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

Amount, after allowance for credit loss, of right to consideration from customer for product sold and service rendered in normal course of business, classified as current.

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