Retirement Benefit Plans - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2020
Defined Contribution Plan Disclosure [Line Items]
Projected benefit obligation of plan assets	$ 106.7	$ 110.0
Accumulated benefit obligation	99.5	105.2
Fair value of plan assets	112.5	107.2
Other long-term liabilities	9.3	12.1
Net periodic (benefit) cost	2.6	$ 2.8	$ 3.7
Estimated future employer contributions in next fiscal year	$ 4.8
Mandatory Retirement Savings, Cash Balance Plan
Defined Contribution Plan Disclosure [Line Items]
Weighted-average interest crediting rate	1.00%	1.00%	1.00%
Supplementary Retirement Savings, Cash Balance Plan
Defined Contribution Plan Disclosure [Line Items]
Weighted-average interest crediting rate	0.30%	0.10%	0.10%
United States
Defined Contribution Plan Disclosure [Line Items]
Maximum annual contributions per employee	75.00%
Cost Recognized	$ 24.3	$ 21.6	$ 21.4
Foreign Plan
Defined Contribution Plan Disclosure [Line Items]
Contributions paid by employer	$ 38.3	$ 31.7	$ 28.7