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Net Income Per Common Share - Calculations for Basic and Diluted Earnings Per Share (Detail) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Numerator:    
Net income-basic and diluted $ 128us-gaap_NetIncomeLoss $ 91us-gaap_NetIncomeLoss
Denominator:    
Basic weighted-average common shares outstanding (in shares) 164.0us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 163.4us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted weighted-average shares 165.6us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 165.0us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Earnings per share:    
Basic (in USD per share) $ 0.78us-gaap_EarningsPerShareBasic $ 0.56us-gaap_EarningsPerShareBasic
Diluted (in USD per share) $ 0.77us-gaap_EarningsPerShareDiluted $ 0.55us-gaap_EarningsPerShareDiluted
Number of anti-dilutive stock-based awards (in shares) 0.7us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 0.7us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
Stock Options    
Denominator:    
Effect of stock-based awards (in shares) 1.0us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
1.0us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Nonvested shares    
Denominator:    
Effect of stock-based awards (in shares) 0.6us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
/ us-gaap_AwardTypeAxis
= cinf_UnvestedStockAwardsMember
0.6us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
/ us-gaap_AwardTypeAxis
= cinf_UnvestedStockAwardsMember