**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 $\left\lfloor 1.234 \right\rfloor =1$