REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 01, 2023	Jan. 02, 2022
Disaggregation of Revenue [Line Items]
Net sales	$ 713.3	$ 757.2
Licensing
Disaggregation of Revenue [Line Items]
Net sales	5.4	5.6
Service and other
Disaggregation of Revenue [Line Items]
Net sales	2.0	1.8
NA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	407.8	387.4
EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	223.9	253.8
LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	46.9	75.7
APAC | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	27.3	32.9
HPC
Disaggregation of Revenue [Line Items]
Net sales	364.4	379.7
HPC | Licensing
Disaggregation of Revenue [Line Items]
Net sales	2.5	2.6
HPC | Service and other
Disaggregation of Revenue [Line Items]
Net sales	0.5	0.0
HPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	164.5	127.4
HPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	137.3	159.4
HPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	41.8	68.6
HPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	17.8	21.7
GPC
Disaggregation of Revenue [Line Items]
Net sales	277.5	302.2
GPC | Licensing
Disaggregation of Revenue [Line Items]
Net sales	2.4	2.7
GPC | Service and other
Disaggregation of Revenue [Line Items]
Net sales	1.5	1.8
GPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	174.3	187.4
GPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	86.6	94.4
GPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	3.2	4.7
GPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	9.5	11.2
H&G
Disaggregation of Revenue [Line Items]
Net sales	71.4	75.3
H&G | Licensing
Disaggregation of Revenue [Line Items]
Net sales	0.5	0.3
H&G | Service and other
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
H&G | NA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	69.0	72.6
H&G | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	0.0	0.0
H&G | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	1.9	2.4
H&G | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Net sales	$ 0.0	$ 0.0