Summary of Significant Accounting Policies and Basis of Presentation - Additional Information (Details) $ in Millions	3 Months Ended	9 Months Ended	12 Months Ended
	Jan. 31, 2024 segment	Oct. 31, 2024 segment	Oct. 31, 2024 USD ($)	Oct. 31, 2023 USD ($)	Oct. 31, 2022 USD ($)
Summary Of Significant Accounting Policies [Line Items]
Number of reportable segments | segment	3	2
Cash and cash equivalent maturity period, months			3 months
Debt securities and other investments, minimum short term maturity, period			3 months
Debt securities and other investments, maximum maturity, period			3 years
Depreciation expenses			$ 162.9	$ 141.4	$ 103.9
Repair and maintenance costs			$ 89.4	$ 74.4	$ 65.2
Software product warranty period (in days)			90 days
Minimum
Summary Of Significant Accounting Policies [Line Items]
Intangible assets amortization period		1 year	1 year
Maximum
Summary Of Significant Accounting Policies [Line Items]
Intangible assets amortization period		13 years	13 years
Hardware product warranty period (in months)			6 months