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Total Equity - Dividends Paid (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 28, 2019
Jan. 25, 2018
Jan. 26, 2017
Dec. 31, 2018
Dec. 31, 2017
Dividends Declared [Line Items]          
Dividend per share (in dollars per share)   $ 10 $ 10 $ 10 $ 10
Total cash payment   $ 283.2 $ 237.4 $ 442.7 $ 304.9
Subsequent event          
Dividends Declared [Line Items]          
Dividend per share (in dollars per share) $ 10        
Total cash payment $ 278.0