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Employee Benefit Plans (Details) - USD ($) | 12 Months Ended
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Jun. 01, 2019 | Jun. 02, 2018 | Jun. 03, 2017
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Accumulated Benefit Obligation | $ 106,400,000 | $ 103,100,000 |
Defined Benefit Plan, Expected Amortization of Gain (Loss), Next Fiscal Year | $ 3,300,000 |  |
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year | 6.70% |  |
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Ultimate Trend Rate | 0.043 |  |
Defined Benefit Plan, Assumptions Used in Calculating Net Periodic Benefit Costs, Health Care Cost Trend Rate Assumed for Next Fiscal Year | 7.10% |  |
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate | 4.30% |  |
Pension contributions | $ 900,000 | $ 13,400,000 | $ 1,100,000
Deferred Compensation Arrangement with Individual, Cash Awards Granted, Maximum Percentage |  |  | 6.00%
Defined Contribution Plan, Employer Matching Contribution, Percent of Match |  |  | 100.00%
Defined Contribution Plan, Maximum Annual Contributions Per Employee, Percent |  | 4.00% | 3.00%
Defined Contribution Plan, Core Contribution per Employee, Percent | 4.00% |  | 1.00%
Cost recognized | $ 25,400,000 | $ 24,900,000 | $ 22,800,000
Deferred Profit Sharing [Member] |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Contribution Plan, Employer Discretionary Contribution Amount | 0 |  | 6,000,000
Domestic |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Accumulated Benefit Obligation |  | 1,000,000 |
International |  |  |
Defined Benefit Plan Disclosure |  |  |
Defined Benefit Plan, Accumulated Benefit Obligation | $ 105,400,000 | 102,200,000 |
Retrospective adjustment ASU 2017-07 [Domain] | International |  |  |
Defined Benefit Plan Disclosure |  |  |
Net Periodic Defined Benefits Expense (Reversal of Expense), Excluding Service Cost Component |  | $ 1,400,000 | $ 300,000

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- Definition Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year + References No definition available. + Details
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- Definition Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Ultimate Trend Rate + References No definition available. + Details
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- Definition Defined Contribution Plan, Core Contribution per Employee, Percent + References No definition available. + Details
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- Definition Amount of actuarial present value of benefits attributed to employee service rendered, excluding assumptions about future compensation level. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=108410482&loc=d3e1928-114920 + Details
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- Definition Amount included in accumulated other comprehensive income (loss) for gain (loss) of defined benefit plan expected to be recognized in net periodic benefit (cost) credit for fiscal year following most recent annual statement of financial position. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (s) -URI http://asc.fasb.org/extlink&oid=108410482&loc=d3e1928-114920 + Details
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- Definition Assumed rate, for next fiscal year, based on annual change in cost of health care cost benefits used to measure expected cost of benefits covered by defined benefit postretirement plan. Factors include, but are not limited to, estimate of health care inflation, change in health care utilization or delivery pattern, technological advances, and change in health status of participant. Excludes factors for change in composition of plan population by age and dependency status. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (l) -URI http://asc.fasb.org/extlink&oid=108410482&loc=d3e1928-114920 + Details
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- Definition Ultimate trend rate for health care cost for defined benefit postretirement plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (l) -URI http://asc.fasb.org/extlink&oid=108410482&loc=d3e1928-114920 + Details
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- Definition Amount of cost for defined contribution plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 70 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=49170846&loc=d3e28014-114942 + Details
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- Definition Amount of expense (reversal of expense) for net periodic benefit cost components, excluding service cost component, of defined benefit plan. Amount includes, but is not limited to, interest cost, expected (return) loss on plan asset, amortization of prior service cost (credit), amortization of (gain) loss, amortization of transition (asset) obligation, settlement (gain) loss, curtailment (gain) loss and certain termination benefits. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 45 -Paragraph 3A -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109237824&loc=SL108413299-114919 + Details
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