Artificial intelligent assistant

If a "rating" is based off of the last 100 yes/no answers, looking to see how my rating would be affected based on a number of factors outlined below. My rating is based off of the previous 100 ratings, which consists simply of of "Yes" or "No". It is calculated as such so that when you receive the 101th rating, the 1st rating falls off, 102nd rating the 2nd falls off, and so on. I am currently at a 65%, so that would mean 65 yes and 35 no. The order in which the 65 yes's and 35 no's is unknown. Over the course of the next 27 ratings, I provide 25 yes's and 2 no's in any order you wish ( _1 no, 23 yes, 1 no, 2 yes_ is okay. _24 yes, 2 no, 1 yes_ is okay, and so on). However my rating after these 27 answers has just moved up to 67%. **How many more times can continue to answer "yes" while keeping the rating at 67%? Meaning - at what point must the rating go up to 68% if every answer from this point is "yes".**

You can add the most "yes" votes without without changing your rating if all the "yes" votes are at the front. Since there we only two "no" votes in the last $27$ and the rating only went up $2$, there must have been $27$ "yes" votes dropped from the front. If all $65$ "yes" votes were at the front to start with, there are $38$ left, and there cannot be more. So, you can vote "yes" at most $38$ times before your rating increases.

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