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Goodwill and Intangible Assets (Tables) | 9 Months Ended
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May 31, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Future Amortization Expense | The following table summarizes the expected amortization expense for the next five fiscal years as of the date presented (in millions):
Fiscal Year |  | May 31, 2023
2023 |  | $ | 41.9 |
2024 |  | 38.1 |
2025 |  | 30.6 |
2026 |  | 27.9 |
2027 |  | 26.4 |
Schedule of Goodwill | The following table summarizes the changes in the carrying amount of goodwill by segment during the periods presented (in millions):
| ABL |  | ISG |  | Total
Balance as of August 31, 2022 | $ | 1,014.2 |  |  | $ | 70.1 |  |  | $ | 1,084.3 |
Provisional amounts from acquired businesses | — |  |  | 15.2 |  |  | 15.2 |
Derecognitions for divestitures | (0.7) |  |  | — |  |  | (0.7) |
Foreign currency translation adjustments | (0.2) |  |  | (1.9) |  |  | (2.1) |
Balance as of May 31, 2023 | $ | 1,013.3 |  |  | $ | 83.4 |  |  | $ | 1,096.7 |
| ABL |  | ISG |  | Total
Balance as of August 31, 2021 | $ | 1,022.2 |  |  | $ | 72.5 |  |  | $ | 1,094.7 |
Adjustments to provisional amounts from acquired businesses | 0.6 |  |  | — |  |  | 0.6 |
Foreign currency translation adjustments | (4.3) |  |  | (0.1) |  |  | (4.4) |
Balance as of May 31, 2022 | $ | 1,018.5 |  |  | $ | 72.4 |  |  | $ | 1,090.9 |

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