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Supplemental Disaggregated Information (Tables)
 12 Months Ended
Aug. 31, 2022
Segment Reporting [Abstract]  
Schedule of Revenue from External Customers and Long-Lived Assets, by Geographical Areas Our geographic distribution of net sales, operating profit, income before provision for income taxes, and long-lived assets is summarized in the following table during and as of the periods presented (in millions):
Year Ended August 31,
202220212020
Net sales(1):
   
Domestic(2)
$3,486.4 $2,982.4 $2,925.0 
International519.7 478.6 401.3 
Total$4,006.1 $3,461.0 $3,326.3 
Operating profit:  
Domestic(2)
$428.3 $369.9 $300.6 
International81.4 57.7 53.3 
Total$509.7 $427.6 $353.9 
Income before income taxes:  
Domestic(2)
$409.6 $343.7 $274.2 
International84.3 52.5 50.5 
Total$493.9 $396.2 $324.7 
Long-lived assets(3):
  
Domestic(2)
$325.9 $284.4 $298.6 
International73.5 76.6 64.8 
Total$399.4 $361.0 $363.4 
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(1)Net sales are attributed to each country based on the selling location.
(2)Domestic amounts include amounts for U.S. based operations.
(3)Long-lived assets include net property, plant, and equipment, operating lease right-of-use assets, and other long-term assets as reflected in the Consolidated Balance Sheets.