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Borrowings and Credit Arrangements - Company's Borrowings (Details) - USD ($) $ in Millions	Sep. 28, 2024	Sep. 30, 2023
Debt Instrument [Line Items]
Current debt obligations, net of debt discount	$ 37.5	$ 287.0
Long term debt obligations excluding convertible notes	2,497.1	2,531.2
Total debt obligations	2,534.6	2,818.2
Term Loan
Debt Instrument [Line Items]
Current debt obligations, net of debt discount	37.5	287.0
Long term debt obligations excluding convertible notes	1,158.7	1,195.6
2028 Senior Notes
Debt Instrument [Line Items]
Long term debt obligations excluding convertible notes	397.6	396.8
2029 Senior Notes
Debt Instrument [Line Items]
Long term debt obligations excluding convertible notes	$ 940.8	$ 938.8

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