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Restructuring plans - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 42 Months Ended
Jul. 31, 2021
Aug. 01, 2020
May 05, 2018
Jul. 31, 2021
Aug. 01, 2020
Jul. 31, 2021
Jan. 30, 2021
Restructuring Cost and Reserve [Line Items]              
Restructuring charges $ 0.9 $ (28.9)   $ 1.6 $ (41.6)    
Signet Path to Brilliance              
Restructuring Cost and Reserve [Line Items]              
Restructuring plan, length     3 years        
Restructuring charges 0.9 $ (28.7)   1.6 $ (41.0) $ (251.0)  
Restructuring reserve 7.2     7.2   7.2 $ 10.2
Signet Path to Brilliance | Accrued expenses and other current liabilities              
Restructuring Cost and Reserve [Line Items]              
Restructuring reserve 5.0     5.0   5.0  
Signet Path to Brilliance | Other noncurrent liabilities              
Restructuring Cost and Reserve [Line Items]              
Restructuring reserve $ 2.2     $ 2.2   $ 2.2