Reporting Segment And Geographic Information (Segment Revenue by Geography) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2022	Dec. 31, 2021	Jan. 01, 2021
Revenue from External Customer [Line Items]
Segment revenue	$ 3,676.3	$ 3,659.4	$ 3,152.0
Buildings and Infrastructure
Revenue from External Customer [Line Items]
Segment revenue	1,494.0	1,422.7	1,231.0
Geospatial
Revenue from External Customer [Line Items]
Segment revenue	756.5	828.9	650.5
Resources and Utilities
Revenue from External Customer [Line Items]
Segment revenue	821.6	771.3	630.0
Transportation
Revenue from External Customer [Line Items]
Segment revenue	604.2	636.5	640.5
North America
Revenue from External Customer [Line Items]
Segment revenue	1,955.2	1,866.1	1,647.2
North America | Buildings and Infrastructure
Revenue from External Customer [Line Items]
Segment revenue	938.1	823.5	703.4
North America | Geospatial
Revenue from External Customer [Line Items]
Segment revenue	320.7	337.3	249.9
North America | Resources and Utilities
Revenue from External Customer [Line Items]
Segment revenue	227.0	212.2	191.4
North America | Transportation
Revenue from External Customer [Line Items]
Segment revenue	469.4	493.1	502.5
Europe
Revenue from External Customer [Line Items]
Segment revenue	1,037.9	1,124.6	922.1
Europe | Buildings and Infrastructure
Revenue from External Customer [Line Items]
Segment revenue	337.1	386.6	337.1
Europe | Geospatial
Revenue from External Customer [Line Items]
Segment revenue	247.8	282.3	222.3
Europe | Resources and Utilities
Revenue from External Customer [Line Items]
Segment revenue	374.3	368.4	284.3
Europe | Transportation
Revenue from External Customer [Line Items]
Segment revenue	78.7	87.3	78.4
Asia Pacific
Revenue from External Customer [Line Items]
Segment revenue	415.1	447.3	403.3
Asia Pacific | Buildings and Infrastructure
Revenue from External Customer [Line Items]
Segment revenue	192.8	188.4	165.7
Asia Pacific | Geospatial
Revenue from External Customer [Line Items]
Segment revenue	140.3	161.4	138.2
Asia Pacific | Resources and Utilities
Revenue from External Customer [Line Items]
Segment revenue	51.7	67.3	64.5
Asia Pacific | Transportation
Revenue from External Customer [Line Items]
Segment revenue	30.3	30.2	34.9
Rest of World
Revenue from External Customer [Line Items]
Segment revenue	268.1	221.4	179.4
Rest of World | Buildings and Infrastructure
Revenue from External Customer [Line Items]
Segment revenue	26.0	24.2	24.8
Rest of World | Geospatial
Revenue from External Customer [Line Items]
Segment revenue	47.7	47.9	40.1
Rest of World | Resources and Utilities
Revenue from External Customer [Line Items]
Segment revenue	168.6	123.4	89.8
Rest of World | Transportation
Revenue from External Customer [Line Items]
Segment revenue	$ 25.8	$ 25.9	$ 24.7