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Segment information - Schedule of Activity by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended
Apr. 29, 2023
Apr. 30, 2022
Segment Reporting Information [Line Items]    
Total sales $ 1,668.0 $ 1,838.3
Operating income (loss): 101.7 0.2
Interest income (expense), net 5.6 (4.4)
Other non-operating expense, net (0.4) (134.5)
Income (loss) before income taxes 106.9 (138.7)
Litigation settlement, expense (3.0) 190.0
Corporate and unallocated expenses    
Segment Reporting Information [Line Items]    
Operating income (loss): (15.4) (21.2)
North America    
Segment Reporting Information [Line Items]    
Total sales 1,561.2 1,705.0
North America | Reportable segments    
Segment Reporting Information [Line Items]    
Total sales 1,561.2 1,705.0
Operating income (loss): 124.7 24.8
Litigation settlement, expense (3.0) 190.0
North America | Reportable segments | Blue Nile    
Segment Reporting Information [Line Items]    
Acquisition and integration related costs 7.8  
North America | Reportable segments | Diamonds Direct USA Inc. | Fair Value Adjustment to Inventory    
Segment Reporting Information [Line Items]    
Acquisition and integration related costs   4.4
International    
Segment Reporting Information [Line Items]    
Total sales 93.0 110.0
International | Reportable segments    
Segment Reporting Information [Line Items]    
Total sales 93.0 110.0
Operating income (loss): (6.9) (6.4)
Other    
Segment Reporting Information [Line Items]    
Total sales 13.8 23.3
Other | Reportable segments    
Segment Reporting Information [Line Items]    
Total sales 13.8 23.3
Operating income (loss): $ (0.7) $ 3.0