Hello,
Based on your percentile in JEE mains, your rank would be more than 60,000 in the common rank list. With this rank if you are from general category, then you have almost no chances of getting any seat in NITs IIITs and GFTIs. If you are from ST/SC/OBC category, then you might get some seat in the newer NITs, IIITs and GFTIs in the last rounds of JOSAA counseling. But even your chances are slim.
To get a detailed idea about the probable colleges you might get according to your percentile score, please visit this link to use the Careers 360 college predictor for JEE mains. https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/jee-main-college-predictor&ved=2ahUKEwji1oO3k9bqAhX-yDgGHRIyBQoQtwIwAXoECAkQAQ&usg=AOvVaw1pTMu5LewXe0n3JPiA8V2U

Hope it helps

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