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Significant Accounting Policies - Other Long-Term Assets and Liabilities (Details) $ in Millions	12 Months Ended
	Aug. 31, 2019 USD ($) Employee	Sep. 01, 2018 USD ($)	Aug. 31, 2018 USD ($)
Other Long-Term Assets [Abstract]
Deferred contract costs	$ 15.4		$ 12.8
Net overfunded pension plans	0.0		1.6
Other	2.3		4.4
Total other long-term assets	$ 17.7		18.8
Number of former employees covered under life insurance policy | Employee	66
Other Long-Term Liabilities [Abstract]
Deferred compensation and postretirement benefits other than pensions	$ 41.6		40.0
Service-type warranties	46.4	$ 35.0
Uncertain tax positions liability, including interest	17.6		4.9
Other	5.2		8.2
Total other long-term liabilities	$ 110.7		67.9
Percentage contribution rate of eligible employee's compensation	3.00%
Service-Type Warranties
Other Long-Term Liabilities [Abstract]
Service-type warranties	$ 46.3
Service-type warranties			$ 14.8

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- Definition

Aggregate carrying value as of the balance sheet date of the liabilities for deferred compensation arrangements and other postretirement benefit plans (other than pensions) payable beyond one year (or the operating cycle, if longer).

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Life Insurance, Number of Current and Former Employees Covered

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Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as noncurrent.

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