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Business Combinations (Narrative) (Details)
$ in Millions
12 Months Ended
Jul. 02, 2018
USD ($)
Feb. 02, 2018
USD ($)
Dec. 28, 2018
USD ($)
segment
acquisition
Dec. 29, 2017
USD ($)
acquisition
Dec. 30, 2016
USD ($)
acquisition
Business Acquisition [Line Items]          
Number of Businesses Acquired | acquisition     6 10 4
Payments to Acquire Businesses, Gross     $ 1,782.9 $ 331.2 $ 27.6
Business Combination Pro Forma Information Revenue Of Acquiree Since Acquisition Date Actual Percentage Of Total Revenue     5.00% 2.00% 1.00%
Business Combination Valuation Remeasurement Window     1 year    
Acquisition-related costs     $ 38.9 $ 7.4 $ 6.8
Number of Reportable Segments | segment     4    
Goodwill     $ 3,540.0 2,287.1 [1] 2,077.6
Minimum [Member]          
Business Acquisition [Line Items]          
Business Combination, Consideration Transferred     1.8 2.0 0.3
Maximum [Member]          
Business Acquisition [Line Items]          
Business Combination, Consideration Transferred     1,211.3 $ 134.0 $ 14.0
Waterfall Holdings [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross $ 1,211.3   1,211.3    
Goodwill $ 863.3        
Business Acquisition, Goodwill, Expected Tax Deductible Amount     95.8    
eBuilder [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross   $ 485.2 485.2    
Acquisition-related costs     18.6    
Goodwill   $ 392.2      
Viewpoint and e-Builder [Member]          
Business Acquisition [Line Items]          
Business Combination, Pro Forma Information, Revenue of Acquiree since Acquisition Date, Actual     125.2    
Business Combination, Pro Forma Information, Earnings or Loss of Acquiree since Acquisition Date, Actual     17.3    
Cash and Cash Equivalents [Member] | Viewpoint and e-Builder [Member]          
Business Acquisition [Line Items]          
Payments to Acquire Businesses, Gross     211.2    
General and Administrative Expense [Member] | Waterfall Holdings [Member]          
Business Acquisition [Line Items]          
Acquisition-related costs     $ 19.0    
[1] See Note 2 for a summary of adjustments