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Share-Based Compensation (Information Concerning Currently Outstanding and Exercisable Options) (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Number of options outstanding, in shares 7,502,613us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
Weighted average remaining life, Outstanding, in years 5 years 5 months 30 days
Weighted average exercise price, options outstanding, in dollars per share $ 36.21us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
Number of options exercisable, in shares 5,127,891us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
Weighted average remaining life, Exercisable, in years 4 years 3 months 1 day
Weighted average exercise price, option exercisable, in dollars per share $ 30.47us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
10.01 - 20.00 [Member]  
Number of options outstanding, in shares 610,934us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TenPointZeroOneDollarsToTwentyDollarsMember
Weighted average remaining life, Outstanding, in years 2 years 7 months 30 days
Weighted average exercise price, options outstanding, in dollars per share $ 15.03us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TenPointZeroOneDollarsToTwentyDollarsMember
Number of options exercisable, in shares 610,934us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TenPointZeroOneDollarsToTwentyDollarsMember
Weighted average remaining life, Exercisable, in years 2 years 7 months 30 days
Weighted average exercise price, option exercisable, in dollars per share $ 15.03us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TenPointZeroOneDollarsToTwentyDollarsMember
20.01 - 30.00 [Member]  
Number of options outstanding, in shares 1,303,401us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TwentyPointZeroOneDollarsToThirtyDollarsMember
Weighted average remaining life, Outstanding, in years 4 years 4 months 30 days
Weighted average exercise price, options outstanding, in dollars per share $ 25.60us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TwentyPointZeroOneDollarsToThirtyDollarsMember
Number of options exercisable, in shares 1,302,062us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TwentyPointZeroOneDollarsToThirtyDollarsMember
Weighted average remaining life, Exercisable, in years 4 years 4 months 30 days
Weighted average exercise price, option exercisable, in dollars per share $ 25.60us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_TwentyPointZeroOneDollarsToThirtyDollarsMember
30.01 - 40.00 [Member]  
Number of options outstanding, in shares 3,164,061us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_ThirtyPointZeroOneToFortyDollarsMember
Weighted average remaining life, Outstanding, in years 4 years 6 months 30 days
Weighted average exercise price, options outstanding, in dollars per share $ 33.98us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_ThirtyPointZeroOneToFortyDollarsMember
Number of options exercisable, in shares 2,746,192us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_ThirtyPointZeroOneToFortyDollarsMember
Weighted average remaining life, Exercisable, in years 4 years 2 months 1 day
Weighted average exercise price, option exercisable, in dollars per share $ 34.22us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_ThirtyPointZeroOneToFortyDollarsMember
40.01 - 50.00 [Member]  
Number of options outstanding, in shares 1,306,079us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FortyPointZeroOneToFiftyDollarsMember
Weighted average remaining life, Outstanding, in years 7 years 4 months 30 days
Weighted average exercise price, options outstanding, in dollars per share $ 41.95us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FortyPointZeroOneToFiftyDollarsMember
Number of options exercisable, in shares 460,016us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FortyPointZeroOneToFiftyDollarsMember
Weighted average remaining life, Exercisable, in years 6 years 3 months 30 days
Weighted average exercise price, option exercisable, in dollars per share $ 41.88us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FortyPointZeroOneToFiftyDollarsMember
50.01 - 60.00 [Member]  
Number of options outstanding, in shares 1,118,138us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfOutstandingOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FiftyPointZeroOneDollarsToSixtyDollarsMember
Weighted average remaining life, Outstanding, in years 9 years 1 month 1 day
Weighted average exercise price, options outstanding, in dollars per share $ 59.79us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeOutstandingOptionsWeightedAverageExercisePriceBeginningBalance1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FiftyPointZeroOneDollarsToSixtyDollarsMember
Number of options exercisable, in shares 8,687us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeNumberOfExercisableOptions
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FiftyPointZeroOneDollarsToSixtyDollarsMember
Weighted average remaining life, Exercisable, in years 3 years 5 months 30 days
Weighted average exercise price, option exercisable, in dollars per share $ 59.83us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1
/ us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansByExercisePriceRangeAxis
= ir_FiftyPointZeroOneDollarsToSixtyDollarsMember