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Subsequent Events (Details)
€ in Millions, $ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Nov. 21, 2017
USD ($)
Sep. 30, 2017
USD ($)
Jul. 01, 2017
USD ($)
Apr. 01, 2017
USD ($)
Dec. 31, 2016
USD ($)
Oct. 01, 2016
USD ($)
Jul. 02, 2016
USD ($)
Apr. 02, 2016
USD ($)
Jan. 02, 2016
USD ($)
Sep. 30, 2017
USD ($)
Oct. 01, 2016
USD ($)
Sep. 26, 2015
USD ($)
Nov. 21, 2017
EUR (€)
Subsequent Events [Abstract]                          
Sales   $ 1,881 $ 1,906 $ 1,806 $ 1,502 $ 1,618 $ 1,645 $ 1,614 $ 1,612 $ 7,095 $ 6,489 $ 4,881  
Clopay [Member]                          
Subsequent Events [Abstract]                          
Sales                   $ 461      
Subsequent Event [Member] | Cross-Currency Swap [Member]                          
Subsequent Events [Abstract]                          
Notional amount of derivative | €                         € 250
Subsequent Event [Member] | Clopay [Member]                          
Subsequent Events [Abstract]                          
Preliminary purchase price subject to adjustment $ 475