Shareholders' Equity - Narrative (Details) $ / shares in Units, $ in Millions						3 Months Ended						12 Months Ended
	Oct. 23, 2019 $ / shares	Oct. 22, 2019 $ / shares	Jan. 02, 2019 USD ($)	Mar. 28, 2018 $ / shares	Mar. 27, 2018 USD ($) $ / shares shares	May 30, 2020 $ / shares shares	Feb. 29, 2020 $ / shares shares	Nov. 30, 2019 $ / shares shares	Aug. 31, 2019 $ / shares shares	May 25, 2019 $ / shares shares	Feb. 23, 2019 $ / shares shares	Aug. 29, 2020 $ / shares shares	Aug. 31, 2019 vote $ / shares shares
Class Of Stock [Line Items]
Shares repurchased (in shares)						46,667	20,500	50,600	52,650	99,500	45,000	118,000	197,150
Repurchase of common stock, value | $			$ 100.0		$ 146.0
Total cost of shares repurchased divided by the total number of shares repurchased | $ / shares					$ 124.00	$ 161.65	$ 206.34	$ 197.11	$ 181.61	$ 147.47	$ 139.57	$ 184.67	$ 154.78
Common Stock
Class Of Stock [Line Items]
Voting rights | vote													1
Dividend rate													125.00%
Shares repurchased (in shares)					73,000.000
Quarterly dividend amount (in dollars per share) | $ / shares	$ 0.25	$ 0.1125		$ 0.1125	$ 0.0375
Class B Common Stock
Class Of Stock [Line Items]
Voting rights | vote													10
Number of shares converted (in shares)													67,000
Shares repurchased (in shares)					1,105,000
Quarterly dividend amount (in dollars per share) | $ / shares	$ 0.20	$ 0.09		$ 0.09	$ 0.03