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REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Apr. 02, 2023
Apr. 03, 2022
Apr. 02, 2023
Apr. 03, 2022
Disaggregation of Revenue [Line Items]        
Net sales $ 729.2 $ 807.8 $ 1,442.5 $ 1,565.0
Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 5.0 5.2 10.2 10.7
Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 1.7 2.1 3.8 3.8
NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 459.3 513.2 867.1 900.8
EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 193.6 204.4 417.5 458.2
LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 44.8 57.7 91.8 133.4
APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 24.8 25.2 52.1 58.1
HPC        
Disaggregation of Revenue [Line Items]        
Net sales 279.2 316.1 643.6 695.8
HPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 1.9 2.1 4.3 4.7
HPC | Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 0.3 0.4 0.9 0.4
HPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 121.6 136.8 286.1 264.2
HPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 99.2 109.1 236.5 268.5
HPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 38.8 51.5 80.6 120.1
HPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 17.4 16.2 35.2 37.9
GPC        
Disaggregation of Revenue [Line Items]        
Net sales 296.7 295.1 574.3 597.3
GPC | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 2.6 2.4 5.0 5.1
GPC | Service and other        
Disaggregation of Revenue [Line Items]        
Net sales 1.4 1.7 2.9 3.4
GPC | NA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 186.4 182.2 360.8 369.7
GPC | EMEA | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 94.4 95.3 181.0 189.7
GPC | LATAM | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 4.5 4.5 7.7 9.2
GPC | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales 7.4 9.0 16.9 20.2
H&G        
Disaggregation of Revenue [Line Items]        
Net sales 153.3 196.6 224.6 271.9
H&G | Licensing        
Disaggregation of Revenue [Line Items]        
Net sales 0.5 0.7 0.9 0.9
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 151.3 194.2 220.2 266.9
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 1.7 3.5 4.1
H&G | APAC | Product Sales        
Disaggregation of Revenue [Line Items]        
Net sales $ 0.0 $ 0.0 $ 0.0 $ 0.0