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Revenue Recognition - Disaggregation Of Revenue (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Disaggregation of Revenue [Line Items]    
Revenue $ 1,145.0 $ 871.5
Licensing    
Disaggregation of Revenue [Line Items]    
Revenue 6.1 5.5
Other    
Disaggregation of Revenue [Line Items]    
Revenue 1.2 1.2
NA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 798.6 580.9
EMEA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 248.8 203.1
LATAM | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 58.5 51.1
APAC | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 31.8 29.7
HHI    
Disaggregation of Revenue [Line Items]    
Revenue 408.7 297.7
HHI | Licensing    
Disaggregation of Revenue [Line Items]    
Revenue 0.3 0.3
HHI | Other    
Disaggregation of Revenue [Line Items]    
Revenue 0.0 0.0
HHI | NA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 397.6 281.6
HHI | EMEA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 0.0 0.1
HHI | LATAM | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 10.4 10.5
HHI | APAC | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 0.4 5.2
HPC    
Disaggregation of Revenue [Line Items]    
Revenue 378.5 322.1
HPC | Licensing    
Disaggregation of Revenue [Line Items]    
Revenue 3.7 3.0
HPC | Other    
Disaggregation of Revenue [Line Items]    
Revenue 0.0 0.0
HPC | NA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 142.6 116.5
HPC | EMEA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 167.5 149.1
HPC | LATAM | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 42.4 36.0
HPC | APAC | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 22.3 17.5
GPC    
Disaggregation of Revenue [Line Items]    
Revenue 275.5 205.8
GPC | Licensing    
Disaggregation of Revenue [Line Items]    
Revenue 1.8 1.9
GPC | Other    
Disaggregation of Revenue [Line Items]    
Revenue 1.2 1.2
GPC | NA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 178.1 138.5
GPC | EMEA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 81.3 53.9
GPC | LATAM | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 4.0 3.3
GPC | APAC | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 9.1 7.0
H&G    
Disaggregation of Revenue [Line Items]    
Revenue 82.3 45.9
H&G | Licensing    
Disaggregation of Revenue [Line Items]    
Revenue 0.3 0.3
H&G | Other    
Disaggregation of Revenue [Line Items]    
Revenue 0.0 0.0
H&G | NA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 80.3 44.3
H&G | EMEA | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 0.0 0.0
H&G | LATAM | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue 1.7 1.3
H&G | APAC | Product Sales    
Disaggregation of Revenue [Line Items]    
Revenue $ 0.0 $ 0.0