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Acquisitions (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Mar. 29, 2013
Mar. 30, 2012
Mar. 29, 2013
Mar. 30, 2012
Business Acquisition Disclosures        
Acquisition of businesses, net of cash acquired $ 15 $ 110 $ 38 $ 205
Cash balance acquired in the acquisition of a business 3 10 3 15
Acquisition and integration costs    1 1 3
ROW Installation & Services
       
Business Acquisition Disclosures        
Acquisition of businesses, net of cash acquired 15      
Cash balance acquired in the acquisition of a business 3      
NA Installation & Services and ROW Installation & Services segments
       
Business Acquisition Disclosures        
Acquisition of businesses, net of cash acquired     38  
Cash balance acquired in the acquisition of a business     3  
Global Products and ROW Installation & Services segments
       
Business Acquisition Disclosures        
Acquisition of businesses, net of cash acquired   110   205
Cash balance acquired in the acquisition of a business   10   15
Visonic Ltd.
       
Business Acquisition Disclosures        
Acquisition of businesses, net of cash acquired       94
Cash balance acquired in the acquisition of a business       $ 5