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Income Taxes (Schedule of Deferred Tax Accounts) (Details) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
Inventory and accounts receivable, deferred tax asset $ 19.2ir_DeferredTaxAssetInventoryAndAccountReceivable $ 19.7ir_DeferredTaxAssetInventoryAndAccountReceivable    
Fixed assets and intangibles, deferred tax asset 8.6ir_DeferredTaxAssetFixedAssetAndIntangibles 3.3ir_DeferredTaxAssetFixedAssetAndIntangibles    
Postemployment and other benefit liabilities, deferred tax asset 702.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits 643.1us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsPostretirementBenefits    
Product liability, deferred tax asset 191.0ir_DeferredTaxAssetsProductLiability 221.7ir_DeferredTaxAssetsProductLiability    
Other reserves and accruals, deferred tax asset 190.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther 198.5us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther    
Net operating losses and credit carryforwards, deferred tax asset 505.9us-gaap_DeferredTaxAssetsOperatingLossCarryforwards 707.1us-gaap_DeferredTaxAssetsOperatingLossCarryforwards    
Other, deferred tax asset 77.3us-gaap_DeferredTaxAssetsOther 59.2us-gaap_DeferredTaxAssetsOther    
Gross deferred tax assets 1,695.0us-gaap_DeferredTaxAssetsGross 1,852.6us-gaap_DeferredTaxAssetsGross    
Deferred tax valuation allowances (210.7)us-gaap_DeferredTaxAssetsValuationAllowance (218.5)us-gaap_DeferredTaxAssetsValuationAllowance (156.2)us-gaap_DeferredTaxAssetsValuationAllowance (308.4)us-gaap_DeferredTaxAssetsValuationAllowance
Deferred tax assets net of valuation allowances 1,484.3us-gaap_DeferredTaxAssetsNet 1,634.1us-gaap_DeferredTaxAssetsNet    
Inventory and accounts receivable, deferred tax liability (42.8)ir_DeferredTaxLiabilityInventoryAndAccountReceivable (46.8)ir_DeferredTaxLiabilityInventoryAndAccountReceivable    
Fixed assets and intangibles, deferred tax liability (1,999.6)ir_DeferredTaxLiabilityFixedAssetAndIntangibles (2,046.8)ir_DeferredTaxLiabilityFixedAssetAndIntangibles    
Postemployment and other benefit liabilities, deferred tax liability (3.3)ir_DeferredTaxLiabilityPostEmploymentAndOtherBenefitLiabilities (3.3)ir_DeferredTaxLiabilityPostEmploymentAndOtherBenefitLiabilities    
Other reserves and accruals, deferred tax liability (14.1)ir_DeferredTaxLiabilityOtherReservesAndAccruals (6.0)ir_DeferredTaxLiabilityOtherReservesAndAccruals    
Other, deferred tax liability (20.3)us-gaap_DeferredTaxLiabilitiesOther (49.1)us-gaap_DeferredTaxLiabilitiesOther    
Gross deferred tax liability (2,080.1)us-gaap_DeferredTaxLiabilities (2,152.0)us-gaap_DeferredTaxLiabilities    
Net deferred tax assets (liabilities) $ (595.8)us-gaap_DeferredTaxAssetsLiabilitiesNet $ (517.9)us-gaap_DeferredTaxAssetsLiabilitiesNet