Omnibus Incentive Plan - Restricted Stock Units Activity (Details) - Restricted Stock Units
$ / shares in Units, $ in Millions
9 Months Ended
May 29, 2021
USD ($)
$ / shares
shares
Units  
Non-vested at beginning of period (in shares) | shares 208,023
Granted (in shares) | shares 423,387
Vested (in shares) | shares (79,381)
Forfeited (in shares) | shares (48,735)
Non-vested at end of period (in shares) | shares 503,294
Weighted average grant-date fair value  
Non-vested at beginning of period (in dollars per share) | $ / shares $ 22.82
Granted (in dollars per share) | $ / shares 24.84
Vested (in dollars per share) | $ / shares 25.08
Forfeited (in dollars per share) | $ / shares 21.33
Non-vested at end of period (in dollars per share) | $ / shares $ 24.31
Additional disclosures  
Unrecognized compensation costs | $ $ 9.8
Period for recognition of unrecognized compensation cost 2 years 1 month 6 days