Derivative Instruments (Schedule Of Derivatives Under Enforceable Master Netting Agreements) (Details) (USD $) In Millions, unless otherwise specified	Apr. 04, 2015	Jan. 03, 2015
Prepaid Expenses and Other Current Assets \| Currency Forward Contracts
Derivative Asset, Gross Amounts as Presented in the Condensed Balance Sheet	$ 2.5	$ 1.6
Derivative Asset, Derivative Contract Amounts Subject to Right of Offset	(1.6)	(1.3)
Derivative Asset, Derivative Contracts as Presented on a Net Basis	0.9	0.3
Prepaid Expenses and Other Current Assets \| Commodity Forward Contracts
Derivative Asset, Gross Amounts as Presented in the Condensed Balance Sheet	3.6	2.3
Derivative Asset, Derivative Contract Amounts Subject to Right of Offset	(3.6)	(2.3)
Derivative Asset, Derivative Contracts as Presented on a Net Basis	0	0
Other Noncurrent Assets \| Currency Forward Contracts
Derivative Asset, Gross Amounts as Presented in the Condensed Balance Sheet	1.2
Derivative Asset, Derivative Contract Amounts Subject to Right of Offset	(1.1)
Derivative Asset, Derivative Contracts as Presented on a Net Basis	0.1
Other Noncurrent Assets \| Commodity Forward Contracts
Derivative Asset, Gross Amounts as Presented in the Condensed Balance Sheet	0.3
Derivative Asset, Derivative Contract Amounts Subject to Right of Offset	0
Derivative Asset, Derivative Contracts as Presented on a Net Basis	0.3
Hedging Obligations (current) \| Currency Forward Contracts
Derivative Liability, Gross Amounts as Presented in the Condensed Balance Sheet	15.1	17.5
Derivative Liability, Derivative Contract Amounts Subject to Right of Offset	(1.6)	(1.3)
Derivative Liability, Derivative Contracts as Presented on a Net Basis	13.5	16.2
Hedging Obligations (current) \| Commodity Forward Contracts
Derivative Liability, Gross Amounts as Presented in the Condensed Balance Sheet	11.5	12.2
Derivative Liability, Derivative Contract Amounts Subject to Right of Offset	(3.6)	(2.3)
Derivative Liability, Derivative Contracts as Presented on a Net Basis	7.9	9.9
Hedging Obligations (non-current) \| Currency Forward Contracts
Derivative Liability, Gross Amounts as Presented in the Condensed Balance Sheet	14.1	10.5
Derivative Liability, Derivative Contract Amounts Subject to Right of Offset	(1.1)	0
Derivative Liability, Derivative Contracts as Presented on a Net Basis	13.0	10.5
Hedging Obligations (non-current) \| Commodity Forward Contracts
Derivative Liability, Gross Amounts as Presented in the Condensed Balance Sheet		0.1
Derivative Liability, Derivative Contract Amounts Subject to Right of Offset		0
Derivative Liability, Derivative Contracts as Presented on a Net Basis		$ 0.1

Fair value, after effects of master netting arrangements, deduction of assets not subject to a master netting arrangement and elected not to be offset, of financial asset or other contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, offset against an obligation to return collateral.

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 50

-Paragraph 3

-Subparagraph (e)

-URI http://asc.fasb.org/extlink&oid=51824906&loc=SL20225862-175312

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 55

-Paragraph 13

-URI http://asc.fasb.org/extlink&oid=51825145&loc=SL20226016-175313

+ Details

Name:	us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Fair value of financial asset or other contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, elected not to be offset, deducted from derivative assets.

+ References

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 55

-Paragraph 13

-URI http://asc.fasb.org/extlink&oid=51825145&loc=SL20226016-175313

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 50

-Paragraph 3

-Subparagraph (d)(1)(i)

-URI http://asc.fasb.org/extlink&oid=51824906&loc=SL20225862-175312

+ Details

Name:	us-gaap_DerivativeAssetNotOffsetPolicyElectionDeduction
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Fair value, after the effects of master netting arrangements, of a financial asset or other contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset. Includes assets not subject to a master netting arrangement and not elected to be offset.

+ References

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 825

-SubTopic 10

-Section 50

-Paragraph 10

-Subparagraph (a)

-URI http://asc.fasb.org/extlink&oid=49121117&loc=d3e13433-108611

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

-Publisher FASB

-Name Accounting Standards Codification

-Topic 815

-SubTopic 10

-Section 45

-Paragraph 5

-URI http://asc.fasb.org/extlink&oid=6945355&loc=d3e41228-113958

Reference 3: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 825

-SubTopic 10

-Section 50

-Paragraph 15

-URI http://asc.fasb.org/extlink&oid=49121117&loc=d3e13495-108611

Reference 4: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 50

-Paragraph 3

-Subparagraph (c)

-URI http://asc.fasb.org/extlink&oid=51824906&loc=SL20225862-175312

Reference 5: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 210

-SubTopic 20

-Section 55

-Paragraph 10

-URI http://asc.fasb.org/extlink&oid=51825145&loc=SL20226008-175313

Reference 6: http://www.xbrl.org/2003/role/presentationRef

-Publisher FASB

-Name Accounting Standards Codification

-Topic 815

-SubTopic 10

-Section 45

-Paragraph 6

-URI http://asc.fasb.org/extlink&oid=6945355&loc=d3e41271-113958

+ Details

Name:	us-gaap_DerivativeAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Fair value, after the effects of master netting arrangements, of a financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset. Includes liabilities not subject to a master netting arrangement and not elected to be offset.

+ References

+ Details

Name:	us-gaap_DerivativeLiabilities
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Fair value, after effects of master netting arrangements, deduction of liabilities not subject to a master netting arrangement and elected not to be offset, of financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, offset against the right to receive collateral.

+ References

+ Details

Name:	us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Fair value of financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, elected not to be offset, deducted from derivative liabilities.

+ References

+ Details

Name:	us-gaap_DerivativeLiabilityNotOffsetPolicyElectionDeduction
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Details

Name:	us-gaap_BalanceSheetLocationAxis=rbc_HedgingObligationsCurrentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_BalanceSheetLocationAxis=rbc_HedgingObligationsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_BalanceSheetLocationAxis=us-gaap_OtherNoncurrentAssetsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_BalanceSheetLocationAxis=us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: