Hello.
Your percentile is above 90 but it does not means that your marks and rank will be good, you may have chances for having NIT at your mentioned percentile but the chances of having good branch are less so for the same I am providing you a link below where you can see previous year cut off list of JEE mains which can help you to predict your chances:
https://engineering.careers360.com/articles/jee-main-cutoff
At your mentioned percentile it is difficult to predict your actual rank but your approximate rank would  be 819,109 if we do not consider any category wise rank.
For predicting more colleges you can use our college predictor tool from the below link:

Best of luck.

Joint Entrance Examination (Main)

Answer Key | Eligibility | Application | Preparation Tips | Question Paper | Admit Card | Result | Accepting Colleges

Get Updates Brochure