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Basis of Presentation and Accounting Policies (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Reconciled Basic and Diluted EPS    
Net income $ 214.2us-gaap_NetIncomeLoss $ 198.1us-gaap_NetIncomeLoss
Less: Allocation to participating securities (0.3)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarnings (0.3)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarnings
Net income available to common shareowners $ 213.9rok_NetIncomeAvailableToCommonStockholders $ 197.8rok_NetIncomeAvailableToCommonStockholders
Basic weighted average outstanding shares 135.6us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 138.6us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Effect of dilutive securities    
Stock options 1.2us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants 1.6us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants
Performance shares 0.1us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares 0.2us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares
Diluted weighted average outstanding shares 136.9us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 140.4us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Earnings Per Share, Basic [Abstract]    
Basic $ 1.58us-gaap_EarningsPerShareBasic $ 1.43us-gaap_EarningsPerShareBasic
Earnings Per Share, Diluted [Abstract]    
Diluted $ 1.56us-gaap_EarningsPerShareDiluted $ 1.41us-gaap_EarningsPerShareDiluted