If A is equal to 20% of B and B is
equal to 25% of C; then what per
cent of C is equal to A?

Given the relationships:

- \( A = 20\% \) of \( B \)
- \( B = 25\% \) of \( C \)

We need to find what percentage of \( C \) is equal to \( A \).

### Step 1: Express \( A \) in terms of \( B \)
\[ A = \frac{20}{100} \times B \]
\[ A = 0.2B \]

### Step 2: Express \( B \) in terms of \( C \)
\[ B = \frac{25}{100} \times C \]
\[ B = 0.25C \]

### Step 3: Substitute the expression for \( B \) into the equation for \( A \)
\[ A = 0.2 \times (0.25C) \]
\[ A = 0.05C \]

### Step 4: Convert the expression of \( A \) in terms of \( C \) into a percentage
\[ A = 5\% \text{ of } C \]

Therefore, \( A \) is equal to **5%** of \( C \).

Would you like any more details or have any questions?

Here are five related questions you might find interesting:
1. If \( B \) is 30% of \( C \), what percentage of \( C \) is \( A \) if \( A \) is 50% of \( B \)?
2. How would the percentage change if \( A \) was 50% of \( B \) and \( B \) was 10% of \( C \)?
3. If \( C \) is 500 and \( A \) is 25, what percentage of \( C \) is \( A \)?
4. What if \( B \) is double the percentage of \( C \) compared to the original problem, how does that affect \( A \)?
5. How would the result change if \( A \) was a fraction of \( B \) instead of a percentage?

**Tip:** When working with percentages, it's often easier to convert them to decimal form to simplify calculations.

Learn how to calculate what percentage of C is equal to A when A is 20% of B and B is 25% of C. Detailed step-by-step solution with percentage calculations. Suitable for high school students learning about percentages and proportions.

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