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Employee Benefit Plans - Schedule of Amounts Recognized in Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 12 Months Ended
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Jun. 01, 2019 | Jun. 02, 2018
Post-Retirement Benefits |  |
Defined Benefit Plan Disclosure |  |
Net actuarial gain | $ (0.3) | $ (0.5)
Total recognized in other comprehensive loss | (0.3) | (0.5)
Domestic |  |
Defined Benefit Plan Disclosure |  |
Net actuarial gain | 0.1 | 0.0
Total recognized in other comprehensive loss | 0.1 | 0.0
International |  |
Defined Benefit Plan Disclosure |  |
Net actuarial gain | 11.7 | (7.7)
Net amortization | (2.7) | (4.2)
Total recognized in other comprehensive loss | $ 9.0 | $ (11.9)

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- Definition Amount, before tax, of gain (loss) for (increase) decrease in value of benefit obligation for change in actuarial assumptions and increase (decrease) in value of plan assets from experience different from that assumed of defined benefit plan, that has not been recognized in net periodic benefit (cost) credit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 10A -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=114867106&loc=SL7669646-108580 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 11 -URI http://asc.fasb.org/extlink&oid=114867106&loc=d3e637-108580 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=108410482&loc=d3e1928-114920 + Details
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