ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 01, 2023	Jan. 02, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	$ 1,269.1	$ 1,479.0
Other comprehensive income (loss) before reclassification	(1.1)	8.6
Other comprehensive income (loss) before tax	(2.7)	7.0
Deferred tax effect	17.2	(2.9)
Other comprehensive income (loss), net of tax	14.5	4.1
Other comprehensive income (loss) attributable to controlling interest	14.2	4.0
Balances at end of period	1,239.4	1,347.9
Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	(1.6)	(1.1)
Less: other comprehensive income from operations attributable to non-controlling interest	0.2	0.1
Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income		(0.5)
Less: other comprehensive income from operations attributable to non-controlling interest	0.1
Total
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(303.1)	(235.3)
Balances at end of period	(288.9)	(231.3)
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(285.9)	(194.8)
Other comprehensive income (loss) before reclassification	26.6	6.8
Other comprehensive income (loss) before tax	26.6	6.8
Deferred tax effect	8.8	(4.5)
Other comprehensive income (loss), net of tax	35.4	2.3
Other comprehensive income (loss) attributable to controlling interest	35.1	2.2
Balances at end of period	(250.8)	(192.6)
Foreign Currency Translation | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	0.0	0.0
Less: other comprehensive income from operations attributable to non-controlling interest	0.2	0.1
Foreign Currency Translation | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income		0.0
Less: other comprehensive income from operations attributable to non-controlling interest	0.1
Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	16.8	6.4
Other comprehensive income (loss) before reclassification	(25.4)	1.2
Other comprehensive income (loss) before tax	(27.9)	(1.4)
Deferred tax effect	7.2	4.5
Other comprehensive income (loss), net of tax	(20.7)	3.1
Other comprehensive income (loss) attributable to controlling interest	(20.7)	3.1
Balances at end of period	(3.9)	9.5
Derivative Instruments | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	(2.5)	(2.1)
Less: other comprehensive income from operations attributable to non-controlling interest	0.0	0.0
Derivative Instruments | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income		(0.5)
Less: other comprehensive income from operations attributable to non-controlling interest	0.0
Defined Benefit Pension
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balances at beginning of period	(34.0)	(46.9)
Other comprehensive income (loss) before reclassification	(2.3)	0.6
Other comprehensive income (loss) before tax	(1.4)	1.6
Deferred tax effect	1.2	(2.9)
Other comprehensive income (loss), net of tax	(0.2)	(1.3)
Other comprehensive income (loss) attributable to controlling interest	(0.2)	(1.3)
Balances at end of period	(34.2)	(48.2)
Defined Benefit Pension | Continuing Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income	0.9	1.0
Less: other comprehensive income from operations attributable to non-controlling interest	0.0	0.0
Defined Benefit Pension | Discontinued Operations
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Net reclassification for (gain) loss to income		$ 0.0
Less: other comprehensive income from operations attributable to non-controlling interest	$ 0.0