to estimate officially the value of (property, income, etc.) as a basis for taxation.

to fix or determine the amount of (damages, a tax, a fine, etc.)

The hurricane damage was assessed at six million dollars.

to impose a tax or other charge on.

to estimate or judge the value, character, etc., of; evaluate

to assess one's efforts.

verb

appraise , apprise , assay , check * , check out * , compute , determine , dig it , estimate , figure * , fix , gauge , guess , judge , nick * , peg * , rate , reckon , set , size * , size up , survey , take measure , valuate , value , weigh , amount charge , demand , evaluate , exact , impose , levy , tax , put , calculate , account