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Restricted Stock Units (Summary of Restricted Stock Units Issued) (Details) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Share-Based Compensation Arrangement by Share-based Payment Award [Line Item]    
Share based compensation expense $ 8,000,000us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax $ 6,000,000us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
Restricted Stock [Member]    
Share-Based Compensation Arrangement by Share-based Payment Award [Line Item]    
Award vesting period 5 years  
Restricted Stock Units 10,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
16,950us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
Restricted Stock Units, Fair Value $ 503,000wrb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
$ 689,000wrb_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember