Income Taxes - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2020	Jan. 31, 2019
Income Taxes [Line Items]
Foreign pretax income (loss)	$ 559.5	$ 527.8	$ 475.5
Deferred tax assets, valuation allowance	188.3	186.5
Valuation allowance increase (decrease)	1.8	(696.9)	85.6
Gross unrecognized tax benefits	206.7	198.0	220.6	$ 209.0
Unrecognized tax benefits that would reduce the valuation allowance if recognized	33.6
Effect of change in unrecognized tax benefits	7.8
Unrecognized tax benefits	6.5	4.5	2.3
Income tax expense from penalties and interest	2.1	2.2	(0.8)
Valuation Allowance, Tax Credit Carryforward
Income Taxes [Line Items]
Amount of gross unrecognized tax benefits that would impact the effective tax rate, if recognized	173.1
Foreign Country
Income Taxes [Line Items]
Deferred tax assets, valuation allowance	60.5
Operating loss carryforwards	164.0
Tax credit carryforward	119.3
Foreign Country | Norway
Income Taxes [Line Items]
Operating loss carryforwards	28.7
Foreign Country | Singapore
Income Taxes [Line Items]
Valuation allowance increase (decrease)			$ (42.0)
Operating loss carryforwards	85.2
Foreign Country | NETHERLANDS
Income Taxes [Line Items]
Operating loss carryforwards	41.3
Foreign Country | Canada | Research Tax Credit Carryforward
Income Taxes [Line Items]
Tax credit carryforward	49.2
Foreign Country | ONTARIO | Research Tax Credit Carryforward
Income Taxes [Line Items]
Tax credit carryforward	1.4
Domestic Country
Income Taxes [Line Items]
Valuation allowance increase (decrease)		$ (679.0)
Operating loss carryforwards	41.0
Domestic Country | Research Tax Credit Carryforward
Income Taxes [Line Items]
Tax credit carryforward	190.8
State and Local Jurisdiction
Income Taxes [Line Items]
Operating loss carryforwards	585.4
State and Local Jurisdiction | California | Research Tax Credit Carryforward
Income Taxes [Line Items]
Tax credit carryforward	$ 106.5