Omnibus Incentive Plan - Stock Appreciation Rights (Activity) (Details) - USD ($)
$ / shares in Units, $ in Millions
9 Months Ended
May 29, 2021
Additional disclosures  
Award vesting period 3 years
Award expiration period 10 years
Stock Appreciation Rights (SARs)  
Shares  
Outstanding at beginning of period (in shares) 150,000
Granted (in shares) 0
Exercised (in shares) 0
Forfeited (in shares) 0
Outstanding at end of period (in shares) 150,000
Options vested or expected to vest (in shares) 150,000
Exercisable (in shares) 0
Weighted average exercise price  
Outstanding at beginning of period (in dollars per share) $ 24.20
Granted (in dollars per share) 0
Exercised (in dollars per share) 0
Forfeited (in dollars per share) 0
Outstanding at end of period (in dollars per share) 24.20
Options vested or expected to vest (in dollars per share) 24.20
Exercisable (in dollars per share) $ 0
Weighted average remaining contractual term  
Vested and expected to vest at end of period, weighted average remaining contractual life 8 years 5 months 4 days
Outstanding at end of period, weighted average remaining contractual life 8 years 5 months 4 days
Exercisable at end of period, weighted average remaining contractual life 0 years
Additional disclosures  
Unrecognized compensation costs $ 0.2
Period for recognition of unrecognized compensation cost 1 year 4 months 24 days