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Goodwill And Intangible Assets (Schedule Of Intangible Assets) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Apr. 04, 2015
Jan. 03, 2015
Finite-Lived Intangible Assets [Line Items]    
Gross Value $ 989.2us-gaap_FiniteLivedIntangibleAssetsGross $ 444.5us-gaap_FiniteLivedIntangibleAssetsGross
Accumulated Amortization 254.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization 242.2us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Intangible Assets 1,111.1us-gaap_IntangibleAssetsGrossExcludingGoodwill 444.5us-gaap_IntangibleAssetsGrossExcludingGoodwill
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 15 years  
Gross Value 738.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
256.8us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Accumulated Amortization 130.2us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
122.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
Technology    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 11 years  
Gross Value 192.9us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
129.4us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
Accumulated Amortization 79.4us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
74.9us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_TechnologyMember
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 12 years  
Gross Value 32.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
33.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Accumulated Amortization 20.4us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
20.1us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
Patent and Engineering Drawings    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 5 years  
Gross Value 16.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_PatentsEngineeringDrawingsMember
16.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_PatentsEngineeringDrawingsMember
Accumulated Amortization 16.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_PatentsEngineeringDrawingsMember
16.6us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rbc_PatentsEngineeringDrawingsMember
Non-compete Agreements    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 5 years  
Gross Value 8.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
8.6us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Accumulated Amortization 8.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
8.0us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Non-amortizable trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Value $ 121.9us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
$ 0us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember