Segment and Geographic Information - Geographic Location Data (Parenthetical) (Details) - USD ($) $ in Millions	3 Months Ended
Apr. 30, 2022	Apr. 30, 2021
United States
Segment Reporting Information [Line Items]
Unallocated corporate expenses	$ 13.5	$ 8.9
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
International
Segment Reporting Information [Line Items]
Profits related to the company's supply chain operations	19.1	13.9
International \| Watch and Accessory Brands \| Olivia Burton Band
Segment Reporting Information [Line Items]
Charge related to the amortization of intangible assets	$ 0.7	$ 0.7

The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123570139&loc=d3e3602-108585

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (a)(2)
-URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 45
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274

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