Segment and Geographic Information - Geographic Location Data (Parenthetical) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 31, 2022	Jul. 31, 2021	Jul. 31, 2022	Jul. 31, 2021
United States
Segment Reporting Information [Line Items]
Unallocated corporate expenses	$ 12.5	$ 13.0	$ 26.0	$ 21.9
United States | Watch and Accessory Brands | MVMT Watches, Inc.
Segment Reporting Information [Line Items]
Charge related to the amortization of intangible assets	0.1	0.1	0.2	0.2
International
Segment Reporting Information [Line Items]
Profits related to the company's supply chain operations	18.8	16.9	37.9	30.8
International | Watch and Accessory Brands | Olivia Burton Band
Segment Reporting Information [Line Items]
Charge related to the amortization of intangible assets	$ 0.6	$ 0.7	$ 1.3	$ 1.4