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Debt And Bank Credit Facilities (Narrative) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended 0 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Jan. 30, 2015
Debt Instrument [Line Items]      
Senior Notes $ 600.0us-gaap_SeniorNotes $ 750.0us-gaap_SeniorNotes  
Repayment of term loan   150.0rbc_RepaymentOfTermLoan  
Interest rate based on margin over London Inter-Bank Offered Rate 0.90%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1    
Revolving credit facility 500.0us-gaap_LineOfCredit    
Line of credit facility, amount outstanding end of period 17.0rbc_Lineofcreditfacilityamountoutstandingendofperiod 0rbc_Lineofcreditfacilityamountoutstandingendofperiod  
Average balance outstanding under the Facility 20.3us-gaap_LineOfCreditFacilityAverageOutstandingAmount 0.6us-gaap_LineOfCreditFacilityAverageOutstandingAmount  
Facility average interest rate 1.40%us-gaap_DebtWeightedAverageInterestRate 1.40%us-gaap_DebtWeightedAverageInterestRate  
Letters of Credit Outstanding, Amount   27.2us-gaap_LettersOfCreditOutstandingAmount  
Available borrowing capacity under the Facility 455.8us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity    
Other notes payable amount outstanding 16.8us-gaap_OtherNotesPayable 17.4us-gaap_OtherNotesPayable  
Weighted average interest rate of other notes payable 2.50%us-gaap_LongtermDebtWeightedAverageInterestRate 2.70%us-gaap_LongtermDebtWeightedAverageInterestRate  
Debt Instrument, Fair Value Disclosure 666.8us-gaap_DebtInstrumentFairValue 779.6us-gaap_DebtInstrumentFairValue  
2011 Notes [Member] | Senior Notes [Member]      
Debt Instrument [Line Items]      
Senior Notes 500.0us-gaap_SeniorNotes
/ us-gaap_DebtInstrumentAxis
= rbc_A2011NotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Debt Instrument, Number Of Tranches In Private Placement 7rbc_DebtInstrumentNumberOfTranchesInPrivatePlacement
/ us-gaap_DebtInstrumentAxis
= rbc_A2011NotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
2007 Notes [Member] | Senior Notes [Member]      
Debt Instrument [Line Items]      
Interest rate based on margin over LIBOR 10000000000.00%us-gaap_ShortTermDebtPercentageBearingVariableInterestRate
/ us-gaap_DebtInstrumentAxis
= rbc_A2007NotesMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_SeniorNotesMember
   
Subsequent Event [Member]      
Debt Instrument [Line Items]      
amortization rate per annum     5.00%rbc_DebtInstrumentAmortizationRatePerAnnum
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Debt Instrument, Amortization Rate Per Annum, After Two Years     7.50%rbc_DebtInstrumentAmortizationRatePerAnnumAfterTwoYears
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Debt Instrument, Amortization Rate Per Annum, Last Two Years     10.00%rbc_DebtInstrumentAmortizationRatePerAnnumLastTwoYears
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Subsequent Event [Member] | Term Facility [Member] | Line of Credit [Member]      
Debt Instrument [Line Items]      
Revolving credit facility     1,250.0us-gaap_LineOfCredit
/ us-gaap_DebtInstrumentAxis
= rbc_TermFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LineOfCreditMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Debt Instrument, Term     5 years
Subsequent Event [Member] | Multicurrency Revolving Facility [Member] | Line of Credit [Member]      
Debt Instrument [Line Items]      
Revolving credit facility     500.0us-gaap_LineOfCredit
/ us-gaap_DebtInstrumentAxis
= rbc_MulticurrencyRevolvingFacilityMember
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_LineOfCreditMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Debt Instrument, Term     5 years
Minimum [Member] | 2011 Notes [Member] | Senior Notes [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Term 7 years    
Maximum [Member] | 2011 Notes [Member] | Senior Notes [Member]      
Debt Instrument [Line Items]      
Debt Instrument, Term 12 years