DEFINED BENEFIT PLANS - Narrative (Details) $ in Millions	3 Months Ended
Apr. 03, 2021 USD ($)
Defined Benefit Plans
Defined Benefit Plan Disclosure [Line Items]
Defined benefit plan, expected contribution amount	$ 3.2
OPEB Plans
Defined Benefit Plan Disclosure [Line Items]
Defined benefit plan, expected contribution amount	$ 0.7
Defined benefit plan, minimum annual contribution, percent	0.00%
Defined contribution plan, maximum annual contributions per employee, percent	25.00%

Defined Benefit Plan, Maximum Annual Employee Contribution, Percent

No definition available.

Name:	cnr_DefinedBenefitPlanMaximumAnnualEmployeeContributionPercent
Namespace Prefix:	cnr_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Defined Benefit Plan, Minimum Annual Employee Contribution, Percent

+ References

No definition available.

+ Details

Name:	cnr_DefinedBenefitPlanMinimumAnnualContributionPercent
Namespace Prefix:	cnr_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedBenefitPlanDisclosureLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Amount of contribution expected to be received by defined benefit plan from employer in remainder of current fiscal year. Excludes contribution previously paid by employer in current fiscal year.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 20
-Section 50
-Paragraph 6
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=118255775&loc=d3e2709-114920

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 20
-Section 55
-Paragraph 18
-URI http://asc.fasb.org/extlink&oid=118257860&loc=d3e4587-114921

+ Details

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

- Details

Name:	us-gaap_RetirementPlanTypeAxis=us-gaap_PensionPlansDefinedBenefitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_RetirementPlanTypeAxis=us-gaap_OtherPostretirementBenefitPlansDefinedBenefitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: