Dear aspirant hope you are doing well. It's difficult to predict because cut keep changing every year depends on various factors.

1. No of seat available.

2. Difficulty level of exam.

3. No of student appear in exam.

As you scored in 66 in jee main 2022 . You rank will lie in between   84.56203931-91.59517945.  And your rank wil lie in between 169542-92303 .You can also check out the same using the link given below.

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

Top NITs cut off college wise and branch wise.

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

To know the list of engineering colleges  , you have chances to get admission, you can also use JEE MAINS college predictor tool. Link is given below..

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

Pervious years percentile to qualify the jee advance is given

• General : - 87.8992241 percentile
• EWS:- 66.2214845 percentile
• OBC-NCL :- 68.0234447 percentile
• SC :- 46.8825338 percentile
• ST:- 34.6728999 percentile
• PWD :- 0.0096375 percentile

you can use this cut off as a reference for jee advance 2022. you can also check the same using the link given below..

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

Hope it's helpful..

Thank you