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Basis of Presentation and Accounting Policies (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended 6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2015
Mar. 31, 2014
Reconciled Basic and Diluted EPS        
Net income $ 206.0us-gaap_NetIncomeLoss $ 180.3us-gaap_NetIncomeLoss $ 420.2us-gaap_NetIncomeLoss $ 378.4us-gaap_NetIncomeLoss
Less: Allocation to participating securities (0.2)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossDiluted (0.2)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossDiluted (0.4)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossDiluted (0.5)us-gaap_ParticipatingSecuritiesDistributedAndUndistributedEarningsLossDiluted
Net income available to common shareowners $ 205.8rok_NetIncomeAvailableToCommonStockholders $ 180.1rok_NetIncomeAvailableToCommonStockholders $ 419.8rok_NetIncomeAvailableToCommonStockholders $ 377.9rok_NetIncomeAvailableToCommonStockholders
Basic weighted average outstanding shares 134.9us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 138.5us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 135.3us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 138.5us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Effect of dilutive securities        
Stock options 1.1us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants 1.5us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants 1.1us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants 1.5us-gaap_IncrementalCommonSharesAttributableToCallOptionsAndWarrants
Performance shares 0us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares 0.2us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares 0.1us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares 0.2us-gaap_IncrementalCommonSharesAttributableToContingentlyIssuableShares
Diluted weighted average outstanding shares 136.0us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 140.2us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 136.5us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 140.2us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Earnings Per Share, Basic [Abstract]        
Basic $ 1.53us-gaap_EarningsPerShareBasic $ 1.30us-gaap_EarningsPerShareBasic $ 3.10us-gaap_EarningsPerShareBasic $ 2.73us-gaap_EarningsPerShareBasic
Earnings Per Share, Diluted [Abstract]        
Diluted $ 1.51us-gaap_EarningsPerShareDiluted $ 1.28us-gaap_EarningsPerShareDiluted $ 3.08us-gaap_EarningsPerShareDiluted $ 2.70us-gaap_EarningsPerShareDiluted