These are the cut offs for the respective IIMs.

IIM K:

IIM I:

IIM L:

Regarding NITIE, Mumbai, NITIE Mumbai hasn't updated its latest admission brochure yet. But based on 2015 data, available at: https://www.nitie.edu/MANDATORY%20DISCLOSURE%202015%20Full.pdf , for a Candidate belonging to NC-OBC, an overall percentile of 78 in CAT is the bare minimum along with a minimum aggregate of 60% in your B.E/B.Tech. Now there are PGDIM, PGDISEM and 3 other courses with NITIE. The average sectional cut offs look like this:

Now you have 94.49 percentile with more than required sectional cut offs against your Category. Your Academics are also on the brighter side and that should help you be shortlisted for NITIE, Mumbai. Sometimes, we are tough with ourselves forgetting what we have achieved in life. You have an impeccable academic track and the consistency has never backed off. There are 274 PGDIM seats and 39 PGDISEM seats. Candidates meeting the sectionwise cut off percentile criteria will be called in for Group Discussion and Personal Interview in the order of the ranks based on the ration decided for category wise availability of seats. While the official website doesn't mention the exact no.of seats available for each Category, in 2015-17, as many as 37 candidates  joined the PGDIM course from OBC. So considering this, the no.of seats available for NC-OBC will be more or less of the same number. So you will get shortlisted for NITIE Mumbai with your CAT percentile. For the final merit list, your CAT percentile, 10th 12th and Graduation marks along with your performance in GD and PI will be considered. But if we are just talking about being shortlisted for NITIE, you should certainly be given your CAT sectional and over all percentiles.

Going by your Academics, you may get a call from IIM K. Going by your credentials, it is more likely that you will get shortlisted for IIM K. If you have selected IIM K as one of your options and filled in the online registration form, you will get shortlisted for further rounds like WAT and PI. With scores far better than the required minimum aggregate, you should be shortlisted for IIM K. The shortlisting is based on Aggregate Index Score Computation. And it looks like this:

CAT 2019 score: 45% weightage

Class 10th % score: 30% weightage

Class 12% score: 15% weightage

Gender/Academic Diversity score: 10% weightage

The details of each component can be checked at their official page: https://www.iimk.ac.in/academics/pgp/IIMKPGPAdmissionsPolicy2020.pdf Only female candidates are considered for Gender Diversity. So that is one place where you might lose out on points. But the rest, with your academic marks, you should be shortlisted. IIM K will release the list of the shortlisted candidates tentaively by the last week of January 2020. So please keep an eye on the official website for more information.

IIM L has shortlisted approximately 792 Candidates under SC Category. The shortlisting is done on the following basis:

Scaled CAT score: 60% weightage

12th marks: 10% weightage

Graduation: 10% weightage

Work experience: 10% weightage

Diversity Factor: Academic: 5% weightage

Diversity Factor: Gender: 5% weightage

Going by this, you have decent chances with IIM L as well.

IIM Indore has shortlisted almost 6000 Candidates for its 600 intake. And IIM Indore only allots 20% weightage to its  CAT score. So that might be a little tricky.