Revenue and Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 03, 2020	Mar. 29, 2019
Segment Reporting Information [Line Items]
Revenue	$ 1,277.9	$ 1,386.6
Distributors
Segment Reporting Information [Line Items]
Revenue	703.3	764.8
OEM/ODM
Segment Reporting Information [Line Items]
Revenue	487.1	528.8
Electronic Manufacturing Service Providers
Segment Reporting Information [Line Items]
Revenue	87.5	93.0
Singapore
Segment Reporting Information [Line Items]
Revenue	408.3	425.2
Hong Kong
Segment Reporting Information [Line Items]
Revenue	316.2	338.0
United Kingdom
Segment Reporting Information [Line Items]
Revenue	227.0	246.9
United States
Segment Reporting Information [Line Items]
Revenue	184.5	213.6
Other
Segment Reporting Information [Line Items]
Revenue	141.9	162.9
PSG
Segment Reporting Information [Line Items]
Revenue	623.9	704.2
PSG | Distributors
Segment Reporting Information [Line Items]
Revenue	386.3	423.7
PSG | OEM/ODM
Segment Reporting Information [Line Items]
Revenue	194.2	236.2
PSG | Electronic Manufacturing Service Providers
Segment Reporting Information [Line Items]
Revenue	43.4	44.3
PSG | Singapore
Segment Reporting Information [Line Items]
Revenue	194.3	225.0
PSG | Hong Kong
Segment Reporting Information [Line Items]
Revenue	192.0	200.6
PSG | United Kingdom
Segment Reporting Information [Line Items]
Revenue	105.1	125.8
PSG | United States
Segment Reporting Information [Line Items]
Revenue	72.7	88.9
PSG | Other
Segment Reporting Information [Line Items]
Revenue	59.8	63.9
ASG
Segment Reporting Information [Line Items]
Revenue	467.1	494.1
ASG | Distributors
Segment Reporting Information [Line Items]
Revenue	213.6	234.8
ASG | OEM/ODM
Segment Reporting Information [Line Items]
Revenue	219.4	221.1
ASG | Electronic Manufacturing Service Providers
Segment Reporting Information [Line Items]
Revenue	34.1	38.2
ASG | Singapore
Segment Reporting Information [Line Items]
Revenue	172.6	153.0
ASG | Hong Kong
Segment Reporting Information [Line Items]
Revenue	91.9	112.0
ASG | United Kingdom
Segment Reporting Information [Line Items]
Revenue	76.8	79.5
ASG | United States
Segment Reporting Information [Line Items]
Revenue	77.3	92.6
ASG | Other
Segment Reporting Information [Line Items]
Revenue	48.5	57.0
ISG
Segment Reporting Information [Line Items]
Revenue	186.9	188.3
ISG | Distributors
Segment Reporting Information [Line Items]
Revenue	103.4	106.3
ISG | OEM/ODM
Segment Reporting Information [Line Items]
Revenue	73.5	71.5
ISG | Electronic Manufacturing Service Providers
Segment Reporting Information [Line Items]
Revenue	10.0	10.5
ISG | Singapore
Segment Reporting Information [Line Items]
Revenue	41.4	47.2
ISG | Hong Kong
Segment Reporting Information [Line Items]
Revenue	32.3	25.4
ISG | United Kingdom
Segment Reporting Information [Line Items]
Revenue	45.1	41.6
ISG | United States
Segment Reporting Information [Line Items]
Revenue	34.5	32.1
ISG | Other
Segment Reporting Information [Line Items]
Revenue	$ 33.6	$ 42.0