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Revenue Recognition - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 30, 2020
May 25, 2019
May 30, 2020
May 25, 2019
Aug. 31, 2019
Revenue From Contract With Customer [Abstract]          
Percentage of revenues derived from route servicing fees 85.70% 91.00% 89.20% 91.00%  
Current assets related to deferred commissions $ 13.1   $ 13.1   $ 12.4
Noncurrent assets related to deferred commissions 54.9   54.9   $ 50.3
Amortization expense related to deferred commissions $ 3.4 $ 3.0 $ 10.2 $ 8.7