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Retirement Plans (Schedule Of Defined Benefit Pension Assets Investment) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets $ 126.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets $ 128.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets $ 109.5us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
Equity investments, Target Allocation 100.00%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocations    
Target Return 7.50%rbc_DefinedBenefitPensionAssetsTargetReturn    
Equity investments, Actual Allocation 100.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations 100.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations  
Other Credit Derivatives [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Equity investments, Target Allocation 5.00%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_OtherCreditDerivativesMember
   
Target Return 7.00%rbc_DefinedBenefitPensionAssetsTargetReturn
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_OtherCreditDerivativesMember
   
Equity investments, Actual Allocation 5.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_OtherCreditDerivativesMember
8.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_OtherCreditDerivativesMember
 
Fixed Income Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Equity investments, Target Allocation 19.00%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
   
Fixed income, Target Return minimum 3.70%rbc_DefinedBenefitPlanTargetAllocationPercentageOfFixedInvestmentIncomeSecuritiesRangeMinimum
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
   
Fixed income, Target Return maximum 4.40%rbc_DefinedBenefitPlanTargetAllocationPercentageOfFixedInvestmentIncomeSecuritiesRangeMaximum
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
   
Equity investments, Actual Allocation 24.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
0.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
 
U S Equity Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Equity investments, Target Allocation 76.00%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
   
Equity investments, Target Return minimum 6.70%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocationsRangeMinimum
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
   
Equity investments, Target Return maximum 8.40%us-gaap_DefinedBenefitPlanTargetPlanAssetAllocationsRangeMaximum
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
   
Equity investments, Actual Allocation 71.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
69.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
 
Common Collective Trust Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets   1.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Common Collective Trust Funds [Member] | Fixed Income Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 9.5us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
12.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Common Collective Trust Funds [Member] | U S Equity Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 23.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
28.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 1 [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 81.7us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
65.8us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
 
Fair Value, Inputs, Level 1 [Member] | Common Collective Trust Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets   0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 1 [Member] | Common Collective Trust Funds [Member] | Fixed Income Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 1 [Member] | Common Collective Trust Funds [Member] | U S Equity Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 2 [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 33.4us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
52.7us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
 
Fair Value, Inputs, Level 2 [Member] | Common Collective Trust Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets   1.6us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 2 [Member] | Common Collective Trust Funds [Member] | Fixed Income Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 9.5us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
12.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 2 [Member] | Common Collective Trust Funds [Member] | U S Equity Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 23.9us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
28.0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 3 [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 11.5us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
10.1us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
9.2us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
Fair Value, Inputs, Level 3 [Member] | Common Collective Trust Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets   0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 3 [Member] | Common Collective Trust Funds [Member] | Fixed Income Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= us-gaap_FixedIncomeFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
 
Fair Value, Inputs, Level 3 [Member] | Common Collective Trust Funds [Member] | U S Equity Funds [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets $ 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember
$ 0us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ us-gaap_DefinedBenefitPlanByPlanAssetCategoriesAxis
= rbc_USEquityFundsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
/ us-gaap_RestrictedCashAndCashEquivalentsCashAndCashEquivalentsAxis
= rbc_CommonCollectiveTrustFundsMember