Segment Information (Segment Select Balance Sheet) (Details) - USD ($) $ in Millions	Oct. 01, 2021	Jan. 01, 2021
Segment Reporting Information [Line Items]
Accounts receivable, net	$ 580.5	$ 620.5
Inventories	323.4	301.7
Goodwill	3,823.6	3,876.5
Buildings and Infrastructure
Segment Reporting Information [Line Items]
Accounts receivable, net	194.8	260.1
Inventories	66.0	59.1
Goodwill	1,974.5	1,997.4
Geospatial
Segment Reporting Information [Line Items]
Accounts receivable, net	136.8	117.5
Inventories	132.2	120.1
Goodwill	407.8	415.7
Resources and Utilities
Segment Reporting Information [Line Items]
Accounts receivable, net	103.1	91.2
Inventories	59.8	49.0
Goodwill	443.9	453.8
Transportation
Segment Reporting Information [Line Items]
Accounts receivable, net	145.8	151.7
Inventories	65.4	73.5
Goodwill	$ 997.4	$ 1,009.6