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INCOME TAXES (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Feb. 22, 2015
Feb. 23, 2014
Feb. 22, 2015
Feb. 23, 2014
May 25, 2014
Income Tax Disclosure [Abstract]          
Income tax expense $ 2.5us-gaap_IncomeTaxExpenseBenefit $ 78.2us-gaap_IncomeTaxExpenseBenefit $ 129.0us-gaap_IncomeTaxExpenseBenefit $ 213.1us-gaap_IncomeTaxExpenseBenefit  
Gross unrecognized tax benefits 77.5us-gaap_UnrecognizedTaxBenefits   77.5us-gaap_UnrecognizedTaxBenefits   84.9us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits with uncertainty of timing of deductibility 8.2cag_UnrecognizedTaxBenefitsWithUncertaintyOfTimingOfDeductibility   8.2cag_UnrecognizedTaxBenefitsWithUncertaintyOfTimingOfDeductibility   8.2cag_UnrecognizedTaxBenefitsWithUncertaintyOfTimingOfDeductibility
Unrecognized liabilities for gross interest and penalties 27.1us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   27.1us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued   29.6us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Unrecognized tax benefits that would favorably impact effective tax rate 45.4us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate   45.4us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate   50.8us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate
Gross unrecognized tax benefits, decrease $ 19.2us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit   $ 19.2us-gaap_SignificantChangeInUnrecognizedTaxBenefitsIsReasonablyPossibleAmountOfUnrecordedBenefit