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Pensions and Postretirement Benefits Other Than Pensions (Schedule of Net Periodic Benefit Cost) (Details) (Pension Costs [Member], USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Service cost $ 68.7us-gaap_DefinedBenefitPlanServiceCost $ 88.5us-gaap_DefinedBenefitPlanServiceCost $ 96.8us-gaap_DefinedBenefitPlanServiceCost
Interest cost 147.2us-gaap_DefinedBenefitPlanInterestCost 156.9us-gaap_DefinedBenefitPlanInterestCost 163.6us-gaap_DefinedBenefitPlanInterestCost
Expected return on plan assets (156.1)us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets (166.3)us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets (173.6)us-gaap_DefinedBenefitPlanExpectedReturnOnPlanAssets
Defined Benefit Plan, Amortization of Prior Service Cost (Credit) 4.4us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit 4.7us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit 5.1us-gaap_DefinedBenefitPlanAmortizationOfPriorServiceCostCredit
Plan net actuarial losses, net amortization of 36.1us-gaap_DefinedBenefitPlanActuarialGainLoss 63.0us-gaap_DefinedBenefitPlanActuarialGainLoss 60.6us-gaap_DefinedBenefitPlanActuarialGainLoss
Net periodic benefit cost 100.3ir_Definedbenefitplannetperiodicbenefitcostbeforecurtailmentsettlementgainslosses 146.8ir_Definedbenefitplannetperiodicbenefitcostbeforecurtailmentsettlementgainslosses 152.5ir_Definedbenefitplannetperiodicbenefitcostbeforecurtailmentsettlementgainslosses
Net curtailment and settlement (gains) losses 7.1us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1 0.7us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1 4.9us-gaap_DefinedBenefitPlanRecognizedNetGainLossDueToSettlementsAndCurtailments1
Net periodic benefit cost after net curtailment and settlement (gains) losses 107.4us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost 147.5us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost 157.4us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
Segment, Continuing Operations [Member]      
Net periodic benefit cost after net curtailment and settlement (gains) losses 100.2us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentContinuingOperationsMember
119.2us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentContinuingOperationsMember
125.5us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentContinuingOperationsMember
Segment, Discontinued Operations [Member]      
Net periodic benefit cost after net curtailment and settlement (gains) losses $ 7.2us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentDiscontinuedOperationsMember
$ 28.3us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentDiscontinuedOperationsMember
$ 31.9us-gaap_DefinedBenefitPlanNetPeriodicBenefitCost
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionCostsMember
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentDiscontinuedOperationsMember