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Industry Segment Information (Schedule Of Financial Information Attributable To The Reporting Segments) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Segment Reporting Information [Line Items]                      
External sales                 $ 3,257.1us-gaap_Revenues $ 3,095.7us-gaap_Revenues $ 3,166.9us-gaap_Revenues
Intersegment revenue                 0rbc_Intersegmentrevenue 0rbc_Intersegmentrevenue  
Net Sales 775.6us-gaap_SalesRevenueGoodsNet 829.8us-gaap_SalesRevenueGoodsNet 850.4us-gaap_SalesRevenueGoodsNet 801.2us-gaap_SalesRevenueGoodsNet 727.2us-gaap_SalesRevenueGoodsNet 768.2us-gaap_SalesRevenueGoodsNet 822.0us-gaap_SalesRevenueGoodsNet 778.2us-gaap_SalesRevenueGoodsNet 3,257.1us-gaap_SalesRevenueGoodsNet 3,095.7us-gaap_SalesRevenueGoodsNet 3,166.9us-gaap_SalesRevenueGoodsNet
Gross Profit 188.1us-gaap_GrossProfit 203.8us-gaap_GrossProfit 211.0us-gaap_GrossProfit 194.4us-gaap_GrossProfit 178.0us-gaap_GrossProfit 196.5us-gaap_GrossProfit 209.2us-gaap_GrossProfit 199.5us-gaap_GrossProfit 797.3us-gaap_GrossProfit 783.2us-gaap_GrossProfit 771.0us-gaap_GrossProfit
Operating Expenses                 516.3us-gaap_OperatingExpenses 494.2us-gaap_OperatingExpenses 458.2us-gaap_OperatingExpenses
Less: Impairment charges                 119.5us-gaap_GoodwillImpairmentLoss 76.3us-gaap_GoodwillImpairmentLoss 0us-gaap_GoodwillImpairmentLoss
Asset Impairments and Other, Net                 40.0us-gaap_AssetImpairmentCharges 4.7us-gaap_AssetImpairmentCharges 0us-gaap_AssetImpairmentCharges
Income From Operations (110.6)us-gaap_OperatingIncomeLoss 74.7us-gaap_OperatingIncomeLoss 87.7us-gaap_OperatingIncomeLoss 69.7us-gaap_OperatingIncomeLoss (27.8)us-gaap_OperatingIncomeLoss 78.8us-gaap_OperatingIncomeLoss 81.1us-gaap_OperatingIncomeLoss 75.9us-gaap_OperatingIncomeLoss 121.5us-gaap_OperatingIncomeLoss 208.0us-gaap_OperatingIncomeLoss 312.8us-gaap_OperatingIncomeLoss
Capital Expenditures                 83.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 82.7us-gaap_PaymentsToAcquirePropertyPlantAndEquipment 91.0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Assets 3,407.6us-gaap_Assets       3,643.5us-gaap_Assets       3,407.6us-gaap_Assets 3,643.5us-gaap_Assets 3,569.1us-gaap_Assets
Depreciation, Depletion and Amortization                 138.7us-gaap_DepreciationDepletionAndAmortization 128.5us-gaap_DepreciationDepletionAndAmortization 126.0us-gaap_DepreciationDepletionAndAmortization
Business Intersegment, Eliminations [Member]                      
Segment Reporting Information [Line Items]                      
External sales                 0us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Intersegment revenue                 (102.5)rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(95.2)rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(59.0)rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Net Sales                 (102.5)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(95.2)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
(59.0)us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Gross Profit                 0us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Operating Expenses                 0us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Less: Impairment charges                 0us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
 
Asset Impairments and Other, Net                 0us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
 
Income From Operations                 0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Capital Expenditures                 0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Assets 0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
      0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
      0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Depreciation, Depletion and Amortization                 0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersegmentEliminationMember
Intersubsegment Eliminations [Member]                      
Segment Reporting Information [Line Items]                      
Intersegment revenue                     0rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= us-gaap_IntersubsegmentEliminationsMember
Commercial and Industrial Systems [Domain]                      
Segment Reporting Information [Line Items]                      
External sales                 1,856.1us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
1,746.6us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
1,793.2us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Intersegment revenue                 78.2rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
73.6rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
40.0rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Net Sales 451.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
472.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
479.0us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
453.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
431.1us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
437.4us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
447.9us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
430.1us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
1,934.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
1,820.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
1,833.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Gross Profit                 468.2us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
461.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
451.3us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Operating Expenses                 333.9us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
311.1us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
281.9us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Less: Impairment charges                 100.7us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
64.2us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
 
Asset Impairments and Other, Net                 0us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
4.7us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
 
Income From Operations (84.2)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
33.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
47.0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
37.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
(36.7)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
41.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
34.1us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
42.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
33.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
81.8us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
169.4us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Capital Expenditures                 59.6us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
56.4us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
64.4us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Assets 2,407.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
      2,614.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
      2,407.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
2,614.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
2,572.7us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Depreciation, Depletion and Amortization                 81.5us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
67.3us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
64.6us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_CommercialandIndustrialSystemsDomain
Climate Solutions [Domain]                      
Segment Reporting Information [Line Items]                      
External sales                 1,134.8us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
1,098.6us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
1,102.7us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Intersegment revenue                 19.2rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
16.6rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
15.1rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Net Sales                 1,154.0us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
1,115.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
1,117.8us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Gross Profit                 258.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
252.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
244.8us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Operating Expenses                 137.7us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
143.6us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
141.1us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Less: Impairment charges                 7.7us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
0us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
 
Asset Impairments and Other, Net                 13.8us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
0us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
 
Income From Operations                 99.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
109.3us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
103.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Capital Expenditures                 16.8us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
17.9us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
17.8us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Assets 855.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
      823.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
      855.3us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
823.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
785.9us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Depreciation, Depletion and Amortization                 45.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
49.0us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
50.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_ClimateSolutionsDomain
Power Transmission Solutions [Domain]                      
Segment Reporting Information [Line Items]                      
External sales                 266.2us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
250.5us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
271.0us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Intersegment revenue                 5.1rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
5.0rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
3.9rbc_Intersegmentrevenue
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Net Sales 68.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
67.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
67.9us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
62.6us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
60.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
58.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
66.8us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
65.0us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
271.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
255.5us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
274.9us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Gross Profit                 70.3us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
68.5us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
74.9us-gaap_GrossProfit
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Operating Expenses                 44.7us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
39.5us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
35.2us-gaap_OperatingExpenses
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Less: Impairment charges                 11.1us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
12.1us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
12.1us-gaap_GoodwillImpairmentLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Asset Impairments and Other, Net                 26.2us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
0us-gaap_AssetImpairmentCharges
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
 
Income From Operations (33.5)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
8.0us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
7.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
6.2us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
(5.5)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
6.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
7.6us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
7.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
(11.7)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
16.9us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
39.7us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Capital Expenditures                 7.2us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
8.4us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
8.8us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Assets 145.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
      205.1us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
      145.0us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
205.1us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
210.5us-gaap_Assets
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
Depreciation, Depletion and Amortization                 12.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
12.2us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
10.7us-gaap_DepreciationDepletionAndAmortization
/ us-gaap_StatementBusinessSegmentsAxis
= rbc_PowerTransmissionSolutionsDomain
United States [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 2,359.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
2,017.6us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
2,127.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
Rest Of The World [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 $ 897.8us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
$ 1,078.1us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
$ 1,039.7us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember