Digital Sum part 2

The digital root of a number is obtained by adding together the digits of that number, and repeating that process until a number is arrived at that is less than $$10$$.

For example,for $$29953$$ the digital root is $$29953 \rightarrow 28\rightarrow 10\rightarrow 1$$.

Consider the set $$P$$ of all prime numbers less than two million.If $$x$$ is the percentage of numbers in $$P$$ with a digital root of 2,what is the value of $$\left\lfloor 1000x \right\rfloor$$ ?

Details and assumptions

$$\left\lfloor x \right\rfloor$$ is the floor function and it returns the greatest integer less or equal to $$x$$. ie $$\left\lfloor 1.234 \right\rfloor =1$$

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