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Acquisitions and Divestitures (Details) $ in Millions | 3 Months Ended | 9 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | ---
Nov. 30, 2022 USD ($) | May 31, 2024 USD ($) divestiture | Aug. 31, 2023 USD ($) | May 31, 2023 USD ($) | Oct. 30, 2022 USD ($) | Aug. 31, 2022 USD ($)
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |
Goodwill |  | $ 1,096.7 | $ 1,097.9 | $ 1,096.7 |  | $ 1,084.3
Number of divestitures | divestiture |  | 0 |  |  |  |
Disposal Group, Not Discontinued Operations | Sunoptics Prismatic Skylights Business |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |
Assets transferred |  |  |  |  | $ 15.1 |
Pre-tax loss on the sale | $ 11.2 |  |  |  |  |
KE2 Therm Solutions, Inc |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |
Measurement period adjustments |  | $ 0.0 |  |  |  |
Goodwill |  | 15.0 |  |  |  |
Identified intangible assets |  | $ 18.0 |  |  |  |
Weighted average amortization period (in years) |  | 15 years |  |  |  |

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