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Condensed Consolidated Statement of Cash Flows (Unaudited) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Operating activities:    
Net income $ 214.2us-gaap_NetIncomeLoss $ 198.1us-gaap_NetIncomeLoss
Adjustments to arrive at cash provided by operating activities:    
Depreciation 33.9us-gaap_Depreciation 28.4us-gaap_Depreciation
Amortization of intangible assets 6.7us-gaap_AmortizationOfIntangibleAssets 7.5us-gaap_AmortizationOfIntangibleAssets
Share-based compensation expense 10.8us-gaap_ShareBasedCompensation 11.5us-gaap_ShareBasedCompensation
Retirement benefit expense 36.1rok_RetirementBenefitsExpenses 33.3rok_RetirementBenefitsExpenses
Pension contributions (8.6)us-gaap_PensionContributions (11.2)us-gaap_PensionContributions
Net loss on disposition of property 0.2us-gaap_GainLossOnSaleOfPropertyPlantEquipment 0us-gaap_GainLossOnSaleOfPropertyPlantEquipment
Excess income tax benefit from share-based compensation (4.4)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities (10.7)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities
Changes in assets and liabilities, excluding effects of acquisitions and foreign currency adjustments:    
Receivables 73.2us-gaap_IncreaseDecreaseInReceivables 27.4us-gaap_IncreaseDecreaseInReceivables
Inventories (24.3)us-gaap_IncreaseDecreaseInInventories (33.6)us-gaap_IncreaseDecreaseInInventories
Accounts payable (10.4)us-gaap_IncreaseDecreaseInAccountsPayable (18.3)us-gaap_IncreaseDecreaseInAccountsPayable
Advance payments from customers and deferred revenue 7.5us-gaap_IncreaseDecreaseInDeferredRevenueAndCustomerAdvancesAndDeposits 13.1us-gaap_IncreaseDecreaseInDeferredRevenueAndCustomerAdvancesAndDeposits
Compensation and benefits (99.2)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities (67.6)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities
Income taxes 46.9us-gaap_IncreaseDecreaseInIncomeTaxes 27.6us-gaap_IncreaseDecreaseInIncomeTaxes
Other assets and liabilities (14.4)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet (2.0)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet
Cash provided by operating activities 268.2us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 203.5us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
Investing activities:    
Capital expenditures (40.0)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (35.6)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Acquisition of business, net of cash acquired (21.2)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired (68.1)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
Purchases of short-term investments (171.6)us-gaap_PaymentsToAcquireShortTermInvestments (87.5)us-gaap_PaymentsToAcquireShortTermInvestments
Proceeds from maturities of short-term investments 175.7us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments 95.5us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments
Proceeds from sale of property 0.1us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment 0.2us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment
Other investing activities 0us-gaap_PaymentsForProceedsFromOtherInvestingActivities (3.4)us-gaap_PaymentsForProceedsFromOtherInvestingActivities
Cash used for investing activities (57.0)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations (98.9)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
Financing activities:    
Net issuance of short-term debt 183.0us-gaap_ProceedsFromRepaymentsOfShortTermDebt 72.0us-gaap_ProceedsFromRepaymentsOfShortTermDebt
Cash dividends (88.1)us-gaap_PaymentsOfDividends (80.5)us-gaap_PaymentsOfDividends
Purchases of treasury stock (168.4)us-gaap_PaymentsForRepurchaseOfCommonStock (110.0)us-gaap_PaymentsForRepurchaseOfCommonStock
Proceeds from the exercise of stock options 4.7us-gaap_ProceedsFromStockOptionsExercised 48.1us-gaap_ProceedsFromStockOptionsExercised
Excess income tax benefit from share-based compensation 4.4us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities 10.7us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities
Cash used for financing activities (64.4)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (59.7)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Effect of exchange rate changes on cash (46.2)us-gaap_EffectOfExchangeRateOnCashAndCashEquivalents 0.2us-gaap_EffectOfExchangeRateOnCashAndCashEquivalents
Increase in cash and cash equivalents 100.6us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 45.1us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease
Cash and cash equivalents at beginning of period 1,191.3us-gaap_CashAndCashEquivalentsAtCarryingValue 1,200.9us-gaap_CashAndCashEquivalentsAtCarryingValue
Cash and cash equivalents at end of period $ 1,291.9us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,246.0us-gaap_CashAndCashEquivalentsAtCarryingValue