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ACCUMULATED OTHER COMPREHENSIVE INCOME - Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended						9 Months Ended
	Jul. 03, 2022	Apr. 03, 2022	Jan. 02, 2022	Jul. 04, 2021	Apr. 04, 2021	Jan. 03, 2021	Jul. 03, 2022	Jul. 04, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	$ 818.0			$ 743.8			$ 2,383.0	$ 2,240.3
Other non-operating expense (income), net	(7.7)			(1.4)			(7.4)	9.8
Income from discontinued operations, net of tax	29.9	$ 41.1	$ 38.8	32.6	$ 40.3	$ 57.2	109.8	130.1
Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.1			0.1			0.1	0.1
Cost of goods sold	4.8			(2.7)			8.4	(8.4)
Other non-operating expense (income), net	(1.1)			(1.1)			(3.1)	(3.3)
Income from discontinued operations, net of tax	1.0			(0.1)			2.2	(0.1)
Defined Benefit Pension | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.0			0.0			0.0	0.0
Cost of goods sold	0.0			0.0			0.0	0.0
Other non-operating expense (income), net	(1.1)			(1.1)			(3.1)	(3.3)
Income from discontinued operations, net of tax	0.1			0.1			0.1	0.1
Derivative Instruments | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.1			0.1			0.1	0.1
Cost of goods sold	4.8			(2.7)			8.4	(8.4)
Other non-operating expense (income), net	0.0			0.0			0.0	0.0
Income from discontinued operations, net of tax	$ 0.9			$ (0.2)			$ 2.1	$ (0.2)

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