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Segment Information - Revenues Earned Directly or Indirectly from the U.S. Federal Government and its Agencies (Details)
12 Months Ended
Sep. 29, 2017
Sep. 30, 2016
Oct. 02, 2015
Segment Reporting [Abstract]      
Percentage of revenue earned from the U.S. federal government and its agencies 19.20% 21.40% 21.70%