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The image asks to "Explain whether \( p\% \) of \( q \) or \( q\% \) of \( p \) is greater in value."

Let's analyze it step by step:

- \( p\% \) of \( q \) means \( \frac{p}{100} \times q \).
- \( q\% \) of \( p \) means \( \frac{q}{100} \times p \).

Now, simplify both expressions:

1. \( p\% \) of \( q \): 
   \[
   \frac{p}{100} \times q = \frac{pq}{100}
   \]

2. \( q\% \) of \( p \): 
   \[
   \frac{q}{100} \times p = \frac{pq}{100}
   \]

Both expressions yield the same result: \( \frac{pq}{100} \). Therefore, **both values are equal**.

Would you like more details or have any questions? Here are five related questions that may help deepen your understanding:

1. How can the percentage formula be applied in different contexts?
2. What happens if \( p \) and \( q \) are negative numbers?
3. How does the percentage formula change if you are asked for \( p\% \) of \( q\% \)?
4. Can you think of real-world examples where calculating percentages of two numbers matters?
5. What is the meaning of \( p\% \) of a number geometrically?

**Tip:** Percentages are essentially fractions of 100, and swapping the numbers in a percentage calculation doesn’t change the outcome!

Explain whether p% of q or q% of p is greater in value.

Explore whether p% of q or q% of p is greater in value with this simple percentage comparison. This problem applies the commutative property of multiplication and demonstrates how swapping numbers in a percentage equation yields the same result.

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