Segment and Geographic Information - Geographic Location Data (Parenthetical) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 31, 2024	Oct. 31, 2023	Oct. 31, 2024	Oct. 31, 2023
Segment Reporting Information [Line Items]
Pre-tax charge related to cost-savings initiative	$ 2.7
United States
Segment Reporting Information [Line Items]
Unallocated corporate expenses	11.9	$ 14.3	$ 30.0	$ 36.0
United States | Watch and Accessory Brands
Segment Reporting Information [Line Items]
Pre-tax charge related to cost-savings initiative	1.5		1.5
International
Segment Reporting Information [Line Items]
Profits related to the company's supply chain operations	20.5	$ 22.9	48.8	$ 55.4
International | Watch and Accessory Brands
Segment Reporting Information [Line Items]
Pre-tax charge related to cost-savings initiative	$ 1.2		$ 1.2