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Earnings (Loss) Per Share (EPS) (Tables)
12 Months Ended
Jan. 03, 2020
Earnings Per Share [Abstract]  
Schedule of weighted average number of shares used to compute basic and diluted EPS
The weighted average number of shares used to compute basic and diluted EPS attributable to Leidos stockholders were:
 
 
Year Ended
 
 
January 3,
2020
 
December 28,
2018
 
December 29,
2017
 
 
(in millions)
Basic weighted average number of shares outstanding
 
143

 
151

 
152

Dilutive common share equivalents—stock options and other stock awards
 
2

 
2

 
2

Diluted weighted average number of shares outstanding
 
145

 
153

 
154