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Revenue and Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 28, 2018	Sep. 29, 2017	Sep. 28, 2018	Sep. 29, 2017
Segment Reporting Information [Line Items]
Revenue	$ 1,541.7	$ 1,390.9	$ 4,375.2	$ 4,165.6
United States
Segment Reporting Information [Line Items]
Revenue	221.6		638.3
United Kingdom
Segment Reporting Information [Line Items]
Revenue	241.6		717.6
Hong Kong
Segment Reporting Information [Line Items]
Revenue	361.0		1,126.8
Singapore
Segment Reporting Information [Line Items]
Revenue	573.1		1,439.8
Other
Segment Reporting Information [Line Items]
Revenue	144.4		452.7
Power Solutions Group
Segment Reporting Information [Line Items]
Revenue	810.2	706.4	2,251.0	2,121.6
Power Solutions Group | United States
Segment Reporting Information [Line Items]
Revenue	102.3		295.0
Power Solutions Group | United Kingdom
Segment Reporting Information [Line Items]
Revenue	124.9		368.0
Power Solutions Group | Hong Kong
Segment Reporting Information [Line Items]
Revenue	201.9		636.5
Power Solutions Group | Singapore
Segment Reporting Information [Line Items]
Revenue	332.8		805.3
Power Solutions Group | Other
Segment Reporting Information [Line Items]
Revenue	48.3		146.2
Analog Solutions Group
Segment Reporting Information [Line Items]
Revenue	531.7	491.6	1,541.1	1,463.7
Analog Solutions Group | United States
Segment Reporting Information [Line Items]
Revenue	87.8		251.9
Analog Solutions Group | United Kingdom
Segment Reporting Information [Line Items]
Revenue	81.9		243.4
Analog Solutions Group | Hong Kong
Segment Reporting Information [Line Items]
Revenue	124.1		379.7
Analog Solutions Group | Singapore
Segment Reporting Information [Line Items]
Revenue	191.7		510.7
Analog Solutions Group | Other
Segment Reporting Information [Line Items]
Revenue	46.2		155.4
Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenue	199.8	$ 192.9	583.1	$ 580.3
Intelligent Sensing Group | United States
Segment Reporting Information [Line Items]
Revenue	31.5		91.4
Intelligent Sensing Group | United Kingdom
Segment Reporting Information [Line Items]
Revenue	34.8		106.2
Intelligent Sensing Group | Hong Kong
Segment Reporting Information [Line Items]
Revenue	35.0		110.6
Intelligent Sensing Group | Singapore
Segment Reporting Information [Line Items]
Revenue	48.6		123.8
Intelligent Sensing Group | Other
Segment Reporting Information [Line Items]
Revenue	49.9		151.1
OEM
Segment Reporting Information [Line Items]
Revenue	476.8		1,455.8
OEM | Power Solutions Group
Segment Reporting Information [Line Items]
Revenue	198.6		616.5
OEM | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenue	213.1		640.7
OEM | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenue	65.1		198.6
Distributor
Segment Reporting Information [Line Items]
Revenue	967.7		2,644.1
Distributor | Power Solutions Group
Segment Reporting Information [Line Items]
Revenue	565.1		1,499.7
Distributor | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenue	280.4		792.0
Distributor | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenue	122.2		352.4
Electronic Manufacturing Service Provider
Segment Reporting Information [Line Items]
Revenue	97.2		275.3
Electronic Manufacturing Service Provider | Power Solutions Group
Segment Reporting Information [Line Items]
Revenue	46.5		134.8
Electronic Manufacturing Service Provider | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenue	38.2		108.4
Electronic Manufacturing Service Provider | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenue	$ 12.5		$ 32.1

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Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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