Name:	rbc_FinitelivedintangibleassetsimpairmentsummaryLineItems
Namespace Prefix:	rbc_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

Amount of write-down of assets recognized in the income statement. Includes, but is not limited to, losses from tangible assets, intangible assets and goodwill.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 28

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 360

-SubTopic 10

-Section 45

-Paragraph 4

-URI http://asc.fasb.org/extlink&oid=8077374&loc=d3e2420-110228

+ Details

Name:	us-gaap_AssetImpairmentCharges
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of increase (decrease) in the value of a contingent consideration liability, including, but not limited to, differences arising upon settlement.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 805

-SubTopic 30

-Section 50

-Paragraph 4

-Subparagraph (a)(1)

-URI http://asc.fasb.org/extlink&oid=35744584&loc=d3e7008-128479

+ Details

Name:	us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The amount of impairment loss recognized in the period resulting from the write-down of the carrying amount of a finite-lived intangible asset to fair value.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 350

-SubTopic 30

-Section 50

-Paragraph 3

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=26713463&loc=d3e16373-109275

+ Details

Name:	us-gaap_ImpairmentOfIntangibleAssetsFinitelived
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The charge against earnings resulting from the write down of long lived assets other than goodwill due to the difference between the carrying value and lower fair value.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 230

-SubTopic 10

-Section 45

-Paragraph 28

-URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585

Reference 2: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 360

-SubTopic 10

-Section 50

-Paragraph 2

-Subparagraph (b)

-URI http://asc.fasb.org/extlink&oid=6391110&loc=d3e2921-110230

+ Details

Name:	us-gaap_OtherAssetImpairmentCharges
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=rbc_TechnologyMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=us-gaap_CustomerRelationshipsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis=us-gaap_OtherIntangibleAssetsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=rbc_ClimateSolutionsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=rbc_CommercialandIndustrialSystemsDomain
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=rbc_PowerTransmissionSolutionsDomain
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Accounting Policies Intangible Impairment Details (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Finite-lived intangible assets, impairment summary [Line Items]
Other Asset Impairment Charges	$ 21.1us-gaap_OtherAssetImpairmentCharges
Asset Impairments and Other, Net	40.0us-gaap_AssetImpairmentCharges	4.7us-gaap_AssetImpairmentCharges	0us-gaap_AssetImpairmentCharges
Other Intangible Assets [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	18.9
Technology [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	7.8	16.2
Customer Relationships [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	10.7	0.8
Commercial and Industrial Systems [Domain]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		17.0
Other Asset Impairment Charges	0
Less: Gain from Adjustment to the Fair Value of a Contingent Consideration Liability		12.3
Asset Impairments and Other, Net	0	4.7
Commercial and Industrial Systems [Domain] \| Other Intangible Assets [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	0
Commercial and Industrial Systems [Domain] \| Technology [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		16.2
Commercial and Industrial Systems [Domain] \| Customer Relationships [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		0.8
Climate Solutions [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	7.8
Other Asset Impairment Charges	6.0
Less: Gain from Adjustment to the Fair Value of a Contingent Consideration Liability		0
Asset Impairments and Other, Net	13.8	0
Climate Solutions [Member] \| Other Intangible Assets [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	7.8
Climate Solutions [Member] \| Technology [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		0
Climate Solutions [Member] \| Customer Relationships [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		0
Power Transmission Solutions [Domain]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	11.1
Other Asset Impairment Charges	15.1
Less: Gain from Adjustment to the Fair Value of a Contingent Consideration Liability		0
Asset Impairments and Other, Net	26.2	0
Power Transmission Solutions [Domain] \| Other Intangible Assets [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges	11.1
Power Transmission Solutions [Domain] \| Technology [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		0
Power Transmission Solutions [Domain] \| Customer Relationships [Member]
Finite-lived intangible assets, impairment summary [Line Items]
Impairment Charges		$ 0