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Acquisitions (2014 Acquisitions) (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended 0 Months Ended
Apr. 04, 2015
Mar. 29, 2014
Jun. 30, 2014
Feb. 07, 2014
Jan. 03, 2015
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]          
Goodwill $ 1,561.1us-gaap_Goodwill       $ 1,004.0us-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      
Assuming Dilution (in dollars per share) $ 0.81us-gaap_EarningsPerShareDiluted $ 0.96us-gaap_EarningsPerShareDiluted      
Benshaw and Hy-Bon          
Business Acquisition, Pro Forma Information [Abstract]          
Pro forma net sales   820.9us-gaap_BusinessAcquisitionsProFormaRevenue
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Pro forma net income   43.5us-gaap_BusinessAcquisitionsProFormaNetIncomeLoss
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Basic earnings per share as reported (in dollars per share)   $ 0.97us-gaap_EarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Pro forma basic earnings per share (in dollars per share)   $ 0.97us-gaap_BusinessAcquisitionProFormaEarningsPerShareBasic
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Assuming Dilution (in dollars per share)   $ 0.96us-gaap_EarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Pro forma diluted earnings per share (in dollars per share)   $ 0.96us-gaap_BusinessAcquisitionProFormaEarningsPerShareDiluted
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.andHyBonEngineeringCompanyInc.Member
     
Benshaw          
Business Acquisition [Line Items]          
Payments to acquire business     51.0us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]          
Current assets     0.5us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Trade receivables     10.4us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Inventories     22.4us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Property, plant and equipment     4.5us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Intangible assets     14.6us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Goodwill     9.9us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Total assets acquired     62.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Accounts payable     3.7us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Current liabilities assumed     2.2us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Long-term liabilities assumed     5.4us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Net assets acquired     51.0us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_BenshawInc.Member
   
Hy-Bon          
Business Acquisition [Line Items]          
Payments to acquire business       78.0us-gaap_PaymentsToAcquireBusinessesGross
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]          
Current assets       1.7us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Trade receivables       11.5us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentAssetsReceivables
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Inventories       14.3us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedInventory
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Property, plant and equipment       8.1us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Intangible assets       13.4us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Goodwill       40.6us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Other assets       0.1us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Total assets acquired       89.7us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedAssets
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Accounts payable       5.5us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesAccountsPayable
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Current liabilities assumed       5.1us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedCurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Long-term liabilities assumed       1.1us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNoncurrentLiabilitiesOther
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member
 
Net assets acquired       $ 78.0us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredGoodwillAndLiabilitiesAssumedNet
/ us-gaap_BusinessAcquisitionAxis
= rbc_HyBonEngineeringCompanyInc.Member