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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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