|**Non-Operating Income (Loss)**                     | 12 Months Ended                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|--------------------------------------------------- | ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
|
|**Nonoperating Income (Expense) [Abstract]**        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|NON-OPERATING INCOME (LOSS)                         | NON-OPERATING INCOME (LOSS)The components of non-operating income (loss) were as follows:201620152014(In millions)Loss on prepayment of long-term debt(1)$—$(118)$—Gain on sales of businesses109—Net income related to intellectual property matters—14$10$(108)$4(1)The loss in fiscal 2015 reflected charges associated with our optional redemption on May 27, 2015 of the entire outstanding$400 millionprincipal amount of our5.95%Notes due December 1, 2017 and the entire outstanding$350 millionprincipal amount of our6.375%Notes due June 15, 2019.
|                                                   
|                                                    |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|                                                    | 2016                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
|                                                    |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|                                                    | (In millions)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
|Loss on prepayment of long-term debt(1)             | $                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|Gain on sales of businesses                         | 10                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
|Net income related to intellectual property matters | —                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|                                                    | $                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
|                                                    |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
|(1)                                                 | The loss in fiscal 2015 reflected charges associated with our optional redemption on May 27, 2015 of the entire outstanding$400 millionprincipal amount of our5.95%Notes due December 1, 2017 and the entire outstanding$350 millionprincipal amount of our6.375%Notes due June 15, 2019.                                                                                                                                                                                                                                                                      

X- DefinitionOther income and other expense disclosure non operating.
+ ReferencesNo definition available.
+ Details**Name:**
hrs_OtherIncomeAndOtherExpenseDisclosureNonOperatingTextBlock**Namespace Prefix:**
hrs_**Data Type:**
nonnum:textBlockItemType**Balance Type:**
na**Period Type:**
duration X- ReferencesNo definition available.
+ Details**Name:**
us-gaap_NonoperatingIncomeExpenseAbstract**Namespace Prefix:**
us-gaap_**Data Type:**
xbrli:stringItemType**Balance Type:**
na**Period Type:**
duration