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Debt And Bank Credit Facilities (Details Of The Senior Notes) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Debt Instrument [Line Items]    
Senior Notes $ 600.0us-gaap_SeniorNotes $ 750.0us-gaap_SeniorNotes
Spread on variable interest rate 0.90%us-gaap_DebtInstrumentBasisSpreadOnVariableRate1  
Notes Payable 600.0us-gaap_NotesPayable  
Floating Rate Series 2007A Mature In August 2017 [Member]    
Debt Instrument [Line Items]    
Senior Notes 100.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandSevenSeniorNotesMatureInAugustTwoThousandSeventeenMember
 
Variable rate terms Floating (1)  
Maturity date Aug. 01, 2017  
Fixed Rate Series 2011A Mature In July 2018 [Member]    
Debt Instrument [Line Items]    
Senior Notes 100.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandEighteenMember
 
Debt instrument interest rate 4.10%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandEighteenMember
 
Maturity date Jul. 01, 2018  
Fixed Rate Series 2011A Mature In July 2021 [Member]    
Debt Instrument [Line Items]    
Senior Notes 230.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyOneMember
 
Stated rate, minimum 4.80%us-gaap_DebtInstrumentInterestRateStatedPercentageRateRangeMinimum
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyOneMember
 
Stated rate, maximum 5.00%us-gaap_DebtInstrumentInterestRateStatedPercentageRateRangeMaximum
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyOneMember
 
Maturity date Jul. 01, 2021  
Fixed Rate Series 2011A Mature In July 2023 [Member]    
Debt Instrument [Line Items]    
Senior Notes $ 170.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyThreeMember
 
Stated rate, minimum 4.90%us-gaap_DebtInstrumentInterestRateStatedPercentageRateRangeMinimum
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyThreeMember
 
Stated rate, maximum 5.10%us-gaap_DebtInstrumentInterestRateStatedPercentageRateRangeMaximum
/ us-gaap_LongtermDebtTypeAxis
= rbc_FloatingRateSeriesTwoThousandElevenSeniorNotesMatureInJulyTwoThousandTwentyThreeMember
 
Maturity date Jul. 01, 2023