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Share-Based Payments (Weighted-Average Fair Value of Options and Stock Per Share) (Details) (USD $) In Millions, except Per Share data, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Share-based compensation expense charged against net income before tax	$ 18.6us-gaap_AllocatedShareBasedCompensationExpense	$ 19.9us-gaap_AllocatedShareBasedCompensationExpense	$ 13.8us-gaap_AllocatedShareBasedCompensationExpense
Share-based compensation expense income tax benefit	$ 6.2us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense	$ 6.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense	$ 4.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
Restricted Stock Units (RSUs) [Member]
Stock, weighted average grant date fair value	$ 21.58us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember	$ 21.03us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember	$ 17.62us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockUnitsRSUMember
Agent Stock Purchase Plan [Member]
Stock, weighted average grant date fair value	$ 2.42us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = sigi_AgentStockPurchasePlanMember	$ 2.40us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = sigi_AgentStockPurchasePlanMember	$ 1.76us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = sigi_AgentStockPurchasePlanMember
Employee Stock Purchase Plan [Member]
Options, weighted average grant date fair value	$ 1.24us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 0.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 1.05us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember
15% of grant date market value	$ 3.87sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 3.24sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 2.70sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember
Total ESPP	$ 5.11sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValueTotal / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 4.21sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValueTotal / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember	$ 3.75sigi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsEmployeeStockPurchasePlanGrantsInPeriodWeightedAverageGrantDateFairValueTotal / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockMember

X

- Definition

The weighted average fair value discount at grant date, for employee stock purchase plan shares issued during the period.

+ References

No definition available.

+ Details

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- Definition

The total weighted average fair value at grant date for employee stock purchase plan shares issued during the period.

+ References

No definition available.

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- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 1

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5047-113901



Reference 2: http://www.xbrl.org/2003/role/presentationRef

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-Name Accounting Standards Codification

-Topic 718

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-Paragraph 1

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-Publisher FASB

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-Topic 718

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-Section 50

-Paragraph 2

-Subparagraph (h)(1)(i)

-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901



Reference 4: http://www.xbrl.org/2003/role/presentationRef

-Publisher SEC

-Name Staff Accounting Bulletin (SAB)

-Number Topic 14

-Section F

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- Definition

The total recognized tax benefit related to compensation cost for equity-based payment arrangements recognized in income during the period.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 2

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- Definition

The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 2

-Subparagraph (c)(2)(iii)(1)

-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901

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- Definition

The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 718

-SubTopic 10

-Section 50

-Paragraph 2

-Subparagraph (d)(1)

-URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901

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