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Stock Incentive Compensation and Employee Benefit Plans (Schedule of Valuation Assumptions) (Details) (Performance Shares)	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013
Performance Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected volatility rate, minimum	14.50%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember	19.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMinimum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember
Expected volatility rate, maximum	18.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember	19.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRateMaximum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember
Risk free interest rate, minimum	0.08%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMinimum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember	0.09%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMinimum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember
Risk free interest rate, maximum	1.65%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMaximum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember	1.39%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRateMaximum / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember
Expected term	1 year
Expected forfeiture rate	0.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember	0.00%rnr_ShareBasedCompensationArrangementsByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitureRate / us-gaap_AwardTypeAxis = us-gaap_PerformanceSharesMember

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- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Performance Period

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No definition available.

+ Details

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- Definition

Share-based Compensation Arrangements by Share-based Payment Award, Fair Value Assumptions, Expected Forfeiture Rate

+ References

No definition available.

+ Details

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- Definition

The estimated measure of the maximum percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

+ References

No definition available.

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- Definition

The estimated measure of the minimum percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

+ References

No definition available.

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- Definition

The maximum risk-free interest rate assumption that is used in valuing an option on its own shares.

+ References

No definition available.

+ Details

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- Definition

The minimum risk-free interest rate assumption that is used in valuing an option on its own shares.

+ References

No definition available.

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