"Wet with sweat" is a common term used to describe a person who is sweating profusely. However, there are several other synonyms that can be used to describe this condition. One alternative phrase is "drenched in sweat," which emphasizes the amount of moisture produced. A person can also be described as "soaked with perspiration," emphasizing the liquid aspect of the sweat. Another phrase that can be used is "sweat-laden," which implies the weight and burden of perspiration. Regardless of the chosen phrase, it is important to remember the importance of staying hydrated when sweating excessively.