REVENUE RECOGNITION - Disaggregation of Revenue (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 02, 2022	Jan. 03, 2021
Disaggregation of Revenue [Line Items]
Revenue	$ 757.2	$ 736.2
Licensing
Disaggregation of Revenue [Line Items]
Revenue	5.6	5.8
Other
Disaggregation of Revenue [Line Items]
Revenue	1.8	1.1
NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	387.4	401.0
EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	253.8	248.8
LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	75.7	48.1
APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	32.9	31.4
HPC
Disaggregation of Revenue [Line Items]
Revenue	379.7	378.5
HPC | Licensing
Disaggregation of Revenue [Line Items]
Revenue	2.6	3.7
HPC | Other
Disaggregation of Revenue [Line Items]
Revenue	0.0	0.0
HPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	127.4	142.6
HPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	159.4	167.5
HPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	68.6	42.4
HPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	21.7	22.3
GPC
Disaggregation of Revenue [Line Items]
Revenue	302.2	275.4
GPC | Licensing
Disaggregation of Revenue [Line Items]
Revenue	2.7	1.8
GPC | Other
Disaggregation of Revenue [Line Items]
Revenue	1.8	1.1
GPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	187.4	178.1
GPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	94.4	81.3
GPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	4.7	4.0
GPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	11.2	9.1
H&G
Disaggregation of Revenue [Line Items]
Revenue	75.3	82.3
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	72.6	80.3
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	2.4	1.7
H&G | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	$ 0.0	$ 0.0