AS per this year methodology, 96.5 percentile would fetch you a general rank of around 31k, so below Iam attaching a link in which there are previous years cut off all IIITs, do check and get know which college you will get. I think you can get IIIT Kota, Pune, Sonepat, Guwahati.

https://collegedunia.com/news/e-301-jee-main-cut-off-for-iiits

Hey Dhruv,

You can get good IIIT by this rank like,

• IIIT Andra pradesh
• IIIT Madhya Pradesh
• IIIT Tiruchirappalli
• IIIT Gujrat

And you can also go through this site where you can get good info regarding more colleges 

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits