Hey,
The exact prediction about the colleges is difficult as the cutoff changes every year depending upon the difficulty level of the question paper,the number of candidates appearing in the examination,category of the candidates etcetra.
Going by the formula 100-97*869010/100 where in 97 is the percentile score and 869010 is the total number of candidates appearing in JEE Mains, your approximate rank would be around 26,070 which is a good rank and you can easily expect good NITs.
To check your chances in colleges, use our College Predictor:

Hope this helps.
Good luck.

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