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Goodwill And Intangible Assets (Schedule Of Gross Intangibles) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Goodwill [Line Items]    
Intangible assets, beginning of period $ 444.3us-gaap_FiniteLivedIntangibleAssetsGross  
Acquisitions 28.1us-gaap_IndefinitelivedIntangibleAssetsAcquired  
Translation Adjustments (9.0)us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments  
Intangible assets, end of period 444.5us-gaap_FiniteLivedIntangibleAssetsGross  
Customer Relationships [Member]    
Goodwill [Line Items]    
Weighted Average Amortization Period (Years)   11 years
Intangible assets, beginning of period 253.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
 
Acquisitions 20.5us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
 
Impairment Charges 10.7us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
0.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Translation Adjustments (6.8)us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
 
Intangible assets, end of period 256.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
253.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Technology [Member]    
Goodwill [Line Items]    
Weighted Average Amortization Period (Years)   9 years
Intangible assets, beginning of period 133.0us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
 
Acquisitions 5.2us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
 
Impairment Charges 7.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
16.2us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
Translation Adjustments (1.0)us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
 
Intangible assets, end of period 129.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
133.0us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
Trademarks [Member]    
Goodwill [Line Items]    
Weighted Average Amortization Period (Years)   12 years
Intangible assets, beginning of period 32.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
 
Acquisitions 2.0us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
 
Impairment Charges 0.4us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
 
Translation Adjustments (1.1)us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
 
Intangible assets, end of period 33.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
32.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Patents [Member]    
Goodwill [Line Items]    
Weighted Average Amortization Period (Years)   5 years
Intangible assets, beginning of period 16.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
 
Acquisitions 0us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
 
Impairment Charges 0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
 
Translation Adjustments 0us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
 
Intangible assets, end of period 16.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
16.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_PatentsMember
Non-Compete Agreements [Member]    
Goodwill [Line Items]    
Weighted Average Amortization Period (Years)   5 years
Intangible assets, beginning of period 8.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
 
Acquisitions 0.4us-gaap_IndefinitelivedIntangibleAssetsAcquired
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
 
Impairment Charges 0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
 
Translation Adjustments (0.1)us-gaap_FiniteLivedIntangibleAssetsTranslationAdjustments
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
 
Intangible assets, end of period 8.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
8.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Other Intangible Assets [Member]    
Goodwill [Line Items]    
Impairment Charges 18.9us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
 
Climate Solutions [Member]    
Goodwill [Line Items]    
Impairment Charges 7.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsMember
 
Climate Solutions [Member] | Customer Relationships [Member]    
Goodwill [Line Items]    
Impairment Charges   0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsMember
Climate Solutions [Member] | Technology [Member]    
Goodwill [Line Items]    
Impairment Charges   0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsMember
Climate Solutions [Member] | Other Intangible Assets [Member]    
Goodwill [Line Items]    
Impairment Charges 7.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsMember
 
Power Transmission Solutions [Domain]    
Goodwill [Line Items]    
Impairment Charges 11.1us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
 
Power Transmission Solutions [Domain] | Customer Relationships [Member]    
Goodwill [Line Items]    
Impairment Charges   0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Power Transmission Solutions [Domain] | Technology [Member]    
Goodwill [Line Items]    
Impairment Charges   0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Power Transmission Solutions [Domain] | Other Intangible Assets [Member]    
Goodwill [Line Items]    
Impairment Charges 11.1us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
 
Commercial and Industrial Systems [Domain]    
Goodwill [Line Items]    
Impairment Charges   17.0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Commercial and Industrial Systems [Domain] | Customer Relationships [Member]    
Goodwill [Line Items]    
Impairment Charges   0.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Commercial and Industrial Systems [Domain] | Technology [Member]    
Goodwill [Line Items]    
Impairment Charges   16.2us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Commercial and Industrial Systems [Domain] | Other Intangible Assets [Member]    
Goodwill [Line Items]    
Impairment Charges 0us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
 
Technology [Member]    
Goodwill [Line Items]    
Impairment Charges   16.2us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_TechnologyMember
Customer Relationships [Member]    
Goodwill [Line Items]    
Impairment Charges   $ 0.8us-gaap_ImpairmentOfIntangibleAssetsFinitelived
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_CustomerRelationshipsMember