Hi there,
Hope you are doing well.
96.5169225 percentile converts to around 30,000 rank in CRL or around 7,300 rank in OBC-NCL Category.
With this rank, here are the probable colleges for you:-
1) NIT Jamshedpur, NIT Jalandhar, NIT Hamirpur:- Civil
2) VNIT Nagpur, MANIT Bhopal, MNIT Jaipur, NIT Calicut:- Chemical
3) NIT Silchar, NIT Hamirpur, NIT Andhra Pradesh:- ECE
4) NIT Patna:- EE
5) NIT Arunachal Pradesh:- CSE
6) NIT Puducherry:- Mechanical

Use our jee mains college predictor to see your chances for various NITs, IIITs and GFTIs:-
https://engineering.careers360.com/jee-main-college-predictor

Hope it would help.
Thank You.