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GOODWILL AND INTANGIBLE ASSETS - Additional Information (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 30, 2017
Sep. 30, 2017
Dec. 31, 2016
Goodwill [Line Items]      
Goodwill $ 8,776.1   $ 6,694.0
Total indefinite-lived trade names 2,206.0   1,509.0
Future amortization expense in 2013 167.1    
Future amortization expense in 2014 158.2    
Future amortization expense in 2015 139.7    
Future amortization expense in 2016 131.0    
Future amortization expense in 2017 122.0    
Future amortization expense thereafter $ 583.5    
Infrastructure business [Member]      
Goodwill [Line Items]      
organic revenue growth 12.00%    
Construction and Do It Yourself      
Goodwill [Line Items]      
Goodwill $ 5,189.7   3,247.8
Security Segment Business [Domain]      
Goodwill [Line Items]      
Goodwill 2,132.0   2,007.0
Industrial Segment      
Goodwill [Line Items]      
Goodwill 1,454.4   $ 1,439.2
Infrastructure business [Member] | Security Segment Business [Domain]      
Goodwill [Line Items]      
Goodwill 271.0    
Goodwill [Member]      
Goodwill [Line Items]      
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Assets $ 2,100.0    
Infrastructure business [Member] | Industrial Segment      
Goodwill [Line Items]      
Reporting Unit, Percentage of Fair Value in Excess of Carrying Amount 37.00% 18.00%