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Acquisitions (2015 Acquisitions) (Details) (USD $)
3 Months Ended 0 Months Ended 2 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Jan. 30, 2015
Apr. 04, 2015
Jan. 03, 2015
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]          
Goodwill $ 1,561,100,000us-gaap_Goodwill     $ 1,561,100,000us-gaap_Goodwill $ 1,004,000,000us-gaap_Goodwill
Business Acquisition, Pro Forma Information [Abstract]          
Basic earnings per share as reported (in dollars per share) $ 0.81us-gaap_EarningsPerShareBasic $ 0.97us-gaap_EarningsPerShareBasic      
Diluted earnings per share as reported (in dollars per share) $ 0.81us-gaap_EarningsPerShareDiluted $ 0.96us-gaap_EarningsPerShareDiluted      
Power Transmission Solutions          
Business Acquisition [Line Items]          
Consideration transferred     1,408,000,000us-gaap_BusinessCombinationConsiderationTransferred1
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]          
Current assets     10,200,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Trade receivables     71,300,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Inventories     108,500,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Property, plant and equipment     188,600,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Intangible assets     670,200,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Goodwill     561,800,000us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Total assets acquired     1,610,600,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Accounts payable     53,900,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Current liabilities assumed     22,700,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Long-term liabilities assumed     126,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Net assets acquired     1,408,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Valuation of net assets acquired     1,408,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Business Combination, Acquired Intangible Assets [Abstract]          
Weighted Average Amortization Period (Years)     16 years 8 months 12 days    
Finite-lived Intangible Assets Acquired, Gross     548,300,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Intangible assets     670,200,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
   
Revenues related to acquisition       106,800,000us-gaap_BusinessCombinationProFormaInformationRevenueOfAcquireeSinceAcquisitionDateActual
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
 
Earnings related to acquisition       10,800,000us-gaap_BusinessCombinationProFormaInformationEarningsOrLossOfAcquireeSinceAcquisitionDateActual
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
 
Purchase accounting adjustments and transaction costs excluded from earnings related to acquisition       22,700,000rbc_BusinessAcquisitionProFormaInformationPurchaseAccountingAdjustmentsandTransactionCostsExcludedfromProFormaInformation
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
 
Business Acquisition, Pro Forma Information [Abstract]          
Pro forma net sales 960,300,000us-gaap_BusinessAcquisitionsProFormaRevenue
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
953,000,000us-gaap_BusinessAcquisitionsProFormaRevenue
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Pro forma net income 38,100,000us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
52,800,000us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Basic earnings per share as reported (in dollars per share) $ 0.81us-gaap_EarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
$ 0.97us-gaap_EarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Pro forma basic earnings per share (in dollars per share) $ 0.85us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
$ 1.17us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Diluted earnings per share as reported (in dollars per share) $ 0.81us-gaap_EarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
$ 0.96us-gaap_EarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Pro forma diluted earnings per share (in dollars per share) $ 0.85us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
$ 1.16us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
     
Term Facility | 2015 Credit Agreement          
Business Acquisition [Line Items]          
Debt instrument term     5 years    
Principal amount     1,250,000,000.00us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= rbc_CreditAgreementEffectiveJanuary2015Member
/ us-gaap_LongtermDebtTypeAxis
= us-gaap_UnsecuredDebtMember
   
Customer Relationships          
Business Combination, Acquired Intangible Assets [Abstract]          
Weighted Average Amortization Period (Years) 15 years        
Customer Relationships | Power Transmission Solutions          
Business Combination, Acquired Intangible Assets [Abstract]          
Weighted Average Amortization Period (Years)     17 years    
Finite-lived Intangible Assets Acquired, Gross     484,700,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerRelationshipsMember
   
Technology | Power Transmission Solutions          
Business Combination, Acquired Intangible Assets [Abstract]          
Weighted Average Amortization Period (Years)     14 years 6 months    
Finite-lived Intangible Assets Acquired, Gross     63,600,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TechnologyBasedIntangibleAssetsMember
   
Trademarks | Power Transmission Solutions          
Business Combination, Acquired Intangible Assets [Abstract]          
Indefinite-lived Intangible Assets Acquired, Gross     121,900,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIndefiniteLivedIntangibleAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TrademarksMember
   
Level 3 | Power Transmission Solutions          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]          
Net assets acquired     1,408,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
Valuation of net assets acquired     $ 1,408,000,000us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_PowerTransmissionSolutionsMember
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member