Condensed Consolidated Statements of Cash Flows - USD ($) $ in Millions	6 Months Ended
	Mar. 31, 2024	Apr. 02, 2023
Cash flows from operating activities
Net income (loss)	$ 90.1	$ (74.1)
Income from discontinued operations, net of tax	22.7	40.9
Net income (loss) from continuing operations	67.4	(115.0)
Adjustments to reconcile net income (loss) from continuing operations to net cash provided by operating activities from continuing operations:
Depreciation	28.8	24.1
Amortization	22.2	20.9
Share based compensation	8.4	7.7
Impairment of intangible assets	43.0	67.0
Impairment of property, plant and equipment and operating lease assets	0.5	4.5
Gain from debt repurchase	(4.7)	0.0
Non-cash purchase accounting adjustments	0.9	0.9
Non-cash accrual for representation and warranty proceeds	(15.0)	0.0
Amortization of debt issuance costs and debt discount	1.7	4.0
Write-off of unamortized discount and debt issuance costs	0.3	0.0
Gain from remeasurement of contingent consideration liability	0.0	(1.5)
Deferred tax benefit	10.9	(62.0)
Net changes in operating assets and liabilities	(83.7)	198.0
Net cash provided by operating activities from continuing operations	80.7	148.6
Net cash (used) provided by operating activities from discontinued operations	(81.5)	29.0
Net cash (used) provided by operating activities	(0.8)	177.6
Cash flows from investing activities
Purchases of property, plant and equipment	(20.9)	(25.9)
Purchases of short term investments	(700.0)	0.0
Proceeds from sale of short term investments	1,292.0	0.0
Purchase price settlement from sale of HHI	(26.9)	0.0
Other investing activity	(0.1)	0.0
Net cash provided (used) by investing activities from continuing operations	544.1	(25.9)
Net cash used by investing activities from discontinued operations	0.0	(7.9)
Net cash provided (used) by investing activities	544.1	(33.8)
Cash flows from financing activities
Payment of debt	(177.9)	(21.7)
Payment of debt issuance costs	(3.2)	(2.3)
Treasury stock purchases	(340.5)	0.0
Dividends paid to shareholders	(26.8)	(34.4)
Share based award tax withholding payments, net of proceeds upon vesting	(5.4)	(10.5)
Net cash used by financing activities from continuing operations	(553.8)	(68.9)
Net cash used by financing activities from discontinued operations	0.0	(0.7)
Net cash used by financing activities	(553.8)	(69.6)
Effect of exchange rate changes on cash and cash equivalents	2.3	9.7
Net change in cash, cash equivalents and restricted cash in continuing operations	(8.2)	83.9
Cash, cash equivalents, and restricted cash, beginning of period	753.9	243.9
Cash, cash equivalents, and restricted cash, end of period	745.7	327.8
Non cash investing activities
Acquisition of property, plant and equipment through finance leases	1.8	2.4
Non cash financing activities
Issuance of shares through stock compensation plan	14.0	27.2
Continuing Operations
Supplemental disclosure of cash flow information
Cash paid for interest associated with continued operations	35.9	56.8
Cash paid for taxes associated with continued operations	17.8	11.7
Discontinued Operations
Supplemental disclosure of cash flow information
Cash paid for interest associated with continued operations	0.0	29.9
Cash paid for taxes associated with continued operations	$ 59.1	$ 13.5