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Reporting Segment And Geographic Information (Segment Select Balance Sheet) (Details) - USD ($) $ in Millions | Jan. 03, 2020 | Dec. 28, 2018 | Dec. 29, 2017
--- | --- | --- | ---
Segment Reporting Information [Line Items] |  |  |
Accounts receivable, net | $ 608.2 | $ 512.6 | $ 427.7
Inventories | 312.1 | 298.0 | 264.6
Goodwill | 3,680.6 | 3,540.0 | 2,287.1
Building and Infrastructure [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Accounts receivable, net | 232.0 | 177.5 | 120.1
Inventories | 67.1 | 70.3 | 62.1
Goodwill | 1,973.0 | 1,970.2 | 706.8
Geospatial [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Accounts receivable, net | 115.5 | 118.7 | 121.5
Inventories | 125.0 | 133.5 | 110.3
Goodwill | 401.5 | 403.1 | 415.3
Resources and Utilities [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Accounts receivable, net | 93.3 | 83.8 | 78.5
Inventories | 45.5 | 46.2 | 46.0
Goodwill | 445.4 | 305.7 | 314.5
Transportation [Member] |  |  |
Segment Reporting Information [Line Items] |  |  |
Accounts receivable, net | 167.4 | 132.6 | 107.6
Inventories | 74.5 | 48.0 | 46.2
Goodwill | $ 860.7 | $ 861.0 | $ 850.5

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