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Income Taxes (Summary of Activity Related to Unrecognized Tax Benefits) (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 29, 2024 | Oct. 01, 2023 | Oct. 02, 2022
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items] |  |  |
Beginning balance | $ 105.0 | $ 89.7 | $ 82.6
Increase related to prior year tax positions | 7.9 | 1.2 | 0.2
Decrease related to prior year tax positions | (6.4) | (0.4) | (0.7)
Increase related to current year tax positions | 10.3 | 14.5 | 9.0
Decreases related to settlements with taxing authorities | (8.8) | 0.0 | 0.0
Decreases related to lapsing of statute of limitations | 0.0 | 0.0 | (1.4)
Ending balance | 108.0 | 105.0 | 89.7
Gross unrecognized tax benefits | 108.0 | 105.0 | 89.7
Unrecognized tax benefits affecting the effective tax rate if recognized | 72.1 |  |
Interest and penalties expense/(benefit) recognized in income tax expense | 8.8 | 5.7 | $ 2.3
Accrued interest and penalties | 22.5 | $ 15.1 |
Maximum [Member] |  |  |
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items] |  |  |
Amount of reasonably possible unrecognized benefit change | $ 58.0 |  |

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