Summary of Significant Accounting Policies - Supplemental Cash Flow Statement Information (Details) - USD ($) $ in Millions	12 Months Ended
Sep. 28, 2024	Sep. 30, 2023	Sep. 24, 2022
Accounting Policies [Abstract]
Cash paid during the period for income taxes	$ 137.9	$ 296.1	$ 36.2
Cash paid during the period for interest	117.1	105.4	99.7
Contingent consideration recorded at acquisition	0.0	1.1	0.0
Proceeds from income tax refunds	$ 19.6	$ 39.3	$ 430.4

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- Definition

Amount of purchases of financial instrument classified as a liability measured using unobservable inputs that reflect the entity's own assumption about the assumptions market participants would use in pricing.

+ References

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-Name Accounting Standards Codification
-Topic 820
-SubTopic 10
-Section 50
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-Subparagraph (c)(2)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482106/820-10-50-2

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- Definition

The amount of cash paid during the current period to foreign, federal, state, and local authorities as taxes on income.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
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Amount of cash paid for interest, including, but not limited to, capitalized interest and payment to settle zero-coupon bond attributable to accreted interest of debt discount and debt instrument with insignificant coupon interest rate in relation to effective interest rate of borrowing attributable to accreted interest of debt discount; classified as operating and investing activities.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 230
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-Section 50
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- Definition

The amount of cash received during the period as refunds for the overpayment of taxes.

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