Fair Value - Schedule of Fair Value Assets and Liabilities Measured on a Recurring and Nonrecurring Basis (Details) - USD ($) $ in Millions	May 30, 2020	Mar. 31, 2020	Jun. 01, 2019	Jun. 02, 2018
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	$ 7.0		$ 8.8
Indefinite-lived intangibles	92.8	$ 93.3	78.1	$ 78.1
DWR Right of use assets	193.9		0.0
Mutual funds - equity
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	0.7		0.9
Mutual funds - fixed income
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	6.3		7.9
Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Total			13.4
NAV | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Total	283.7		69.5
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Deferred compensation plan	13.2		12.5
Total	15.0
Total	0.8		1.4
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Interest rate swap agreement
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Interest Rate Swap Agreement	25.0		1.2
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Mutual funds - equity
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Mutual funds - equity	0.7		0.9
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Mutual funds - fixed income
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	6.3		7.9
Fair Value, Inputs, Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Indefinite-lived intangibles	92.8
Money Market Funds | NAV | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Money market funds	283.7		69.5
Money Market Funds | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Money market funds	0.0		0.0
Other Current Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Foreign currency forward contracts
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Foreign currency forward contracts - asset	1.1		0.0
Other Current Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Foreign currency forward contracts
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Foreign currency forward contracts - liability	0.8		1.4
Other Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	6.3		8.9
Other Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Interest rate swap agreement
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Interest Rate Swap Agreement	0.0		1.0
Other Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Available-for-sale Securities	25.0		2.2
Other Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Interest rate swap agreement
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Interest Rate Swap Agreement			$ 2.2
Design Within Reach
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
Indefinite-lived intangibles		$ 31.5
DWR Right of use assets	110.9
Design Within Reach | Fair Value, Inputs, Level 3
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis
DWR Right of use assets	$ 110.9