Goodwill and Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($) $ in Millions |
9 Months Ended | |
|---|---|---|
May 31, 2026 |
May 31, 2025 |
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| Goodwill [Roll Forward] | ||
| Goodwill, beginning balance | $ 1,495.5 | $ 1,098.7 |
| Provisional amounts from acquired businesses | 363.5 | |
| Adjustments to provisional amounts from acquired businesses | 31.5 | |
| Foreign currency translation adjustments | (0.9) | (1.1) |
| Goodwill, ending balance | 1,494.6 | 1,492.6 |
| ABL | ||
| Goodwill [Roll Forward] | ||
| Goodwill, beginning balance | 1,016.0 | 1,015.1 |
| Provisional amounts from acquired businesses | 0.0 | |
| Adjustments to provisional amounts from acquired businesses | 0.0 | |
| Foreign currency translation adjustments | (0.3) | (0.3) |
| Goodwill, ending balance | 1,015.7 | 1,014.8 |
| AIS | ||
| Goodwill [Roll Forward] | ||
| Goodwill, beginning balance | 479.5 | 83.6 |
| Provisional amounts from acquired businesses | 363.5 | |
| Adjustments to provisional amounts from acquired businesses | 31.5 | |
| Foreign currency translation adjustments | (0.6) | (0.8) |
| Goodwill, ending balance | $ 478.9 | $ 477.8 |
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- Definition Amount, after accumulated impairment loss, of asset representing future economic benefit arising from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. Reference 1: http://www.xbrl.org/2003/role/exampleRef
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- Definition Amount of foreign currency translation gain (loss) which increases (decreases) asset representing future economic benefit from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Amount of increase (decrease) from measurement period adjustment of asset representing future economic benefit arising from other asset acquired in business combination or from joint venture formation or both, that is not individually identified and separately recognized. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. No definition available.
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