All societies have dress codes and the requirements of what to cover and what not to differ greatly across the world and are based on Public Decency laws.
Now who decides what women or men should cover? and how much they must cover? Well these rules fall under public decency laws. For ex, in some ancient African tribal culture it's completely normal for women to show breasts and walk around in public, and that is based on their ancient tribal codes. Women walking around showing breasts in Canada or the US is considered "indecent" and are usually picked up by the police and sent to prison.
we call it a ''feminist revolt''. Because Public decency laws in the west criminalizes revealing breasts or private parts/genitals in public.
In Canada and the US, decency laws require men and women to cover their private parts. Now what are those laws based on? the Bible? Secularism? or What? Well! At the end of the day, they're all rulings derived from laws, regardless of what they're based on, they all tend to provide a guideline so as to meantime public order and peace.
Similarly, Islamic law also has a section on Public decency laws. The Quran requires both women AND men to cover. But requirements differ due to inherent physical and psychological differences in men and women. Men are required to cover "navel to knees" and women from "head to ankles", with face, hands and feet are allowed to be exposed in public. Islamic law derives rulings from the Quranic verses, such as this that commands women to cover:
The surah 24:30-31 say:[6]
“ And say to the believing women that they cast down their looks and guard their private parts and do not display their ornaments except what appears thereof, and let them wear their head-coverings over their bosoms, and not display their ornaments except to their husbands or their fathers, or the fathers of their husbands, or their sons, or the sons of their husbands, or their brothers, or their brothers' sons, or their sisters' sons, or their women, or those whom their right hands possess, or the male servants not having need (of women), or the children who have not attained knowledge of what is hidden of women; and let them not strike their feet so that what they hide of their ornaments may be known; [...] (Qur'an 24:31)
Hope this helps