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Business Combinations (Narrative) (Details)
$ in Millions
12 Months Ended
Jul. 02, 2018
USD ($)
Feb. 02, 2018
USD ($)
Jan. 03, 2020
USD ($)
acquisition
Dec. 28, 2018
USD ($)
acquisition
Dec. 29, 2017
USD ($)
acquisition
Business Acquisition [Line Items]          
Number of Businesses Acquired | acquisition     4 6 10
Payments to Acquire Businesses, Gross     $ 247.0 $ 1,800.0 $ 331.2
Acquisition-related costs     20.5 $ 38.9 7.4
Business Combination Pro Forma Information Revenue Of Acquiree Since Acquisition Date Actual Percentage Of Total Revenue       5.00%  
Goodwill     $ 3,680.6 $ 3,540.0 $ 2,287.1
Maximum [Member]          
Business Acquisition [Line Items]          
Business Combination Pro Forma Information Revenue Of Acquiree Since Acquisition Date Actual Percentage Of Total Revenue     1.00%   2.00%
Waterfall Holdings [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross $ 1,212.1     1,212.1  
Goodwill $ 863.8        
eBuilder [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross   $ 485.5   485.5  
Goodwill   $ 392.3      
Cash and Cash Equivalents [Member] | Viewpoint and e-Builder [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross       $ 211.2