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Segment Information (Segment Select Balance Sheet) (Details) - USD ($)
$ in Millions
Oct. 02, 2020
Jan. 03, 2020
Segment Reporting Information [Line Items]    
Accounts receivable, net $ 488.9 $ 608.2
Inventories 318.5 312.1
Goodwill 3,837.4 3,680.6
Buildings and Infrastructure    
Segment Reporting Information [Line Items]    
Accounts receivable, net 169.9 232.0
Inventories 59.6 67.1
Goodwill 1,982.1 1,973.0
Geospatial    
Segment Reporting Information [Line Items]    
Accounts receivable, net 106.7 115.5
Inventories 125.0 125.0
Goodwill 405.5 401.5
Resources and Utilities    
Segment Reporting Information [Line Items]    
Accounts receivable, net 75.2 93.3
Inventories 46.4 45.5
Goodwill 445.4 445.4
Transportation    
Segment Reporting Information [Line Items]    
Accounts receivable, net 137.1 167.4
Inventories 87.5 74.5
Goodwill $ 1,004.4 $ 860.7