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REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jul. 02, 2023
Jul. 03, 2022
Jul. 02, 2023
Jul. 03, 2022
Disaggregation of Revenue [Line Items]        
Net sales $ 735.5 $ 818.0 $ 2,178.1 $ 2,383.0
Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 5.8 5.5 16.1 16.3
Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 1.6 1.9 4.0 5.6
NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 457.4 557.2 1,326.0 1,458.0
EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 192.2 174.1 609.7 632.3
LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 53.6 53.7 145.4 187.2
APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 24.9 25.6 76.9 83.6
GPC        
Disaggregation of Revenue [Line Items]        
Net sales 272.3 290.2 846.5 887.5
GPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 2.8 1.9 7.8 7.0
GPC | Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 1.4 1.4 2.9 4.7
GPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 167.9 191.4 530.1 561.3
GPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 88.0 81.1 269.0 270.8
GPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 4.7 4.6 12.4 13.8
GPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 7.5 9.8 24.3 29.9
H&G        
Disaggregation of Revenue [Line Items]        
Net sales 186.6 198.5 411.3 470.3
H&G | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 1.0 1.0 2.0 1.9
H&G | Service and 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 184.1 195.6 404.3 462.4
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 1.5 1.9 5.0 6.0
H&G | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 0.0 0.0 0.0 0.0
HPC        
Disaggregation of Revenue [Line Items]        
Net sales 276.6 329.3 920.3 1,025.2
HPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 2.0 2.6 6.3 7.4
HPC | Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 0.2 0.5 1.1 0.9
HPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 105.4 170.2 391.6 434.3
HPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 104.2 93.0 340.7 361.5
HPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 47.4 47.2 128.0 167.4
HPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales $ 17.4 $ 15.8 $ 52.6 $ 53.7