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Debt and Lines of Credit - Lines of Credit (Details) $ in Millions | Jun. 29, 2018 USD ($) | Aug. 31, 2021 USD ($) | Aug. 31, 2020 USD ($)
--- | --- | --- | ---
Line of Credit Facility [Line Items] |  |  |
Borrowings outstanding under term loan facility |  | $ 494.3 | $ 401.1
Revolving credit facility borrowings |  |  |
Line of Credit Facility [Line Items] |  |  |
Outstanding letters of credit |  | 4.1 |
Lines of Credit |  |  |
Line of Credit Facility [Line Items] |  |  |
Minimum interest coverage ratio | 2.50 |  |
Maximum leverage ratio | 3.50 |  |
Outstanding letters of credit |  | 4.1 |
Lines of Credit | Minimum |  |  |
Line of Credit Facility [Line Items] |  |  |
Commitment fees rate | 0.125% |  |
Lines of Credit | Maximum |  |  |
Line of Credit Facility [Line Items] |  |  |
Commitment fees rate | 0.25% |  |
Lines of Credit | New Revolving Credit Facility |  |  |
Line of Credit Facility [Line Items] |  |  |
Revolving credit facility | $ 400.0 |  |
Term of facility | 5 years |  |
Lines of Credit | Borrowings under Term Loan Facility |  |  |
Line of Credit Facility [Line Items] |  |  |
Revolving credit facility | $ 400.0 |  |
Lines of Credit | Revolving credit facility borrowings |  |  |
Line of Credit Facility [Line Items] |  |  |
Additional borrowing capacity under revolving credit facility |  | 395.9 |
Unsecured Term Loan | Borrowings under Term Loan Facility |  |  |
Line of Credit Facility [Line Items] |  |  |
Borrowings outstanding under term loan facility |  | $ 0.0 | $ 395.0
Eurocurrency Rate | Lines of Credit | New Revolving Credit Facility | Minimum |  |  |
Line of Credit Facility [Line Items] |  |  |
Applicable margins as determined by leverage ratio | 1.00% |  |
Eurocurrency Rate | Lines of Credit | New Revolving Credit Facility | Maximum |  |  |
Line of Credit Facility [Line Items] |  |  |
Applicable margins as determined by leverage ratio | 1.375% |  |
Base Rate | Lines of Credit | New Revolving Credit Facility | Minimum |  |  |
Line of Credit Facility [Line Items] |  |  |
Applicable margins as determined by leverage ratio | 0.00% |  |
Base Rate | Lines of Credit | New Revolving Credit Facility | Maximum |  |  |
Line of Credit Facility [Line Items] |  |  |
Applicable margins as determined by leverage ratio | 0.375% |  |

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