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Derivative Instruments and Fair Value Measurement (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Derivative Instruments, Gain (Loss) Recognized in Other Comprehensive Income (Loss), Effective Portion, Net [Abstract]        
Pre-tax gains (losses) recorded in other comprehensive income related to cash flow hedges $ 39.8us-gaap_UnrealizedGainLossOnForeignCurrencyDerivativesNetBeforeTax $ (0.7)us-gaap_UnrealizedGainLossOnForeignCurrencyDerivativesNetBeforeTax $ 50.7us-gaap_UnrealizedGainLossOnForeignCurrencyDerivativesNetBeforeTax $ 0.9us-gaap_UnrealizedGainLossOnForeignCurrencyDerivativesNetBeforeTax
Pre-tax gains (losses) recorded in other comprehensive income related to net investment hedges (5.8)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax (0.2)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax (5.1)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax (0.5)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
Derivative Instruments, Gain (Loss) Reclassified from Accumulated OCI into Income, Effective Portion, Net [Abstract]        
Pre-tax amount of gains (losses) reclassified from accumulated other comprehensive income into the Condensed Consolidated Statement of Operations related to derivative forward exchange contracts designated as cash flow hedges 5.4us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet 0.9us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet 10.0us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet 1.4us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
Reclassification of Cash Flow Hedge Gain (Loss) [Abstract]        
Net unrealized gains on cash flow hedges to be reclassified into earnings during the next 12 months 44.0us-gaap_ForeignCurrencyCashFlowHedgeGainLossToBeReclassifiedDuringNext12Months   44.0us-gaap_ForeignCurrencyCashFlowHedgeGainLossToBeReclassifiedDuringNext12Months  
Net unrealized gains on cash flow hedges to be reclassified into earnings during the next 12 months, net of tax 38.9rok_ForeignCurrencyCashFlowHedgeGainLossToBeReclassifiedDuringNextTwelveMonthsNetOfTax   38.9rok_ForeignCurrencyCashFlowHedgeGainLossToBeReclassifiedDuringNextTwelveMonthsNetOfTax  
General Discussion of Derivative Instruments and Hedging Activities [Abstract]        
Maximum length of time hedged in cash flow hedges     2 years  
No impact on earnings due to ineffective cash flow hedges     no impact  
No impact on earnings due to ineffective net investment hedges     no impact  
No impact on earnings due to ineffective fair value hedges     no impact  
Sales [Member]        
Derivative Instruments, Gain (Loss) Reclassified from Accumulated OCI into Income, Effective Portion, Net [Abstract]        
Pre-tax amount of gains (losses) reclassified from accumulated other comprehensive income into the Condensed Consolidated Statement of Operations related to derivative forward exchange contracts designated as cash flow hedges (2.4)us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SalesMember
(0.8)us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SalesMember
(3.6)us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SalesMember
(1.0)us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_SalesMember
Cost of sales [Member]        
Derivative Instruments, Gain (Loss) Reclassified from Accumulated OCI into Income, Effective Portion, Net [Abstract]        
Pre-tax amount of gains (losses) reclassified from accumulated other comprehensive income into the Condensed Consolidated Statement of Operations related to derivative forward exchange contracts designated as cash flow hedges 7.8us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
1.7us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
13.6us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
2.4us-gaap_ForeignCurrencyCashFlowHedgeGainLossReclassifiedToEarningsNet
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_CostOfSalesMember
Other income [Member]        
Foreign Currency Derivative Instruments Not Designated as Hedging Instruments [Abstract]        
Pre-tax amount of gains (losses) from forward exchange contracts not designated as hedging instruments recognized in the Consolidated Statement of Operations 13.7us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_OtherIncomeMember
2.6us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_OtherIncomeMember
15.3us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_OtherIncomeMember
6.5us-gaap_GainLossOnForeignCurrencyDerivativeInstrumentsNotDesignatedAsHedgingInstruments
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_OtherIncomeMember
Interest expense [Member]        
Gain (Loss) on Fair Value Hedges Recognized in Earnings [Abstract]        
Pre-tax amount of net gains recognized within the Condensed Consolidated Statement of Operations related to derivative instruments designated as fair value hedges 0.4us-gaap_GainLossOnFairValueHedgesRecognizedInEarnings
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InterestExpenseMember
0us-gaap_GainLossOnFairValueHedgesRecognizedInEarnings
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InterestExpenseMember
0.4us-gaap_GainLossOnFairValueHedgesRecognizedInEarnings
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InterestExpenseMember
0us-gaap_GainLossOnFairValueHedgesRecognizedInEarnings
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_InterestExpenseMember
Foreign Exchange Forward [Member]        
Derivative Instruments, Gain (Loss) Recognized in Other Comprehensive Income (Loss), Effective Portion, Net [Abstract]        
Pre-tax gains (losses) recorded in other comprehensive income related to net investment hedges (6.4)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_ForeignExchangeForwardMember
0us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_ForeignExchangeForwardMember
(6.4)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_ForeignExchangeForwardMember
0us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DerivativeInstrumentRiskAxis
= us-gaap_ForeignExchangeForwardMember
Foreign Currency Denominated Debt [Member]        
Derivative Instruments, Gain (Loss) Recognized in Other Comprehensive Income (Loss), Effective Portion, Net [Abstract]        
Pre-tax gains (losses) recorded in other comprehensive income related to net investment hedges $ 0.6us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DebtInstrumentAxis
= rok_ForeignCurrencyDenominatedDebtMember
$ (0.2)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DebtInstrumentAxis
= rok_ForeignCurrencyDenominatedDebtMember
$ 1.3us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DebtInstrumentAxis
= rok_ForeignCurrencyDenominatedDebtMember
$ (0.5)us-gaap_TranslationAdjustmentForNetInvestmentHedgeIncreaseDecreaseNetOfTax
/ us-gaap_DebtInstrumentAxis
= rok_ForeignCurrencyDenominatedDebtMember