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Share-Based Compensation (Share-Based Compensation Expense) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Share based compensation expense $ 24.5us-gaap_AllocatedShareBasedCompensationExpense $ 26.3us-gaap_AllocatedShareBasedCompensationExpense
Tax benefit (9.4)us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense (10.1)us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
After-tax expense 15.1us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax 16.2us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
Stock Options [Member]    
Share based compensation expense 6.7us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
6.5us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_EmployeeStockOptionMember
Restricted Stock Units (RSUs) [Member]    
Share based compensation expense 9.0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_RestrictedStockUnitsRSUMember
10.2us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_RestrictedStockUnitsRSUMember
Performance Shares [Member]    
Share based compensation expense 7.6us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_PerformanceSharesMember
9.6us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_PerformanceSharesMember
Other share based compensation [Member]    
Share based compensation expense $ 1.2us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= ir_OtherShareBasedCompensationMember
$ 0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= ir_OtherShareBasedCompensationMember