Reporting Segment And Geographic Information (Segment Select Balance Sheet) (Details) - USD ($) $ in Millions	Dec. 31, 2021	Jan. 01, 2021	Jan. 03, 2020
Segment Reporting Information [Line Items]
Accounts receivable, net	$ 624.8	$ 620.5	$ 608.2
Inventories	363.3	301.7	312.1
Goodwill	3,981.5	3,876.5	3,680.6
Buildings and Infrastructure
Segment Reporting Information [Line Items]
Accounts receivable, net	246.8	260.1	232.0
Inventories	79.3	59.1	67.1
Goodwill	2,141.4	1,997.4	1,973.0
Geospatial
Segment Reporting Information [Line Items]
Accounts receivable, net	134.0	117.5	115.5
Inventories	136.4	120.1	125.0
Goodwill	403.6	415.7	401.5
Resources and Utilities
Segment Reporting Information [Line Items]
Accounts receivable, net	112.9	91.2	93.3
Inventories	67.4	49.0	45.5
Goodwill	440.8	453.8	445.4
Transportation
Segment Reporting Information [Line Items]
Accounts receivable, net	131.1	151.7	167.4
Inventories	80.2	73.5	74.5
Goodwill	$ 995.7	$ 1,009.6	$ 860.7