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Restructuring Expenses - Schedule of Restructuring Rollforward (Details) - USD ($) $ in Millions	12 Months Ended			24 Months Ended
	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018	May 30, 2020
Restructuring Reserve [Roll Forward]
Restructuring Costs	$ 26.4	$ 10.2	$ 5.7
North America Contract
Restructuring Reserve [Roll Forward]
Restructuring Costs	18.7	7.7	1.8
International Contract
Restructuring Reserve [Roll Forward]
Restructuring Costs	4.8	2.5	3.9
Retail
Restructuring Reserve [Roll Forward]
Restructuring Costs	2.9	0.0	0.0
Other Restructuring Plans
Restructuring Reserve [Roll Forward]
Beginning Balance	(7.9)	0.0		$ 0.0
Restructuring Costs	11.1	10.2
Amounts Paid	(12.3)	(2.3)
Ending Balance	(6.7)	(7.9)	0.0	(6.7)
Other Restructuring Plans | Severance and employee related expenses
Restructuring Reserve [Roll Forward]
Beginning Balance	(6.8)	0.0		0.0
Restructuring Costs	9.9	7.0
Amounts Paid	(10.8)	(0.2)
Ending Balance	(5.9)	(6.8)	0.0	(5.9)
Other Restructuring Plans | Exit or Disposal Activities
Restructuring Reserve [Roll Forward]
Beginning Balance	(1.1)	0.0		0.0
Restructuring Costs	1.2	3.2
Amounts Paid	(1.5)	(2.1)
Ending Balance	(0.8)	(1.1)	$ 0.0	(0.8)
May 2020 Restructuring Plan | Severance and employee related expenses
Restructuring Reserve [Roll Forward]
Beginning Balance	0.0
Restructuring Costs	15.3
Ending Balance	$ (15.3)	$ 0.0		$ (15.3)

X

- Definition

Amount of cash payments made as the result of exit or disposal activities. Excludes payments associated with a discontinued operation or an asset retirement obligation.

+ References

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Carrying amount (including both current and noncurrent portions of the accrual) as of the balance sheet date pertaining to a specified type of cost associated with exit from or disposal of business activities or restructuring pursuant to a duly authorized plan.

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