IOI Bids vs Final Bids - Fundamental Question

If there was a company for sale that a PE firm (and possibly other PE firms involved in the blind bidding process for said company for sale) felt was extremely valuable, how often does it happen when they will decide to bid higher than their original IOI bid after the DD process? I.E initial IOI range was 90mm-100mm, and they bid 110mm.

How often does this happen and what would you say is the average "premium" % that is given in these situations? Yes, obviously its highly dependent on the company/assets/situation/etc. but if you could average.

Very hypothetical, but curious and I hope this makes sense. I'm curious as to how much extra marginal capital a PE firm is willing to deploy to make sure they outbid and win a deal on average.

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