Revenue and Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jun. 29, 2018	Jun. 30, 2017	Jun. 29, 2018	Jun. 30, 2017
Segment Reporting Information [Line Items]
Revenues	$ 1,455.9	$ 1,338.0	$ 2,833.5	$ 2,774.7
United States
Segment Reporting Information [Line Items]
Revenues	217.5		416.7
United Kingdom
Segment Reporting Information [Line Items]
Revenues	242.4		476.0
Hong Kong
Segment Reporting Information [Line Items]
Revenues	404.9		765.8
Singapore
Segment Reporting Information [Line Items]
Revenues	433.8		866.7
Other
Segment Reporting Information [Line Items]
Revenues	157.3		308.3
Power Solutions Group
Segment Reporting Information [Line Items]
Revenues	748.2	671.4	1,440.8	1,415.2
Power Solutions Group | United States
Segment Reporting Information [Line Items]
Revenues	98.2		192.7
Power Solutions Group | United Kingdom
Segment Reporting Information [Line Items]
Revenues	124.5		243.1
Power Solutions Group | Hong Kong
Segment Reporting Information [Line Items]
Revenues	229.4		434.6
Power Solutions Group | Singapore
Segment Reporting Information [Line Items]
Revenues	244.1		472.5
Power Solutions Group | Other
Segment Reporting Information [Line Items]
Revenues	52.0		97.9
Analog Solutions Group
Segment Reporting Information [Line Items]
Revenues	513.2	468.5	1,009.4	972.1
Analog Solutions Group | United States
Segment Reporting Information [Line Items]
Revenues	85.9		164.1
Analog Solutions Group | United Kingdom
Segment Reporting Information [Line Items]
Revenues	82.4		161.5
Analog Solutions Group | Hong Kong
Segment Reporting Information [Line Items]
Revenues	133.1		255.6
Analog Solutions Group | Singapore
Segment Reporting Information [Line Items]
Revenues	157.8		319.0
Analog Solutions Group | Other
Segment Reporting Information [Line Items]
Revenues	54.0		109.2
Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenues	194.5	$ 198.1	383.3	$ 387.4
Intelligent Sensing Group | United States
Segment Reporting Information [Line Items]
Revenues	33.4		59.9
Intelligent Sensing Group | United Kingdom
Segment Reporting Information [Line Items]
Revenues	35.5		71.4
Intelligent Sensing Group | Hong Kong
Segment Reporting Information [Line Items]
Revenues	42.4		75.6
Intelligent Sensing Group | Singapore
Segment Reporting Information [Line Items]
Revenues	31.9		75.2
Intelligent Sensing Group | Other
Segment Reporting Information [Line Items]
Revenues	51.3		101.2
OEM
Segment Reporting Information [Line Items]
Revenues	508.8		979.0
OEM | Power Solutions Group
Segment Reporting Information [Line Items]
Revenues	219.8		417.9
OEM | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenues	220.0		427.6
OEM | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenues	69.0		133.5
Distributor
Segment Reporting Information [Line Items]
Revenues	854.8		1,676.4
Distributor | Power Solutions Group
Segment Reporting Information [Line Items]
Revenues	482.0		934.6
Distributor | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenues	257.5		511.6
Distributor | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenues	115.3		230.2
Electronic Manufacturing Service Provider
Segment Reporting Information [Line Items]
Revenues	92.3		178.1
Electronic Manufacturing Service Provider | Power Solutions Group
Segment Reporting Information [Line Items]
Revenues	46.4		88.3
Electronic Manufacturing Service Provider | Analog Solutions Group
Segment Reporting Information [Line Items]
Revenues	35.7		70.2
Electronic Manufacturing Service Provider | Intelligent Sensing Group
Segment Reporting Information [Line Items]
Revenues	$ 10.2		$ 19.6