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Acquisitions (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Jun. 28, 2013
Jun. 29, 2012
Jun. 28, 2013
Jun. 29, 2012
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired     $ 75 $ 217
Acquisition and integration costs 1 4 2 7
Visonic Ltd.
       
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired       94
Cash balance acquired in the acquisition of a business       5
ROW Installation & Services
       
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired 37      
NA Installation & Services and ROW Installation & Services segments
       
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired     75  
Cash balance acquired in the acquisition of a business     3  
Global Products and ROW Installation & Services segments
       
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired       217
Cash balance acquired in the acquisition of a business       16
Global Products
       
Business Acquisition [Line Items]        
Acquisition of businesses, net of cash acquired   12    
Cash balance acquired in the acquisition of a business   $ 1