Google has not released any information regarding acceptable keyword density. But, the accepted theory is that your maximum keyword density is 5%. That means if you have 200 words on your landing page, no more than 10 of them should be the keyword. Five percent is a high density and it's difficult to exceed that mark.
I generally look for a keyword density anywhere between 2% and 5%. That range is assumed to be good for Google SEO and Google Adwords.
I tend to make sure my keyword appears...
If I've done all four of the those, I find that I can have naturally written content without concern for keyword density and still get good quality scores.
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Disclaimer The opinions expressed herein are my own personal opinions and do not represent my employer's view in any way.