What is the percent of increase from 75 to 110?

Question

Responses

68.2%
68.2%

46.7%
46.7%

31.8%
31.8%

18.9%
18.9%

Answer 1

To calculate the percent increase from 75 to 110, we can use the formula:

\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100 \]

Plugging in the values:

\[ \text{Percent Increase} = \left( \frac{110 - 75}{75} \right) \times 100 \]

Calculating the difference:

\[ 110 - 75 = 35 \]

Now substituting back into the formula:

\[ \text{Percent Increase} = \left( \frac{35}{75} \right) \times 100 \]

Calculating the division:

\[ \frac{35}{75} = 0.4667 \]

Now, multiplying by 100 to get the percentage:

\[ 0.4667 \times 100 = 46.67% \]

Rounded to one decimal place, the percent increase from 75 to 110 is approximately 46.7%.

So the correct response is:

46.7%