What percent is `3%` of `15%` ?

Options

A. `15%`
B. `20%`
C. `40%`
D. `66.66%`

Answer

To find out what percent is `3%` of `15%`, we can follow these steps:

### Step 1: Convert percentages to decimals
First, we need to convert both percentages into decimal form.
- `3%` can be converted to decimal by dividing by `100`:
\[ 3\% = \frac{3}{100} = 0.03 \]
- `15%` can also be converted similarly:
\[ 15\% = \frac{15}{100} = 0.15 \]

### Step 2: Calculate `3%` of `15%`
Next, we calculate `3%` of `15%`:
\[ 3\% \text{ of } 15\% = 0.03 \times 0.15 \]
Now, perform the multiplication:
\[ 0.03 \times 0.15 = 0.0045 \]

### Step 3: Convert the result back to a percentage
To convert `0.0045` back to a percentage, we multiply by `100`:
\[ 0.0045 \times 100 = 0.45\% \]

### Step 4: Find out what percent `0.45%` is of `15%`
Now, we need to find out what percent `0.45%` is of `15%`. We can set up the equation:
\[ \text{Percentage} = \left( \frac{0.45\%}{15\%} \right) \times 100 \]
Substituting the values:
\[ \text{Percentage} = \left( \frac{0.45}{15} \right) \times 100 \]
Calculating the fraction:
\[ \frac{0.45}{15} = 0.03 \]
Now, multiply by `100`:
\[ 0.03 \times 100 = 3\% \]

### Conclusion
Thus, `3%` of `15%` is `3%`.