The following information shared by you shows that you have got 91.47 percentile in Jee mains and OBC rank is 27,000.

With this rank you maynot be able to secure good branches in any NITs/IIITs in JoSAA counselling. (This cannot be predicted accurately since the counselling has not yet started)

However in special rounds you may be able to get some lower grade in IIITs like in Una,Raichur,Bhagalpur and Manipur Or some NITs like Hamirpur,Patna, Uttarakhand etc.

It is advised that You should also fillup some applications in private colleges and should also take part in state level counselling which accept JEE main scores .

you can follow this link below to predict about some other NIT/IIITs that you might be able to secure with the rank achieved

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

For previous years cutoff trends in various NIT/IIITs use the links below

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

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

Hope this helps you

Good Luck!