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Condensed Consolidated Statement of Operations (Unaudited) (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
Sales        
Products and solutions $ 1,394.5us-gaap_SalesRevenueGoodsNet $ 1,429.1us-gaap_SalesRevenueGoodsNet $ 2,804.3us-gaap_SalesRevenueGoodsNet $ 2,851.4us-gaap_SalesRevenueGoodsNet
Services 156.3us-gaap_SalesRevenueServicesNet 171.4us-gaap_SalesRevenueServicesNet 320.9us-gaap_SalesRevenueServicesNet 340.8us-gaap_SalesRevenueServicesNet
Total sales 1,550.8us-gaap_SalesRevenueNet 1,600.5us-gaap_SalesRevenueNet 3,125.2us-gaap_SalesRevenueNet 3,192.2us-gaap_SalesRevenueNet
Cost of sales        
Products and solutions (768.6)us-gaap_CostOfGoodsSold (825.1)us-gaap_CostOfGoodsSold (1,545.4)us-gaap_CostOfGoodsSold (1,635.5)us-gaap_CostOfGoodsSold
Services (109.0)us-gaap_CostOfServices (119.6)us-gaap_CostOfServices (219.1)us-gaap_CostOfServices (237.2)us-gaap_CostOfServices
Total cost of sales (877.6)us-gaap_CostOfGoodsAndServicesSold (944.7)us-gaap_CostOfGoodsAndServicesSold (1,764.5)us-gaap_CostOfGoodsAndServicesSold (1,872.7)us-gaap_CostOfGoodsAndServicesSold
Gross profit 673.2us-gaap_GrossProfit 655.8us-gaap_GrossProfit 1,360.7us-gaap_GrossProfit 1,319.5us-gaap_GrossProfit
Selling, general and administrative expenses (382.4)us-gaap_SellingGeneralAndAdministrativeExpense (392.5)us-gaap_SellingGeneralAndAdministrativeExpense (769.3)us-gaap_SellingGeneralAndAdministrativeExpense (777.9)us-gaap_SellingGeneralAndAdministrativeExpense
Other income 1.4rok_OtherIncomeExpense 0.1rok_OtherIncomeExpense 3.2rok_OtherIncomeExpense 9.5rok_OtherIncomeExpense
Interest expense (15.7)us-gaap_InterestExpense (15.0)us-gaap_InterestExpense (30.6)us-gaap_InterestExpense (29.9)us-gaap_InterestExpense
Income before income taxes 276.5us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 248.4us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 564.0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest 521.2us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest
Income tax provision (70.5)us-gaap_IncomeTaxExpenseBenefit (68.1)us-gaap_IncomeTaxExpenseBenefit (143.8)us-gaap_IncomeTaxExpenseBenefit (142.8)us-gaap_IncomeTaxExpenseBenefit
Net income $ 206.0us-gaap_NetIncomeLoss $ 180.3us-gaap_NetIncomeLoss $ 420.2us-gaap_NetIncomeLoss $ 378.4us-gaap_NetIncomeLoss
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
Cash dividends per share $ 0.65us-gaap_CommonStockDividendsPerShareDeclared $ 0.58us-gaap_CommonStockDividendsPerShareDeclared $ 1.30us-gaap_CommonStockDividendsPerShareDeclared $ 1.16us-gaap_CommonStockDividendsPerShareDeclared
Weighted average outstanding shares:        
Basic 134.9us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 138.5us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 135.3us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 138.5us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Diluted 136.0us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 140.2us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 136.5us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 140.2us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding