Dear Aspirant, your percentile could be in the range of 92-96. At this percentile, your AIR would be in the range of 34000-70000. So according to previous year cutoffs, you can definitely get into lower rank NITS like Rourkela, Hazaratbal, Mizoram, Sikkim, Agartala, Patna,  Durgapur,  Nagaland, etc and IIITS like Kurnool, Nagpur, Dharwad, Bhagalpur, Manipur. For branch specific cutoffs and a complete list of NITS and IIITS, you can check here:-

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

*Disclaimer:-This is according to previous year trends and cutoffs. For accurate results, you will have to wait for NTA to declare results and AIR.