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Goodwill And Intangible Assets (Schedule Of Accumulated Amortization) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 $ 200.1us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization    
Amortization 46.7us-gaap_AmortizationOfIntangibleAssets 44.1us-gaap_AmortizationOfIntangibleAssets 44.0us-gaap_AmortizationOfIntangibleAssets
Translation Adjustments (4.6)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments    
Accumulated Amortization, January 3, 2015 242.2us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization 200.1us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization  
Intangible Assets, Net of Amortization, December 28, 2013 244.2us-gaap_FiniteLivedIntangibleAssetsNet    
Intangible Assets, Net of Amortization, January 3, 2015 202.3us-gaap_FiniteLivedIntangibleAssetsNet 244.2us-gaap_FiniteLivedIntangibleAssetsNet  
Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 101.4us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Amortization 24.2us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Translation Adjustments (3.0)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Accumulated Amortization, January 3, 2015 122.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Technology [Member]      
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 57.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
   
Amortization 17.6us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
   
Translation Adjustments (0.6)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
   
Accumulated Amortization, January 3, 2015 74.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
   
Trademarks [Member]      
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 18.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Amortization 2.9us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Translation Adjustments (0.8)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Accumulated Amortization, January 3, 2015 20.1us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Patents [Member]      
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 15.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
   
Amortization 1.7us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
   
Translation Adjustments (0.1)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
   
Accumulated Amortization, January 3, 2015 16.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
   
Non-Compete Agreements [Member]      
Finite-Lived Intangible Assets [Line Items]      
Accumulated Amortization, December 28, 2013 7.8us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
   
Amortization 0.3us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
   
Translation Adjustments (0.1)rbc_FiniteLivedIntangibleAssetsAccumulatedAmortizationTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
   
Accumulated Amortization, January 3, 2015 $ 8.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember