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Condensed Consolidated Statement of Cash Flows (Unaudited) (USD $)
In Millions, unless otherwise specified
6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Operating activities:    
Net income $ 420.2us-gaap_NetIncomeLoss $ 378.4us-gaap_NetIncomeLoss
Adjustments to arrive at cash provided by operating activities:    
Depreciation 66.1us-gaap_Depreciation 58.5us-gaap_Depreciation
Amortization of intangible assets 13.6us-gaap_AmortizationOfIntangibleAssets 15.8us-gaap_AmortizationOfIntangibleAssets
Share-based compensation expense 21.2us-gaap_ShareBasedCompensation 21.9us-gaap_ShareBasedCompensation
Retirement benefit expense 71.3rok_RetirementBenefitsExpenses 66.5rok_RetirementBenefitsExpenses
Pension contributions (21.3)us-gaap_PensionContributions (25.1)us-gaap_PensionContributions
Net loss on disposition of property 0.2us-gaap_GainLossOnSaleOfPropertyPlantEquipment 0us-gaap_GainLossOnSaleOfPropertyPlantEquipment
Income tax benefit from the exercise of stock options 0us-gaap_DeferredTaxExpenseFromStockOptionsExercised 0.1us-gaap_DeferredTaxExpenseFromStockOptionsExercised
Excess income tax benefit from share-based compensation (6.6)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities (18.6)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities
Changes in assets and liabilities, excluding effects of acquisitions and foreign currency adjustments:    
Receivables 81.2us-gaap_IncreaseDecreaseInReceivables (10.9)us-gaap_IncreaseDecreaseInReceivables
Inventories (34.6)us-gaap_IncreaseDecreaseInInventories (57.1)us-gaap_IncreaseDecreaseInInventories
Accounts payable 26.7us-gaap_IncreaseDecreaseInAccountsPayable 12.1us-gaap_IncreaseDecreaseInAccountsPayable
Advance payments from customers and deferred revenue 24.6us-gaap_IncreaseDecreaseInDeferredRevenueAndCustomerAdvancesAndDeposits 39.5us-gaap_IncreaseDecreaseInDeferredRevenueAndCustomerAdvancesAndDeposits
Compensation and benefits (70.3)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities (32.9)us-gaap_IncreaseDecreaseInEmployeeRelatedLiabilities
Income taxes (14.0)us-gaap_IncreaseDecreaseInIncomeTaxes (37.3)us-gaap_IncreaseDecreaseInIncomeTaxes
Other assets and liabilities (24.9)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet (4.6)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet
Cash provided by operating activities 553.4us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 406.3us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
Investing activities:    
Capital expenditures (58.0)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (58.3)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Acquisition of business, net of cash acquired (21.2)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired (81.5)us-gaap_PaymentsToAcquireBusinessesNetOfCashAcquired
Purchases of short-term investments (338.0)us-gaap_PaymentsToAcquireShortTermInvestments (310.8)us-gaap_PaymentsToAcquireShortTermInvestments
Proceeds from maturities of short-term investments 323.8us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments 197.8us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments
Proceeds from sale of property 0.2us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment 0.2us-gaap_ProceedsFromSaleOfPropertyPlantAndEquipment
Other investing activities 0us-gaap_PaymentsForProceedsFromOtherInvestingActivities (3.4)us-gaap_PaymentsForProceedsFromOtherInvestingActivities
Cash used for investing activities (93.2)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations (256.0)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
Financing activities:    
Net (repayment) issuance of short-term debt (325.0)us-gaap_ProceedsFromRepaymentsOfShortTermDebt 163.5us-gaap_ProceedsFromRepaymentsOfShortTermDebt
Issuance of long-term debt, net of discount and issuance costs 594.3us-gaap_ProceedsFromDebtNetOfIssuanceCosts 0us-gaap_ProceedsFromDebtNetOfIssuanceCosts
Cash dividends (175.9)us-gaap_PaymentsOfDividends (160.9)us-gaap_PaymentsOfDividends
Purchases of treasury stock (293.0)us-gaap_PaymentsForRepurchaseOfCommonStock (217.8)us-gaap_PaymentsForRepurchaseOfCommonStock
Proceeds from the exercise of stock options 22.7us-gaap_ProceedsFromStockOptionsExercised 83.9us-gaap_ProceedsFromStockOptionsExercised
Excess income tax benefit from share-based compensation 6.6us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities 18.6us-gaap_ExcessTaxBenefitFromShareBasedCompensationFinancingActivities
Other financing activities (1.6)us-gaap_ProceedsFromPaymentsForOtherFinancingActivities 0us-gaap_ProceedsFromPaymentsForOtherFinancingActivities
Cash used for financing activities (171.9)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (112.7)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Effect of exchange rate changes on cash (76.7)us-gaap_EffectOfExchangeRateOnCashAndCashEquivalents 1.3us-gaap_EffectOfExchangeRateOnCashAndCashEquivalents
Increase in cash and cash equivalents 211.6us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease 38.9us-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 $ 1,402.9us-gaap_CashAndCashEquivalentsAtCarryingValue $ 1,239.8us-gaap_CashAndCashEquivalentsAtCarryingValue