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Share-Based Payments (Narrative) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value $ 0.8us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 1.3us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 0.8us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Stock Issued During Period Shares 769,389us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation 862,662us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation 857,403us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
Number of options granted 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross    
Stock Issued During Period Shares Dividend Reinvestment Plan 58,309us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan 63,349us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan 90,110us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
Expense charged 18.6us-gaap_AllocatedShareBasedCompensationExpense 19.9us-gaap_AllocatedShareBasedCompensationExpense 13.8us-gaap_AllocatedShareBasedCompensationExpense
Corresponding income tax benefit 6.2us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 6.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 4.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
Omnibus Stock Plan 2014 [Member]      
Maximum exercise period for an option grant 10 years    
Number of authorized shares 3,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
Number of shares available in reserve 3,491,894us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
DEUs accrued 43sigi_DividendEquivalentUnitsShareBasedCompensationAccrued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
DEU issuances 0sigi_DividendEquivalentUnitsShareBasedCompensationIssued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
Number of options to purchase common stock 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
Forfeitures during the period 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
Cash Incentive Plan [Member]      
Cash units granted, net of forfeiture 60,305sigi_CashUnitsGrantedDuringPeriodShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_CashIncentivePlanMember
55,365sigi_CashUnitsGrantedDuringPeriodShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_CashIncentivePlanMember
46,961sigi_CashUnitsGrantedDuringPeriodShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_CashIncentivePlanMember
Stock Option III [Member]      
Maximum exercise period for an option grant 10 years    
Number of shares available in reserve 223,440us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockOptionIiiMember
   
Stock Option Plan For Directors [Member]      
Number of shares available in reserve 36,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockOptionPlanForDirectorsMember
   
Stock Compensation Plan For Non Employee Directors [Member]      
Number of shares available in reserve 94,290us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockCompensationPlanForNonEmployeeDirectorsMember
   
Issuances under plan 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockCompensationPlanForNonEmployeeDirectorsMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockCompensationPlanForNonEmployeeDirectorsMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesIssuedInPeriod
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockCompensationPlanForNonEmployeeDirectorsMember
Employee Stock Purchase Plan [Member]      
Stock Issued During Period Shares 106,832us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
122,951us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
129,081us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
Number of authorized shares 1,500,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
   
Number of shares available in reserve 764,098us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
   
Discount from market price, offering date 85.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardDiscountFromMarketPriceOfferingDate
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
   
Discount from market price, purchase date 85.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardDiscountFromMarketPricePurchaseDate
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= us-gaap_EmployeeStockMember
   
Agent Stock Purchase Plan [Member]      
Stock Issued During Period Shares 78,724us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
86,388us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
89,723us-gaap_StockIssuedDuringPeriodSharesShareBasedCompensation
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
Number of authorized shares 3,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
   
Number of shares available in reserve 2,019,296us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
   
Discount from market price, purchase date 10.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardDiscountFromMarketPricePurchaseDate
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
   
Expense charged 0.2us-gaap_AllocatedShareBasedCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
0.2us-gaap_AllocatedShareBasedCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
0.2us-gaap_AllocatedShareBasedCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
Corresponding income tax benefit $ 0.1us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
$ 0.1us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
$ 0.1us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_AgentStockPurchasePlanMember
Omnibus Stock Plan [Member]      
Maximum exercise period for an option grant 10 years    
Number of shares available in reserve 3,035,652us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
   
DEUs accrued 24,010sigi_DividendEquivalentUnitsShareBasedCompensationAccrued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
23,505sigi_DividendEquivalentUnitsShareBasedCompensationAccrued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
32,558sigi_DividendEquivalentUnitsShareBasedCompensationAccrued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
DEU issuances 30,991sigi_DividendEquivalentUnitsShareBasedCompensationIssued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
39,296sigi_DividendEquivalentUnitsShareBasedCompensationIssued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
48,224sigi_DividendEquivalentUnitsShareBasedCompensationIssued
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
Number of options to purchase common stock 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardSharesPurchasedForAward
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
Restricted Stock Units (RSUs) [Member] | Omnibus Stock Plan 2014 [Member]      
Number of restricted stock units granted net of forfeitures 4,023us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlan2014Member
   
Restricted Stock Units (RSUs) [Member] | Omnibus Stock Plan [Member]      
Number of restricted stock units granted net of forfeitures 354,357us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
376,163us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
326,213us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsGranted
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_OmnibusStockPlanMember
Stock Option [Member] | Stock Option Plan For Directors [Member]      
Number of options granted 6,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= sigi_StockOptionShareBasedCompensationMember
/ sigi_ShareBasedCompensationArrangementsAwardTypeAxis
= sigi_StockOptionPlanForDirectorsMember