With an NTA score of 80.82, your percentile is approximately around 95-96, but the exact percentile can vary slightly depending on the exam's overall performance. Based on this score, getting into top NITs or IIITs may be challenging, especially for competitive branches like CSE or ECE. However, you may have a chance in other branches or in newer NITs/IIITs. It's advisable to check the previous year's cutoff trends for accurate predictions based on your specific score.

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https://engineering.careers360.com/articles/jee-main-marks-vs-percentile