The absolute best thing that you can do is not concern yourself with keyword density and instead write for humans.
The best keyword density is the most natural sounding. If you're trying to rank for the keyword "red shoes" then if you had sentences all over your site like, "If you are looking for red shoes and not blue shoes but red shoes then you've come to the right place. We're the best place for red shoes that you can find. So to find red shoes just click on the navigation menu."
The keyword density there would be way too high. Repeating your keywords in an unnatural way is too much.
Keyword density is important to your ranking ... it's important to make it natural.
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