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Divestitures and Discontinued Operations (Schedule of Other Discontinued Operations) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Discontinued operations, net of tax $ 34.7us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax $ 13.3us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax $ 252.0us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax
Other Discontinued Operations [Member]      
Retained costs, net of tax 19.7ir_RetainedCostsOnDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
0.9ir_RetainedCostsOnDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
(16.2)ir_RetainedCostsOnDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
Net gain (loss) on disposals, net of tax 0us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
0us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
14.0us-gaap_DiscontinuedOperationGainLossOnDisposalOfDiscontinuedOperationNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
Discontinued operations, net of tax $ 19.7us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
$ 0.9us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember
$ (2.2)us-gaap_IncomeLossFromDiscontinuedOperationsNetOfTax
/ dei_LegalEntityAxis
= ir_OtherDiscontinuedOperationsMember