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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. 28, 2025 | Sep. 29, 2024 | Oct. 01, 2023
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items] |  |  |
Beginning balance | $ 108.0 | $ 105.0 | $ 89.7
Increase related to prior year tax positions | 3.1 | 7.9 | 1.2
Decrease related to prior year tax positions | (0.4) | (6.4) | (0.4)
Increase related to current year tax positions | 12.9 | 10.3 | 14.5
Decreases related to settlements with taxing authorities | (0.7) | (8.8) | 0.0
Decreases related to lapsing of statute of limitations | (3.0) | 0.0 | 0.0
Ending balance | 119.9 | 108.0 | 105.0
Gross unrecognized tax benefits | 119.9 | 108.0 | 105.0
Unrecognized tax benefits affecting the effective tax rate if recognized | 76.6 |  |
Interest and penalties expense/(benefit) recognized in income tax expense | 8.4 | 8.8 | $ 5.7
Accrued interest and penalties | 30.4 | $ 22.5 |
Maximum [Member] |  |  |
Significant Change in Unrecognized Tax Benefits is Reasonably Possible [Line Items] |  |  |
Amount of reasonably possible unrecognized benefit change | $ 62.0 |  |

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