If you clear the sectional cut off then you might recive a very few calls from the new IIMs however, chances are very less. But With 85+ Percentile the list goes quite narrow of decent bschools but you can go for the following:

1. BIMTECH, Greater Noida

2. BITS, Pilani

3. Christ University, Bangalore

4. Great Lakes, Gurgaon

5. IBS-H

6. FORE

7. LOYOLA

8. IRMA

9. NIT Rourkela

For more info, use this link https://bschool.careers360.com/articles/what-if-my-cat-percentile-between-80-and-90-do-i-have-any-chance-at-top-b-schools