Revenue from Contracts with Customers - Differences Due to Adoption Balance Sheet (Details) - USD ($) $ in Millions	Sep. 01, 2018	Jun. 03, 2018	Jun. 02, 2018
ASSETS
Unbilled accounts receivable	$ 25.4	$ 13.0	$ 1.9
Inventories, net	163.8	155.3	162.4
Liabilities:
Accrued compensation and benefits	68.8	86.5	86.3
Other accrued liabilities	73.0	78.9	77.0
Stockholders' Equity:
Retained earnings	624.5	600.2	$ 598.3
Legacy GAAP
ASSETS
Unbilled accounts receivable	3.6
Inventories, net	176.3
Liabilities:
Accrued compensation and benefits	68.5
Other accrued liabilities	69.6
Stockholders' Equity:
Retained earnings	618.9
Accounting Standards Update 2014-09
ASSETS
Unbilled accounts receivable		11.1
Inventories, net		(7.1)
Liabilities:
Accrued compensation and benefits		0.2
Other accrued liabilities		1.9
Stockholders' Equity:
Retained earnings		$ 1.9
Accounting Standards Update 2014-09 | Performance Obligation Change
ASSETS
Unbilled accounts receivable	(21.8)
Inventories, net	12.5
Liabilities:
Accrued compensation and benefits	(0.3)
Other accrued liabilities	(3.4)
Stockholders' Equity:
Retained earnings	$ (5.6)