A 2800​-square-foot home is for sale. The finished basement has an area of 415 square feet. The basement accounts for what percent of the total square​ footage?

Question

Question content area bottom
The basement has an area of
  
enter your response here​% of the total square footage.

Answer 1

To determine what percent the basement's area accounts for in relation to the total square footage of the home, you can use the following steps:

1. **Identify the total square footage of the home**: 2800 square feet.
2. **Determine the area of the basement**: 415 square feet.
3. **Calculate the percentage**: Divide the area of the basement by the total square footage of the home and then multiply by 100 to convert it to a percentage.

Let's calculate it:

\[ \text{Percentage} = \left( \frac{\text{Basement Area}}{\text{Total Square Footage}} \right) \times 100 \]

Substitute the values:

\[ \text{Percentage} = \left( \frac{415}{2800} \right) \times 100 \]

First, perform the division:

\[ \frac{415}{2800} = 0.1482142857142857 \]

Then, convert this to a percentage by multiplying by 100:

\[ 0.1482142857142857 \times 100 \approx 14.82 \]

The basement accounts for approximately **14.82%** of the total square footage of the home.