What per cent is 3% of 15% ?

Options

A. 0.15
B. `20%`
C. `40%`
D. 0.6666

Answer

To solve the question "What per cent is 3% of 15%?", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find out what percentage (let's call it \( x \% \)) of 15% equals 3%.

2. **Set Up the Equation**: According to the problem, we can express this relationship mathematically:
\[ x\% \text{ of } 15\% = 3\% \]
This can be rewritten as:
\[ \frac{x}{100} \times 15 = 3 \]

3. **Convert Percentages to Decimals**: To simplify the equation, we can convert the percentages into decimals:
\[ \frac{x}{100} \times \frac{15}{100} = \frac{3}{100} \]

4. **Multiply Both Sides**: Now, we can multiply both sides by 100 to eliminate the fraction:
\[ x \times 15 = 3 \]

5. **Solve for \( x \)**: Now, divide both sides by 15 to isolate \( x \):
\[ x = \frac{3}{15} \]

6. **Simplify the Fraction**: Simplifying \( \frac{3}{15} \):
\[ x = \frac{1}{5} \]

7. **Convert to Percentage**: To convert \( \frac{1}{5} \) into a percentage, multiply by 100:
\[ x = \frac{1}{5} \times 100 = 20\% \]

8. **Final Answer**: Thus, 3% of 15% is 20%.

### Final Answer:
**20%**

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