ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended				6 Months Ended
	Mar. 31, 2024	Dec. 31, 2023	Apr. 02, 2023	Jan. 01, 2023	Mar. 31, 2024	Apr. 02, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	$ 2,301.7	$ 2,518.3	$ 1,239.4	$ 1,269.1	$ 2,518.3	$ 1,269.1
Other comprehensive income (loss) before reclassification	1.3	3.7	7.6	(1.1)
Other comprehensive income (loss) before tax	6.3	9.0	11.7	(2.7)
Deferred tax effect	(4.4)	7.3	4.5	17.2
Net change to derive comprehensive income for the period	1.9	16.3	16.2	14.5	18.2	30.7
Balances at end of period	2,257.5	2,301.7	1,189.1	1,239.4	2,257.5	1,189.1
Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	5.0	5.3	4.2	(1.6)
Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income			(0.1)
Total
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(233.2)	(249.4)	(288.9)	(303.1)	(249.4)	(303.1)
Net change to derive comprehensive income for the period	2.0	16.2	16.0	14.2
Other comprehensive income (loss) attributable to controlling interest	2.0	16.2	16.0	14.2
Balances at end of period	(231.2)	(233.2)	(272.9)	(288.9)	(231.2)	(272.9)
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(195.2)	(216.1)	(250.8)	(285.9)	(216.1)	(285.9)
Other comprehensive income (loss) attributable to controlling interest	(3.2)	20.9	18.1	35.1
Balances at end of period	(198.4)	(195.2)	(232.7)	(250.8)	(198.4)	(232.7)
Accumulated Foreign Currency Adjustment Including Portion Attributable to Noncontrolling Interest
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Other comprehensive income (loss) before reclassification	(0.4)	15.4	14.6	26.6
Other comprehensive income (loss) before tax	(0.4)	15.4	14.6	26.6
Deferred tax effect	(2.9)	5.6	3.7	8.8
Net change to derive comprehensive income for the period	(3.3)	21.0	18.3	35.4
Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(2.6)	1.4	(3.9)	16.8	1.4	16.8
Other comprehensive income (loss) attributable to controlling interest	4.6	(4.0)	(1.6)	(20.7)
Balances at end of period	2.0	(2.6)	(5.5)	(3.9)	2.0	(5.5)
Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Other comprehensive income (loss) before reclassification	1.4	(10.6)	(7.1)	(25.4)
Other comprehensive income (loss) before tax	6.2	(5.5)	(2.3)	(27.9)
Deferred tax effect	(1.6)	1.5	0.7	7.2
Net change to derive comprehensive income for the period	4.6	(4.0)	(1.6)	(20.7)
Derivative Instruments | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	4.8	5.1	4.9	(2.5)
Derivative Instruments | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income			(0.1)
Defined Benefit Pension
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(35.4)	(34.7)	(34.2)	(34.0)	(34.7)	(34.0)
Other comprehensive income (loss) attributable to controlling interest	0.6	(0.7)	(0.5)	(0.2)
Balances at end of period	(34.8)	(35.4)	(34.7)	(34.2)	$ (34.8)	$ (34.7)
Defined Benefit Pension
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Other comprehensive income (loss) before reclassification	0.3	(1.1)	0.1	(2.3)
Other comprehensive income (loss) before tax	0.5	(0.9)	(0.6)	(1.4)
Deferred tax effect	0.1	0.2	0.1	1.2
Net change to derive comprehensive income for the period	0.6	(0.7)	(0.5)	(0.2)
Defined Benefit Pension | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	0.2	0.2	(0.7)	0.9
AOCI Attributable to Noncontrolling Interest | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Less: other comprehensive income (loss) from operations attributable to non-controlling interest	(0.1)	0.1	0.1	0.2
AOCI Attributable to Noncontrolling Interest | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Less: other comprehensive income (loss) from operations attributable to non-controlling interest			0.1	0.1
Foreign Currency Translation, Noncontrolling Interest | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Less: other comprehensive income (loss) from operations attributable to non-controlling interest	$ (0.1)	$ 0.1	0.1	0.2
Foreign Currency Translation, Noncontrolling Interest | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Less: other comprehensive income (loss) from operations attributable to non-controlling interest			$ 0.1	$ 0.1