Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Period which an employee's right to exercise an award is no longer contingent on satisfaction of either a service condition, market condition or a performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Net number of share options (or share units) granted during the period.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Number of options outstanding, including both vested and non-vested options.

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Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option plan.

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Weighted average per share amount at which grantees can acquire shares of common stock by exercise of options.

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Percentage of vesting of share-based compensation awards.

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SHARE-BASED PAYMENTS - Narrative (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2016	Nov. 29, 2015	Nov. 27, 2016	Nov. 29, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	$ 17.9	$ 15.0	$ 32.7	$ 37.4
Typical original vesting period			3 years
Outstanding stock options (in shares)	7.6		7.6
Weighted average exercise price of outstanding stock options (in dollars per share)	$ 26.89		$ 26.89
Weighted average value of stock options granted (in dollars per share)			$ 6.12
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options granted (in shares)			1.1
Weighted average exercise price of stock options granted (in dollars per share)			$ 48.01
Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock granted, shares (in shares)			0.5
Weighted average grant date price (in dollars per share)			$ 47.56
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock granted, shares (in shares)			0.4
Weighted average grant date price (in dollars per share)			$ 48.07
Nonvested awards (in shares)	1.7		1.7
Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock granted, shares (in shares)			0.2
Weighted average grant date price (in dollars per share)			$ 46.94
Nonvested awards (in shares)	0.9		0.9
Subsidiaries \| Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total stock-based compensation expense	$ 0.3		$ 0.2	$ 0.2
2016 EBITDA \| Fiscal 2018 \| Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)			33.33%
2016 EBITDA \| Fiscal 2019 \| Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)			33.33%
2017 EBITDA \| Fiscal 2018 \| Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)			33.33%
2017 EBITDA \| Fiscal 2019 \| Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)			66.66%
2018 EBITDA \| Fiscal 2018 \| Performance shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance shares based on earnings per share goal and EBITDA return on capital (as a percent)			33.33%