1. Express the Quantities
- Quantity A: $22 %$ of $x$ is $\(0.22 x\)$.
- Quantity B: $\(\frac{2}{9}\)$ of $x$ can be converted to a decimal. Dividing 2 by 9 gives:

$$
\(2 \div 9=0.2222 \ldots\)
$$


So, Quantity B is approximately $\(0.222 x\)$.
2. Compare the coefficients

If we compare the numbers 0.22 and $0.222 \ldots$, we see that:

$$
\(0.2222 \ldots>0.22\)
$$

3. Consider the value of $x$

In Quantitative Comparison questions, unless a variable is defined (e.g., "where $x>0$ "), we must consider all types of numbers (positive, negative, and zero).
- If $x$ is positive (e.g., $x=100$ ):
- Quantity A: $\(0.22(100)=22\)$
- Quantity B: $\(0.222 \ldots(100)=22.22\)$
- Result: Quantity B is greater.
- If $x$ is zero ( $x=0$ ):
- Quantity A: 0
- Quantity B: 0
- Result: The quantities are equal.
- If $x$ is negative (e.g., $x=-100$ ):
- Quantity A: - 22
- Quantity B: - 22.22
- Result: Quantity $A$ is greater (since -22 is to the right of -22.22 on the number line).

Conclusion
Because the relationship between Quantity A and Quantity B changes depending on whether $x$ is positive, negative, or zero, we cannot determine a single consistent relationship.

The relationship cannot be determined from the information given.