Reporting Segment And Geographic Information (Segment Select Balance Sheet) (Details) - USD ($) $ in Millions	Dec. 30, 2022	Dec. 31, 2021	Jan. 01, 2021
Segment Reporting Information [Line Items]
Accounts receivable, net	$ 643.3	$ 624.8	$ 620.5
Inventories	402.5	363.3	301.7
Goodwill	4,137.9	3,981.5	3,876.5
Buildings and Infrastructure
Segment Reporting Information [Line Items]
Accounts receivable, net	305.1	246.8	260.1
Inventories	93.2	79.3	59.1
Goodwill	2,300.1	2,141.4	1,997.4
Geospatial
Segment Reporting Information [Line Items]
Accounts receivable, net	137.2	134.0	117.5
Inventories	146.1	136.4	120.1
Goodwill	382.1	403.6	415.7
Resources and Utilities
Segment Reporting Information [Line Items]
Accounts receivable, net	79.2	112.9	91.2
Inventories	100.3	67.4	49.0
Goodwill	471.8	440.8	453.8
Transportation
Segment Reporting Information [Line Items]
Accounts receivable, net	121.8	131.1	151.7
Inventories	62.9	80.2	73.5
Goodwill	$ 983.9	$ 995.7	$ 1,009.6