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Derivative Instruments (Narrative) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Apr. 04, 2015
Jan. 03, 2015
Derivative [Line Items]    
Net derivative losses on closed hedge instruments in AOCI that will be realized in earnings when the hedged items impact earnings $ 6.0us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet $ 2.2us-gaap_DerivativeInstrumentsGainLossRecognizedInOtherComprehensiveIncomeEffectivePortionNet
Net AOCI hedging component (31.2)us-gaap_AccumulatedOtherComprehensiveIncomeLossCumulativeChangesInNetGainLossFromCashFlowHedgesEffectNetOfTax  
Net current deferred losses expected to be realized in the next twelve months (9.6)rbc_NetCurrentDeferredGainsLossesExpectedToBeRealized  
Receive-Variable/Pay-Fixed Interest Rate Swap    
Derivative [Line Items]    
Notional Amount (in U.S. Dollars) $ 100.0invest_DerivativeNotionalAmount
/ us-gaap_DerivativeInstrumentRiskAxis
= rbc_ReceiveVariablePayFixedInterestRateSwapMember