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v3.22.2.2

Significant Accounting Policies - Goodwill and Other Intangibles (Details) | 12 Months Ended
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Aug. 31, 2022 USD ($) | Aug. 31, 2021 USD ($) | Aug. 31, 2020 USD ($) intangible_asset
Goodwill [Roll Forward] |  |  |
Beginning balance | $ 1,094,700,000 | $ 1,080,000,000 |
Additions from acquired businesses |  | 10,000,000.0 |
Adjustments to provisional amounts from acquired businesses | 2,300,000 |  |
Foreign currency translation adjustments | (12,700,000) | 4,700,000 |
Ending balance | 1,084,300,000 | 1,094,700,000 | $ 1,080,000,000
Gross Carrying Amount | 677,500,000 | 682,800,000 |
Accumulated Amortization | (322,000,000.0) | (284,400,000) |
Amortization expense of finite-lived intangible assets | 41,000,000 | 40,700,000 | 41,700,000
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Amortization expense in fiscal 2023 | 42,900,000 |  |
Amortization expense in fiscal 2024 | 38,500,000 |  |
Amortization expense in fiscal 2025 | 30,900,000 |  |
Amortization expense in fiscal 2026 | 28,300,000 |  |
Amortization expense in fiscal 2027 | 26,400,000 |  |
Goodwill impairment charge | 0 | 0 | $ 0
Number of unimpaired intangible assets | intangible_asset |  |  | 12
Trade Names |  |  |
Goodwill [Roll Forward] |  |  |
Indefinite-lived trade names | 173,700,000 | 174,800,000 |
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract] |  |  |
Intangible asset impairment charge | 0 | 0 | $ 1,400,000
Number of impaired intangible assets | intangible_asset |  |  | 1
Patents and patented technology |  |  |
Goodwill [Roll Forward] |  |  |
Gross Carrying Amount | 160,800,000 | 164,600,000 |
Accumulated Amortization | (116,000,000.0) | (104,400,000) |
Trademarks and trade names |  |  |
Goodwill [Roll Forward] |  |  |
Gross Carrying Amount | 27,200,000 | 27,200,000 |
Accumulated Amortization | (18,300,000) | (17,100,000) |
Distribution network |  |  |
Goodwill [Roll Forward] |  |  |
Gross Carrying Amount | 61,800,000 | 61,800,000 |
Accumulated Amortization | (47,300,000) | (45,000,000.0) |
Customer relationships |  |  |
Goodwill [Roll Forward] |  |  |
Gross Carrying Amount | 427,700,000 | 429,200,000 |
Accumulated Amortization | (140,400,000) | (117,900,000) |
ABL |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance | 1,022,200,000 | 1,012,600,000 |
Additions from acquired businesses |  | 6,900,000 |
Adjustments to provisional amounts from acquired businesses | 2,300,000 |  |
Foreign currency translation adjustments | (10,300,000) | 2,700,000 |
Ending balance | 1,014,200,000 | 1,022,200,000 | $ 1,012,600,000
ISG |  |  |
Goodwill [Roll Forward] |  |  |
Beginning balance | 72,500,000 | 67,400,000 |
Additions from acquired businesses |  | 3,100,000 |
Adjustments to provisional amounts from acquired businesses | 0 |  |
Foreign currency translation adjustments | (2,400,000) | 2,000,000.0 |
Ending balance | $ 70,100,000 | $ 72,500,000 | $ 67,400,000

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