RESTRUCTURING COSTS - Schedule of Restructuring Accrual (Details) - USD ($) $ in Thousands	6 Months Ended
Jun. 30, 2020	Dec. 31, 2019
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	$ 5,860	$ 0
Increase (Decrease) in Restructuring Reserve	10,601
Payments for Restructuring	4,741
Commercial Industrial [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	3,236	0
Increase (Decrease) in Restructuring Reserve	5,421
Payments for Restructuring	2,185
Defense [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	535	0
Increase (Decrease) in Restructuring Reserve	2,471
Payments for Restructuring	1,936
Power [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	2,089	0
Increase (Decrease) in Restructuring Reserve	2,709
Payments for Restructuring	620
Employee Severance [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	5,860	0
Increase (Decrease) in Restructuring Reserve	9,303
Payments for Restructuring	3,443
Employee Severance [Member] \| Commercial Industrial [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	3,236	0
Increase (Decrease) in Restructuring Reserve	4,319
Payments for Restructuring	1,083
Employee Severance [Member] \| Defense [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	535	0
Increase (Decrease) in Restructuring Reserve	2,431
Payments for Restructuring	1,896
Employee Severance [Member] \| Power [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	2,089	0
Increase (Decrease) in Restructuring Reserve	2,553
Payments for Restructuring	464
Facility Closing [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	0	0
Increase (Decrease) in Restructuring Reserve	1,298
Payments for Restructuring	1,298
Facility Closing [Member] \| Commercial Industrial [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	0	0
Increase (Decrease) in Restructuring Reserve	1,102
Payments for Restructuring	1,102
Facility Closing [Member] \| Defense [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	0	0
Increase (Decrease) in Restructuring Reserve	40
Payments for Restructuring	40
Facility Closing [Member] \| Power [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	0	$ 0
Increase (Decrease) in Restructuring Reserve	156
Payments for Restructuring	$ 156

The increase (decrease) during the period in the carrying amount (including both current and noncurrent portions of the accrual) of the liability pertaining to the exit from or disposal of business activities or restructuring pursuant to a duly authorized plan, excluding costs or losses pertaining to an entity newly acquired in a business combination and to asset retirement obligations.

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3602-108585

+ Details

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

- Definition

Amount of cash payments made as the result of exit or disposal activities. Excludes payments associated with a discontinued operation or an asset retirement obligation.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
-URI http://asc.fasb.org/extlink&oid=6394359&loc=d3e17939-110869

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 17
-Subparagraph (f)
-URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3367-108585

+ Details

Name:	us-gaap_PaymentsForRestructuring
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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_RestructuringCostAndReserveLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Carrying amount (including both current and noncurrent portions of the accrual) as of the balance sheet date pertaining to a specified type of cost associated with exit from or disposal of business activities or restructuring pursuant to a duly authorized plan.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
-URI http://asc.fasb.org/extlink&oid=6394359&loc=d3e17939-110869

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SAB TOPIC 5.P.4(b))
-URI http://asc.fasb.org/extlink&oid=115931487&loc=d3e140904-122747

+ Details

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

- Details

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

- Details

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

- Details

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

- Details

Name:	us-gaap_RestructuringCostAndReserveAxis=us-gaap_EmployeeSeveranceMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_RestructuringCostAndReserveAxis=us-gaap_FacilityClosingMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: