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Note 15 - Share-Based and Other Compensation Plans (Awards Summary - Textual) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares remaining available for grant (shares reserve) 4,258,907us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Equity Compensation Plan, 2014 [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares of common stock authorized for issuance 6,416,180us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2014Member
   
Number of shares remaining available for grant (shares reserve) 4,240,002us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2014Member
   
Share-based Compensation Arrangement By Share-based Payment Award Number of Shares Available for Grant Excluding Adjustments 4,728,559rdn_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantExcludingAdjustments
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2014Member
   
Equity Compensation Plan, 2014 [Member] | Restricted Stock, Restricted Stock Units and Performance Shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation, Reduction of Shares Available for Grant by Each Grant of Equity Award 1.31rdn_ShareBasedCompensationReductionOfSharesAvailableForGrantByEachGrantOfEquityAward
/ us-gaap_AwardTypeAxis
= rdn_RestrictedStockRestrictedStockUnitsandPerformanceSharesMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2014Member
   
Equity Compensation Plans [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum contractual term for all awards 10 years    
Change of control, estimated pre-tax accounting charge, acceleration of compensation expense $ 17.5us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
$ 31.9us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
$ 22.4us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
Equity Compensation Plans [Member] | Restricted Stock, Restricted Stock Units and Performance Shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Vesting Percentage of Total Award, Third Anniversary 100.00%rdn_ShareBasedCompensationArrangementByShareBasedPaymentAwardVestingPercentageOfTotalAwardThirdAnniversary
/ us-gaap_AwardTypeAxis
= rdn_RestrictedStockRestrictedStockUnitsandPerformanceSharesMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
   
Equity Compensation Plans [Member] | Stock Options and SARs [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Vesting Percentage of Total Award, Third Anniversary 50.00%rdn_ShareBasedCompensationArrangementByShareBasedPaymentAwardVestingPercentageOfTotalAwardThirdAnniversary
/ us-gaap_AwardTypeAxis
= rdn_StockOptionsandSARsMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Vesting Percentage of Total Award, Fourth Anniversary 50.00%rdn_ShareBasedCompensationArrangementByShareBasedPaymentAwardVestingPercentageOfTotalAwardFourthAnniversary
/ us-gaap_AwardTypeAxis
= rdn_StockOptionsandSARsMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
   
Grants Awarded Prior to May 13 2009 [Member] | Equity Compensation Plans [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Third party minimum threshold percentage acquisition of outstanding common stock 40.00%rdn_ShareBasedCompensationByShareBasedPaymentAwardPercentageOfOutstandingCommonStockAcquiredThresholdForOptionsBecomingVestedUnderChangeInControlDefinition
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
/ us-gaap_VestingAxis
= rdn_GrantsAwardedPriorToMay132009Member
   
Share-based Compensation Arrangements, Number of Months (Rolling) Used For Calculation of Change in Control 24 months    
Percentage of Change in Members of Board of Directors Defined As Change in Control 75.00%rdn_PercentageOfChangeInMembersOfBoardOfDirectorsDefinedAsChangeInControl
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
/ us-gaap_VestingAxis
= rdn_GrantsAwardedPriorToMay132009Member
   
Percentage of Board of Directors Who Oppose Change in Control 75.00%rdn_PercentageOfBoardOfDirectorsWhoOpposeChangeInControl
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlansMember
/ us-gaap_VestingAxis
= rdn_GrantsAwardedPriorToMay132009Member
   
Grants Awarded Prior to May 13 2009 [Member] | Equity Compensation Plan, 1995      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Third party minimum threshold percentage acquisition of outstanding common stock 20.00%rdn_ShareBasedCompensationByShareBasedPaymentAwardPercentageOfOutstandingCommonStockAcquiredThresholdForOptionsBecomingVestedUnderChangeInControlDefinition
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan1995Member
/ us-gaap_VestingAxis
= rdn_GrantsAwardedPriorToMay132009Member
   
Grants Awarded From May 13 2009 and Forward [Member] | Equity Compensation Plans [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Change of control, grantee employment termination, vesting period range (in days and years) 90 days    
Grants Awarded From May 13 2009 and Forward [Member] | Equity Compensation Plans [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Change of control, grantee employment termination, vesting period range (in days and years) 1 year