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Goodwill and Other Intangible Assets (Schedule of Goodwill and Other Intangible Assets Included in Equity Method Investments) (Details) (USD $)
In Thousands, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Other intangible assets    
Gross amount, End of Period $ 58,399us-gaap_IntangibleAssetsGrossExcludingGoodwill $ 58,477us-gaap_IntangibleAssetsGrossExcludingGoodwill
Accumulated impairment losses and amortization, End of Period (43,424)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment (39,560)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
Other intangible assets, Net, End of Period 14,975us-gaap_IntangibleAssetsNetExcludingGoodwill 18,917us-gaap_IntangibleAssetsNetExcludingGoodwill
Goodwill and Other intangible assets, Total    
Goodwill and Other intangible assets, Net, End of Period 7,902us-gaap_IntangibleAssetsNetIncludingGoodwill 8,111us-gaap_IntangibleAssetsNetIncludingGoodwill
Investments in other ventures    
Goodwill    
Goodwill, Gross amount, Beginning of Period 12,545us-gaap_GoodwillGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
10,840us-gaap_GoodwillGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, Beginning of Period 0us-gaap_GoodwillImpairedAccumulatedImpairmentLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
0us-gaap_GoodwillImpairedAccumulatedImpairmentLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Goodwill, Net, Beginning of Period 12,545us-gaap_Goodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
10,840us-gaap_Goodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Acquired during the year   1,705us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Adjustments to gross amounts (227)us-gaap_GoodwillOtherChanges
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
 
Goodwill, Gross amount, End of Period 12,318us-gaap_GoodwillGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
12,545us-gaap_GoodwillGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, End of Period 0us-gaap_GoodwillImpairedAccumulatedImpairmentLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
0us-gaap_GoodwillImpairedAccumulatedImpairmentLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Goodwill, Net, End of Period 12,318us-gaap_Goodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
12,545us-gaap_Goodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Other intangible assets    
Gross amount, Beginning of Period 45,478us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
44,323us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, Beginning of Period (28,811)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(24,769)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Other intangible assets, Net, Beginning of Period 16,667us-gaap_IntangibleAssetsNetExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
19,554us-gaap_IntangibleAssetsNetExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Acquired during the year   1,155us-gaap_FinitelivedIntangibleAssetsAcquired1
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Amortization (3,655)us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(4,042)us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Adjustments to gross amounts (78)rnr_IntangibleAssetsOtherChanges
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
 
Gross amount, End of Period 45,400us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
45,478us-gaap_IntangibleAssetsGrossExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, End of Period (32,466)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(28,811)rnr_IntangibleAssetsExcludingGoodwillAccumulatedAmortizationAndImpairment
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Other intangible assets, Net, End of Period 12,934us-gaap_IntangibleAssetsNetExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
16,667us-gaap_IntangibleAssetsNetExcludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Goodwill and Other intangible assets, Total    
Gross amount, Beginning of Period 58,023rnr_GoodwillAndIntangibleAssetsGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
55,163rnr_GoodwillAndIntangibleAssetsGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, Beginning of Period (28,811)rnr_GoodwillAndIntangibleAssetsAccumulatedImpairmentAndAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(24,769)rnr_GoodwillAndIntangibleAssetsAccumulatedImpairmentAndAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Goodwill and Other intangible assets, Net, Beginning of Period 29,212us-gaap_IntangibleAssetsNetIncludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
30,394us-gaap_IntangibleAssetsNetIncludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Acquired during the year   2,860rnr_GoodwillAndIntangibleAssetsAcquiredDuringPeriod
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Amortization (3,655)us-gaap_AdjustmentForAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(4,042)us-gaap_AdjustmentForAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Adjustments to gross amounts 305rnr_IntangibleAssetsNetIncludingGoodwillOtherChanges
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
 
Gross amount, End of Period 57,718rnr_GoodwillAndIntangibleAssetsGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
58,023rnr_GoodwillAndIntangibleAssetsGross
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Accumulated impairment losses and amortization, End of Period (32,466)rnr_GoodwillAndIntangibleAssetsAccumulatedImpairmentAndAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
(28,811)rnr_GoodwillAndIntangibleAssetsAccumulatedImpairmentAndAmortization
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
Goodwill and Other intangible assets, Net, End of Period $ 25,252us-gaap_IntangibleAssetsNetIncludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember
$ 29,212us-gaap_IntangibleAssetsNetIncludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= us-gaap_EquityMethodInvestmentsMember