| **Stock Options and Other Share-Based Compensation (Tables)**                 | 12 Months Ended                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         |
|-------------------------------------------------------------------------------|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
||
| **Disclosure of Compensation Related Costs, Share-based Payments [Abstract]** |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
| Summary of amounts and classifications of share-based compensation expense    | The following table summarizes the amounts and classification of share-based compensation expense: 2016 2015 2014       (In millions)Total expense$39 $37 $35Included in:     Cost of product sales and services$4 $4 $4Engineering, selling and administrative expenses35 33 31Income from continuing operations39 37 35Tax effect on share-based compensation expense(15) (11) (11)Total share-based compensation expense after-tax$24 $26 $24                                                                                                                                                                                                                                 |
| Assumptions used in calculating fair value of stock option grants             | A summary of the significant assumptions used in determining the fair value of stock option grants under our SIPs is as follows: 2016 2015 2014      Expected dividends2.5% 2.7% 2.8%Expected volatility23.0% 24.3% 30.7%Risk-free interest rates1.5% 1.7% 1.7%Expected term (years)5.05 5.02 5.10                                                                                                                                                                                                                                                                                                                                                                                                                                 |
| Summary of stock option activity                                              | A summary of stock option activity under our SIPs as of July 1, 2016 and changes during fiscal 2016 is as follows: Shares WeightedAverageExercisePricePer Share WeightedAverageRemainingContractualTerm AggregateIntrinsic Value     (In years) (In millions)Stock options outstanding at July 3, 20154,228,123 $54.99    Stock options forfeited or expired(287,507) $72.91    Stock options granted1,658,000 $77.57    Stock options exercised(662,771) $49.38    Stock options outstanding at July 1, 20164,935,845 $62.28 7.50 $100.25Stock options exercisable at July 1, 20162,252,136 $48.19 6.09 $77.47 |
| Nonvested stock options                                                       | A summary of the status of our nonvested stock options at July 1, 2016 and changes during fiscal 2016 is as follows: Shares Weighted-AverageGrant-DateFair ValuePer ShareNonvested stock options at July 3, 20152,318,908 $12.16Stock options granted1,658,000 $12.68Stock options vested(1,293,199) $11.83Nonvested stock options at July 1, 20162,683,709 $12.64                                                                                                                                                                                                                                                                                                                                                                                                                   |
| Summary of restricted stock and restricted stock units                        | A summary of the status of these awards at July 1, 2016 and changes during fiscal 2016 is as follows: Shares Weighted-AverageGrantPricePer ShareRestricted stock and restricted stock units outstanding at July 3, 2015462,448 $63.48Restricted stock and restricted stock units granted125,900 $81.53Restricted stock and restricted stock units vested(127,443) $51.23Restricted stock and restricted stock units forfeited(49,030) $77.95Restricted stock and restricted stock units outstanding at July 1, 2016411,875 $71.07                                                                                                                                                                                                                                |
| Summary of performance shares and performance share units                     | A summary of the status of these awards at July 1, 2016 and changes during fiscal 2016 is as follows: Shares Weighted-AverageGrantPricePer SharePerformance share units outstanding at July 3, 2015763,356 $56.33Performance share units granted356,666 $73.32Performance share units vested(376,103) $47.51Performance share units forfeited(62,188) $68.92Performance share units outstanding at July 1, 2016681,731 $68.94                                                                                                                                                                                                                                                                                                                                         |

| X                                                                                                                                                                                                                                                                                                                            |
|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Assumptions used in calculating fair value of stock option grants.
+ References
No definition available.
+ Details**Name:**hrs_AssumptionsUsedInCalculatingFairValueOfStockOptionGrantsTableTextBlock**Namespace Prefix:**hrs_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                              |
|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Summary of performance shares and performance share units.
+ References
No definition available.
+ Details**Name:**hrs_SummaryOfPerformanceSharesAndPerformanceShareUnitsTableTextBlock**Namespace Prefix:**hrs_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                        |
|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Summary of restricted stock and restricted stock units.
+ References
No definition available.
+ Details**Name:**hrs_SummaryOfRestrictedStockAndRestrictedStockUnitsTableTextBlock**Namespace Prefix:**hrs_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                               |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Summary of stock option activity.
+ References
No definition available.
+ Details**Name:**hrs_SummaryOfStockOptionActivityTableTextBlock**Namespace Prefix:**hrs_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                        |
|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - References
No definition available.
+ Details**Name:**us-gaap_DisclosureOfCompensationRelatedCostsSharebasedPaymentsAbstract**Namespace Prefix:**us-gaap_**Data Type:**xbrli:stringItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         |
|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of the allocation of equity-based compensation costs to a given line item on the balance sheet and income statement for the period. This may include the reporting line for the costs and the amount capitalized and expensed.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5047-113901Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -URI http://asc.fasb.org/extlink&oid=27013229&loc=d3e301413-122809
+ Details**Name:**us-gaap_ScheduleOfEmployeeServiceShareBasedCompensationAllocationOfRecognizedPeriodCostsTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |
| X                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    |
|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Tabular disclosure of the changes in outstanding nonvested shares.
+ References
Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901
+ Details**Name:**us-gaap_ScheduleOfNonvestedShareActivityTableTextBlock**Namespace Prefix:**us-gaap_**Data Type:**nonnum:textBlockItemType**Balance Type:**na**Period Type:**duration |