Description of Business (Details) $ in Billions	9 Months Ended
Sep. 30, 2023 USD ($) segment	Dec. 31, 2022 USD ($)
Business Overview [Abstract]
Number of reportable business segments \| segment	2
Mortgage
Business Overview [Abstract]
Down payment purchase price (percent)	20.00%
Equity in home (percent)	20.00%
Direct primary mortgage insurance in force	$ 269.5	$ 261.0
Direct primary mortgage insurance risk in force	$ 69.3	$ 66.1

Business Overview [Abstract]

No definition available.

Name:	rdn_BusinessOverviewAbstract
Namespace Prefix:	rdn_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

This element represents the maximum down payment percentage on a home's purchase price that is used to measure the need for private mortgage insurance.

+ References

No definition available.

+ Details

Name:	rdn_PrivateMortgageInsuranceProtectsLendersForLoansMadeWithLessThanThisMaximumDownPaymentPercentage
Namespace Prefix:	rdn_
Data Type:	dtr-types1:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

This element represents the maximum equity-ownership percentage on a home's value that is used to measure the need for private mortgage insurance for refinancings.

+ References

No definition available.

+ Details

Name:	rdn_PrivateMortgageInsuranceProtectsLendersForRefinancingsMadeToHomeBuyersWithLessThanThisMaximumEquityOwnershipPercentage
Namespace Prefix:	rdn_
Data Type:	dtr-types1:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Risk In Force, Ceded Amount

+ References

No definition available.

+ Details

Name:	rdn_RiskInForceCededAmount
Namespace Prefix:	rdn_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Number of segments reported by the entity. A reportable segment is a component of an entity for which there is an accounting requirement to report separate financial information on that component in the entity's financial statements.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 280
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 18
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482810/280-10-50-18

+ Details

Name:	us-gaap_NumberOfReportableSegments
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of participating insurance in force.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 944
-SubTopic 50
-Section 50
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147479756/944-50-50-1

+ Details

Name:	us-gaap_ParticipatingPoliciesAmountInForce
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=rdn_MortgageInsuranceSegmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: