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Segment information - Schedule of Activity by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Oct. 28, 2023
Oct. 29, 2022
Oct. 28, 2023
Oct. 29, 2022
Segment Reporting Information [Line Items]        
Total sales $ 1,391.9 $ 1,582.7 $ 4,673.5 $ 5,175.9
Operating income (loss): 13.3 48.4 205.2 235.4
Interest income (expense), net 2.6 (3.6) 10.0 (11.4)
Other non-operating expense, net (2.3) (2.7) (2.4) (139.6)
Income before income taxes 13.6 42.1 212.8 84.4
Restructuring charges 1.6 0.0 5.8 0.0
Litigation settlement, expense 0.0 0.0 (3.0) 190.0
Asset impairments, net 0.1 1.9 5.7 2.0
Corporate and unallocated expenses        
Segment Reporting Information [Line Items]        
Operating income (loss): (13.8) (10.2) (48.1) (54.5)
North America        
Segment Reporting Information [Line Items]        
Total sales 1,291.1 1,464.8 4,353.4 4,786.2
North America | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales 1,291.1 1,464.8 4,353.4 4,786.2
Operating income (loss): 39.2 65.4 281.0 300.3
Restructuring charges 0.2   4.4  
Litigation settlement, expense     (3.0) 190.0
Asset impairments, net     5.6  
North America | Reportable segments | Blue Nile        
Segment Reporting Information [Line Items]        
Acquisition and integration related costs 7.5 4.7 20.1 7.3
North America | Reportable segments | Diamonds Direct USA Inc. | Fair Value Adjustment to Inventory        
Segment Reporting Information [Line Items]        
Acquisition and integration related costs   5.0   15.2
International        
Segment Reporting Information [Line Items]        
Total sales 94.0 95.3 289.0 316.9
International | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales 94.0 95.3 289.0 316.9
Operating income (loss): (9.0) (6.5) (22.9) (14.9)
Restructuring charges 1.4   1.4  
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal (1.3)   (1.3)  
Other        
Segment Reporting Information [Line Items]        
Total sales 6.8 22.6 31.1 72.8
Other | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales 6.8 22.6 31.1 72.8
Operating income (loss): $ (3.1) $ (0.3) $ (4.8) $ 4.5