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Accounts Receivable - Net and Revenue Recognition (Details) - USD ($)
$ in Millions
 12 Months Ended
Oct. 01, 2017
Oct. 02, 2016
Sep. 27, 2015
Financial information concerning reportable segments      
Period for billing and collecting unbilled receivables 12 months    
Period for earning majority of billings in excess of costs 12 months    
Unbilled accounts receivable related to claims and requests for equitable adjustment on contracts $ 59.0 $ 45.0  
Billed accounts receivable related to U.S. federal government contracts 45.4 47.4  
U.S. federal government unbilled receivables $ 109.7 $ 92.2  
Threshold percentage for disclosure of accounts receivable from a single client 10.00% 10.00%  
Net unfavorable operating income adjustments $ 8.0   $ 8.9
Liability for anticipated losses 8.1 $ 6.7  
Estimated cost to complete the related contracts 5.0    
RCM      
Financial information concerning reportable segments      
Reduction in the revenue related to the evaluation of the claims 4.9    
Gain (loss) from claim settlement (3.6) 4.6  
Cash proceeds from claim settlement   13.4  
Claims settlement amount   8.8  
Decrease in operating income related to the increase in allowance for doubtful accounts   7.9  
Increase in allowance for doubtful accounts   7.9  
Collectability of certain accounts receivable   4.6  
Net unfavorable operating income adjustments 5.7 $ 2.3  
RME      
Financial information concerning reportable segments      
Net unfavorable operating income adjustments $ 2.3