What amount of zakat we need to pay on clothes that have been gifted to us?
If someone gifts us clothes worth X, then how much zakat we need to pay on it?
Nothing as clothes are not among the goods we need to pay Zakat for! This is as you say gifted clothes, if you were dealing with clothes than you would need to pay Zakat on your wins, but only once you reached the nisab and a lunar year (hawl) past since that.
One could say anything you use in your daily use like clothes is not among the assets for which we need to pay Zakat! Some say it is based on this hadith
However i found this fatwa(in Arabic) saying one can do it by estimating the value of this cloths. But I'd like to add that beside the obligatory Zakat you are free to perform sadaqah and I'd add this fatwa to that, as it seems strange.
However on the other hand I've read that is permissible to give Clothes instead of money for Zakat, which is also a statement of the given fatwa.
Also read this fatwa on how to pay Zakat.