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Segment information - Schedule of Activity by Segment (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Jul. 30, 2022
Feb. 03, 2024
Jan. 28, 2023
Jan. 29, 2022
Segment Reporting Information [Line Items]        
Total sales   $ 7,171.1 $ 7,842.1 $ 7,826.0
Operating income (loss)   621.5 604.9 903.4
Interest income (expense), net   18.7 (13.5) (16.9)
Other non-operating expense, net   (0.4) (140.2) (2.1)
Income before income taxes   639.8 451.2 884.4
Depreciation and amortization   161.9 164.5 163.5
Segment, Expenditure, Addition to Long-Lived Assets   125.5 138.9 129.6
Restructuring charges   7.5 0.0 (3.3)
Asset impairments, net   9.1 22.7 1.5
Gain (Loss) Related to Litigation Settlement   (3.0) 203.8 1.7
Gain from sale of customer in-house finance receivable $ 1.4      
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal   12.3 0.0 0.0
Total assets   6,813.2 6,620.4  
Blue Nile        
Segment Reporting Information [Line Items]        
Acquisition related costs     4.2  
Diamonds Direct        
Segment Reporting Information [Line Items]        
Acquisition related costs       5.0
Corporate and unallocated        
Segment Reporting Information [Line Items]        
Operating income (loss)   (60.4) (70.5) (92.2)
Restructuring charges       (2.3)
Gain (Loss) Related to Litigation Settlement       1.7
Total assets   363.9 190.7  
North America        
Segment Reporting Information [Line Items]        
Total sales   6,703.8 7,289.5 7,264.8
North America | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales   6,703.8 7,289.5 7,264.8
Operating income (loss)   677.0 673.2 981.4
Depreciation and amortization   151.1 153.8 149.2
Segment, Expenditure, Addition to Long-Lived Assets   108.2 127.6 112.6
Restructuring charges   6.3   (1.0)
Asset impairments, net   9.0 20.0 2.0
Gain (Loss) Related to Litigation Settlement   (3.0) 203.8  
Gain from sale of customer in-house finance receivable       1.4
Total assets   5,913.0 5,901.5  
North America | Reportable segments | Diamonds Direct and Blue Nile        
Segment Reporting Information [Line Items]        
Acquisition related costs     13.4  
North America | Reportable segments | Blue Nile        
Segment Reporting Information [Line Items]        
Acquisition related costs   22.0 14.7  
North America | Reportable segments | Diamonds Direct        
Segment Reporting Information [Line Items]        
Acquisition related costs       5.4
North America | Reportable segments | Diamonds Direct and Rocksbox        
Segment Reporting Information [Line Items]        
Acquisition related costs       6.4
North America | Canada | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales   196.0 209.1 206.2
International        
Segment Reporting Information [Line Items]        
Total sales   430.7 470.1 492.4
International | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales   430.7 470.1 492.4
Operating income (loss)   13.1 (0.2) 14.4
Depreciation and amortization   10.4 10.3 14.0
Segment, Expenditure, Addition to Long-Lived Assets   17.0 10.9 16.6
Restructuring charges   1.2    
Asset impairments, net     2.7 (0.5)
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal   12.3    
Total assets   437.4 405.9  
Other        
Segment Reporting Information [Line Items]        
Total sales   36.6 82.5 68.8
Other | Reportable segments        
Segment Reporting Information [Line Items]        
Total sales   36.6 82.5 68.8
Operating income (loss)   (8.2) 2.4 (0.2)
Depreciation and amortization   0.4 0.4 0.3
Segment, Expenditure, Addition to Long-Lived Assets   0.3 0.4 $ 0.4
Total assets   $ 98.9 $ 122.3