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Share-Based Compensation (Narrative) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Jun. 03, 2009
Dec. 01, 2013
Total number of shares authorized by the shareholders       20,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized  
Remains available for future incentive awards 16,300,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant        
Share-based compensation expense $ (67.7)us-gaap_AllocatedShareBasedCompensationExpense $ (77.9)us-gaap_AllocatedShareBasedCompensationExpense $ (52.6)us-gaap_AllocatedShareBasedCompensationExpense    
Share-based compensation expense, net of tax (41.8)us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax (48.1)us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax (32.5)us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax    
Average fair value of stock options granted, in dollars per share $ 14.29us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 16.55us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue      
Aggregate intrinsic value of options exercised, in USD 67.4us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 155.5us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue      
Percentage Of Awards Applied To Performance Condition 50.00%ir_PercentageOfAwardsAppliedToPerformanceCondition        
Percentage of Awards Applied to Market Condition 50.00%ir_PercentageOfAwardsAppliedToMarketCondition        
Stock Options and SARs [Member] | Allegion [Member]          
Share-based Compensation Arrangement by Share-based Payment Award, Spinoff Conversion Ratio         0.3333ir_SharebasedCompensationArrangementbySharebasedPaymentAwardSpinoffConversionRatio
/ us-gaap_AwardTypeAxis
= ir_StockOptionsandSARsMember
/ us-gaap_IncomeStatementBalanceSheetAndAdditionalDisclosuresByDisposalGroupsIncludingDiscontinuedOperationsAxis
= ir_AllegionMember
Stock options and RSUs [Member]          
Vesting period, in years 3 years        
Stock Option [Member]          
Total unrecognized compensation cost from stock option arrangements granted under the plan, in USD 12.7us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
       
Restricted Stock Units (RSUs) [Member]          
Total unrecognized compensation cost from stock option arrangements granted under the plan, in USD 19.4us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
       
Performance Shares [Member]          
Total unrecognized compensation cost from stock option arrangements granted under the plan, in USD 16.8us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
       
Share-based Compensation Arrangement by Share-based Payment Award, Award Requisite Service Period 3 years        
Stock Appreciation Rights (SARs) [Member]          
Vesting period, in years 10 years        
SARs outstanding and vested 55,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNonOptionEquityInstrumentsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_StockAppreciationRightsSARSMember
       
Vested stock grants outstanding [Member]          
Vested stock grants outstanding 0ir_VestedStockGrantsOutstanding
/ us-gaap_AwardTypeAxis
= ir_VestedStockGrantsOutstandingMember
       
Stock Options [Member]          
Share-based compensation expense (16.4)us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
(23.0)us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
(5.7)us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
   
Stock Options [Member] | Immaterial Error Correction [Member]          
Share-based compensation expense     (13.5)us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementByRestatementPeriodAndAmountAxis
= ir_ImmaterialErrorCorrectionMember
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
   
Share-based compensation expense, net of tax     $ (8.3)us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
/ us-gaap_ErrorCorrectionsAndPriorPeriodAdjustmentsRestatementByRestatementPeriodAndAmountAxis
= ir_ImmaterialErrorCorrectionMember
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember