Reporting Segment And Geographic Information (Segment Select Balance Sheet) (Details) - USD ($) $ in Millions	Jan. 01, 2021	Jan. 03, 2020	Dec. 28, 2018
Segment Reporting Information [Line Items]
Accounts receivable, net	$ 620.5	$ 608.2	$ 512.6
Inventories	301.7	312.1	298.0
Goodwill	3,876.5	3,680.6	3,540.0
Buildings and Infrastructure
Segment Reporting Information [Line Items]
Accounts receivable, net	260.1	232.0	177.5
Inventories	59.1	67.1	70.3
Goodwill	1,997.4	1,973.0	1,970.2
Geospatial
Segment Reporting Information [Line Items]
Accounts receivable, net	117.5	115.5	118.7
Inventories	120.1	125.0	133.5
Goodwill	415.7	401.5	403.1
Resources and Utilities
Segment Reporting Information [Line Items]
Accounts receivable, net	91.2	93.3	83.8
Inventories	49.0	45.5	46.2
Goodwill	453.8	445.4	305.7
Transportation
Segment Reporting Information [Line Items]
Accounts receivable, net	151.7	167.4	132.6
Inventories	73.5	74.5	48.0
Goodwill	$ 1,009.6	$ 860.7	$ 861.0

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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