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REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jul. 03, 2022
Jul. 04, 2021
Jul. 03, 2022
Jul. 04, 2021
Disaggregation of Revenue [Line Items]        
Net sales $ 818.0 $ 743.8 $ 2,383.0 $ 2,240.3
Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 5.5 6.2 16.3 17.3
Other        
Disaggregation of Revenue [Line Items]        
Net sales 1.9 1.4 5.6 4.3
NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 557.2 468.4 1,458.0 1,334.1
EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 174.1 193.1 632.3 659.3
LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 53.7 49.2 187.2 143.8
APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 25.6 25.5 83.6 81.5
HPC        
Disaggregation of Revenue [Line Items]        
Net sales 329.3 274.4 1,025.2 950.8
HPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 2.6 2.3 7.4 8.7
HPC | Other        
Disaggregation of Revenue [Line Items]        
Net sales 0.5 0.0 0.9 0.0
HPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 170.2 111.3 434.3 369.3
HPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 93.0 101.9 361.5 392.7
HPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 47.2 43.9 167.4 126.9
HPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 15.8 15.0 53.7 53.2
GPC        
Disaggregation of Revenue [Line Items]        
Net sales 290.2 257.3 887.5 826.3
GPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 1.9 2.9 7.0 6.8
GPC | Other        
Disaggregation of Revenue [Line Items]        
Net sales 1.4 1.4 4.7 4.3
GPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 191.4 147.8 561.3 508.4
GPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 81.1 91.2 270.8 266.6
GPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 4.6 3.5 13.8 11.9
GPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 9.8 10.5 29.9 28.3
H&G        
Disaggregation of Revenue [Line Items]        
Net sales 198.5 212.1 470.3 463.2
H&G | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 1.0 1.0 1.9 1.8
H&G | Other        
Disaggregation of Revenue [Line Items]        
Net sales 0.0 0.0 0.0 0.0
H&G | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 195.6 209.3 462.4 456.4
H&G | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 0.0 0.0 0.0 0.0
H&G | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 1.9 1.8 6.0 5.0
H&G | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales $ 0.0 $ 0.0 $ 0.0 $ 0.0