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Goodwill and Intangible Assets (Changes in the Carrying Amount of Goodwill by Reporting Segment) (Details)
$ in Millions
3 Months Ended
Jan. 03, 2021
USD ($)
Goodwill [Roll Forward]  
Goodwill, beginning balance $ 1,332.0
Foreign currency impact 10.2
Armitage acquisition (Note 3) 90.7
Goodwill, ending balance 1,432.9
HHI  
Goodwill [Roll Forward]  
Goodwill, beginning balance 704.8
Foreign currency impact 5.3
Armitage acquisition (Note 3) 0.0
Goodwill, ending balance 710.1
GPC  
Goodwill [Roll Forward]  
Goodwill, beginning balance 431.6
Foreign currency impact 4.9
Armitage acquisition (Note 3) 90.7
Goodwill, ending balance 527.2
H&G  
Goodwill [Roll Forward]  
Goodwill, beginning balance 195.6
Foreign currency impact 0.0
Armitage acquisition (Note 3) 0.0
Goodwill, ending balance $ 195.6