BUSINESS AND ASSET ACQUISITIONS & DIVESTITURES - Narrative (Details) $ in Thousands	1 Months Ended					3 Months Ended								12 Months Ended
	Sep. 29, 2017 USD ($)	Apr. 30, 2017 USD ($)	Sep. 30, 2015 USD ($)	Jul. 31, 2015 USD ($)	Jun. 30, 2015 USD ($)	Mar. 31, 2018 USD ($)	Dec. 31, 2017 USD ($)	Sep. 29, 2017 USD ($)	Jun. 30, 2017 USD ($)	Mar. 31, 2017 USD ($)	Dec. 31, 2016 USD ($)	Sep. 30, 2016 USD ($)	Jul. 01, 2016 USD ($)	Mar. 31, 2018 USD ($) business	Mar. 31, 2017 USD ($) business acquisition	Mar. 31, 2016 USD ($) acquisition
Business Acquisitions
Total aggregate purchase price														$ 268,377	$ 189,084	$ 916,527
Goodwill						$ 1,121,170				$ 984,867				1,121,170	$ 984,867
Number of non-core businesses sold | business															2
Proceeds from divestiture of businesses															$ 30,700
Gross carrying amount						610,950				544,601				610,950	544,601
Contingent consideration liability						0				22,426				0	22,426	73,423
Net income (loss)						(19,595)	$ 118,333	$ 205,086	$ 124,710	86,874	$ 129,469	$ (2,508)	$ 105,729	420,961	311,072	437,366
Pro forma net income (loss)																$ 410,100
Customer-related intangibles
Business Acquisitions
Gross carrying amount						306,943				260,704				306,943	260,704
Licenses and other intangibles
Business Acquisitions
Gross carrying amount						$ 304,007				283,897				$ 304,007	$ 283,897
Other acquisitions
Business Acquisitions
Number of acquisitions completed														2	4	8
Total aggregate purchase price															$ 189,100
Cash acquired from acquisitions																$ 3,700
Property and equipment, net																$ 14,400
Goodwill										63,800					63,800
Intangibles										47,400					47,400
Intangible assets, weighted average useful life																4 years
Liabilities incurred										63,300					63,300	$ 17,700
Purchase consideration net cash																53,300
Goodwill and other intangible assets, net																57,400
AGM Automotive
Business Acquisitions
Total aggregate purchase price		$ 213,718
Goodwill		75,280
Intangibles		82,000
Net assets (liabilities) assumed		$ 56,438
AGM Automotive | Customer-related intangibles
Business Acquisitions
Intangible assets, weighted average useful life		10 years
Power Modules from Ericsson
Business Acquisitions
Total aggregate purchase price	$ 54,659
Goodwill	9,744							9,744
Intangibles	33,300							33,300
Net assets (liabilities) assumed	$ 11,615							11,615
Power Modules from Ericsson | Customer-related intangibles
Business Acquisitions
Intangible assets, weighted average useful life	10 years
Finite-lived intangibles	$ 16,000							16,000
Power Modules from Ericsson | Licenses and other intangibles
Business Acquisitions
Intangible assets, weighted average useful life	8 years
Finite-lived intangibles	$ 17,300							$ 17,300
2016 Acquisitions
Business Acquisitions
Net income (loss)																41,400
Mirror Controls International
Business Acquisitions
Property and equipment, net					$ 38,800
Intangibles					$ 236,800
Intangible assets, weighted average useful life					10 years
Total aggregate purchase price					$ 555,200
Percent of outstanding share capital acquired					100.00%
Cash and equivalents					$ 27,700
Other liabilities					61,500
Acquisition related costs															$ 6,600
Mirror Controls International | Customer-related intangibles
Business Acquisitions
Gross carrying amount					75,500
Mirror Controls International | Licenses and other intangibles
Business Acquisitions
Gross carrying amount					$ 161,300
Nextracker
Business Acquisitions
Total aggregate purchase price			$ 240,800
Cash acquired from acquisitions			13,200
Intangibles			108,700
Liabilities assumed			81,000
Total aggregate purchase price			$ 321,800
Percent of outstanding share capital acquired			100.00%
Contingent consideration liability			$ 97,200
Released valuation allowance																$ 43,000
Nextracker | Customer-related intangibles
Business Acquisitions
Intangible assets, weighted average useful life			4 years
Increase in intangible assets			$ 47,300
Nextracker | Licenses and other intangibles
Business Acquisitions
Intangible assets, weighted average useful life			6 years
Increase in intangible assets			$ 61,400
Bose
Business Acquisitions
Number of acquisitions completed | business															2
Total aggregate purchase price															$ 161,700
Cash acquired from acquisitions															18,000
Inventories										73,100					73,100
Property and equipment, net										$ 60,800					60,800
Liabilities assumed															$ 28,000
Bose | Customer-related intangibles
Business Acquisitions
Intangible assets, weighted average useful life															6 years 6 months
Alcatel-Lucent
Business Acquisitions
Total aggregate purchase price				$ 67,500
Inventories				55,100
Property and equipment, net				10,000
Goodwill				3,600
Intangibles				2,100
Net assets (liabilities) assumed				$ (3,300)
Alcatel-Lucent | Customer-related intangibles
Business Acquisitions
Intangible assets, weighted average useful life				5 years
High Reliability Solutions (HRS) | Other acquisitions
Business Acquisitions
Number of acquisitions completed | acquisition																4
Industrial & Emerging Industries (IEI) | Other acquisitions
Business Acquisitions
Number of acquisitions completed | acquisition																2
Communications Enterprise Compute (CEC) | Other acquisitions
Business Acquisitions
Number of acquisitions completed | acquisition																1
Consumer Technologies Group (CTG) | Other acquisitions
Business Acquisitions
Number of acquisitions completed | acquisition																1