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Income Taxes - Reconciliation between the Expected Provision for Income taxes at the US Federal Statutory Rate and the Provision for Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jul. 31, 2021
Oct. 31, 2023
Oct. 31, 2022
Oct. 31, 2021
Income Tax Disclosure [Abstract]        
Provision for income taxes at United States statutory tax rate   $ 86.7 $ 99.8 $ 103.2
Foreign earnings in jurisdictions with different tax rates   7.0 (22.3) (43.6)
Foreign earnings subject to United States tax   34.3 21.1 25.4
Excess tax benefits from share-based compensation   (2.4) (2.6) (13.0)
Intra-group transfer to UK subsidiary   0.0 0.0 (1,987.8)
Remeasurement of deferred tax assets from UK rate change $ (536.7) 0.0 0.0 (536.7)
Change in unrecognized tax benefits   0.0 (12.7) (7.6)
State tax provision   (4.2) 5.0 0.8
Other, net   (2.7) 1.2 6.1
Provision for income taxes   $ 118.7 $ 89.5 $ (2,453.2)