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Significant Accounting Policies - Goodwill and Other Intangibles (Details) | 12 Months Ended
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Aug. 31, 2019 USD ($) reporting_unit | Aug. 31, 2018 USD ($) reporting_unit | Aug. 31, 2017 USD ($)
Goodwill [Roll Forward] |  |  |
Begining balance | $ 970,600,000 | $ 900,900,000 |
Additions from acquired businesses | 2,000,000.0 | 77,000,000.0 |
Adjustments to provisional amounts | (200,000) |  |
Foreign currency translation adjustments | (5,100,000) | (7,300,000) |
Ending balance | $ 967,300,000 | 970,600,000 | $ 900,900,000
Weighted Average Amortization Period in Years | 17 years |  |
Amortized intangible assets, gross carrying amount | $ 523,900,000 | 526,200,000 |
Accumulated Amortization | (199,200,000) | (169,200,000) |
Amortization expense of finite-lived intangible assets | 30,800,000 | $ 28,500,000 | 28,000,000.0
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Amortization expense in fiscal 2020 | 30,800,000 |  |
Amortization expense in fiscal 2021 | 28,000,000.0 |  |
Amortization expense in fiscal 2022 | 27,000,000.0 |  |
Amortization expense in fiscal 2023 | 25,900,000 |  |
Amortization expense in fiscal 2024 | $ 25,400,000 |  |
Number of reporting units | reporting_unit | 1 | 1 |
Goodwill impairment charge | $ 0 | $ 0 | 0
Trade Names |  |  |
Acquired Indefinite-lived Intangible Assets [Line Items] |  |  |
Unamortized trade names, Gross Carrying Amount | 141,300,000 | 141,700,000 |
Intangible asset impairment charge | $ 0 |  | $ 0
Patents and patented technology |  |  |
Goodwill [Roll Forward] |  |  |
Weighted Average Amortization Period in Years | 12 years |  |
Amortized intangible assets, gross carrying amount | $ 135,700,000 | 137,200,000 |
Accumulated Amortization | $ (72,900,000) | (62,200,000) |
Trademarks and trade names |  |  |
Goodwill [Roll Forward] |  |  |
Weighted Average Amortization Period in Years | 19 years |  |
Amortized intangible assets, gross carrying amount | $ 27,200,000 | 27,200,000 |
Accumulated Amortization | $ (14,500,000) | (13,200,000) |
Distribution network |  |  |
Goodwill [Roll Forward] |  |  |
Weighted Average Amortization Period in Years | 28 years |  |
Amortized intangible assets, gross carrying amount | $ 61,800,000 | 61,800,000 |
Accumulated Amortization | $ (39,700,000) | (37,500,000) |
Customer relationships |  |  |
Goodwill [Roll Forward] |  |  |
Weighted Average Amortization Period in Years | 21 years |  |
Amortized intangible assets, gross carrying amount | $ 299,200,000 | 300,000,000.0 |
Accumulated Amortization | $ (72,100,000) | $ (56,300,000) |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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