulated amortization and impairment losses 0rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
0rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
Other intangible assets, Net 1,867us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
1,867us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_LicensingAgreementsMember
Trademarks and trade names    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 610us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
610us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
Accumulated amortization and impairment losses (159)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
(134)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
Other intangible assets, Net 451us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
476us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_TrademarksMember
Covenants not-to-compete    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 2,130us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
2,130us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
Accumulated amortization and impairment losses (1,978)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
(1,674)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
Other intangible assets, Net 152us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
456us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_NoncompeteAgreementsMember
Software    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 8,730us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
8,730us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Accumulated amortization and impairment losses (8,730)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
(8,730)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Other intangible assets, Net 0us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
0us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Patents and intellectual property    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Gross carrying value 4,500us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
4,500us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
Accumulated amortization and impairment losses (4,500)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
(4,500)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
Other intangible assets, Net 0us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
$ 0us-gaap_IntangibleAssetsNetExcludingGoodwill
/ rnr_FiniteAndIndefiniteLivedIntangibleAssetsAxis
= us-gaap_DevelopedTechnologyRightsMember
Minimum    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Finite-lived intangible assets, useful life 1 year  
Maximum    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Finite-lived intangible assets, useful life 25 years  
Weighted Average    
Schedule of Finite and Indefinite-lived Intangible Assets [Line Items]    
Finite-lived intangible assets, useful life 11 years