Can men go out in public wearing perfume or is it forbidden like women? Could you explain this clearly please? May Allah reward your good deeds.

Praise be to Allah, the Lord of the World; and blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
It is lawful for men to wear perfume when going out to public places unlike women who should not wear perfume when going out.
The Prophet used to like perfume. He used to wear it when going out. People would even know that he passed somewhere by smelling his perfume in that place. So, it is lawful for the man to wear perfume anytime and anywhere except when he is in the state of Ihram during Hajj or Umrah.
Shariah differentiated between the man and the woman in this rule because originally the man is supposed to go out and the woman is supposed to stay in her home.
Allah knows best.