Questions: What is the percent of increase from 30 to 42 ? Write your answer using a percent sign (%).

What is the percent of increase from 30 to 42 ? Write your answer using a percent sign (%).
Transcript text: What is the percent of increase from 30 to 42 ? Write your answer using a percent sign (%).
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Solution

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Solution Steps

To find the percent increase from 30 to 42, we first calculate the difference between the two numbers. Then, we divide this difference by the original number (30) and multiply the result by 100 to convert it to a percentage.

Step 1: Calculate the Difference

To find the percent increase, we first calculate the difference between the new value and the original value. The difference is given by: \[ \text{difference} = \text{new value} - \text{original value} = 42 - 30 = 12 \]

Step 2: Calculate the Percent Increase

Next, we calculate the percent increase by dividing the difference by the original value and then multiplying by 100 to convert it to a percentage: \[ \text{percent increase} = \left(\frac{\text{difference}}{\text{original value}}\right) \times 100 = \left(\frac{12}{30}\right) \times 100 = 40\% \]

Final Answer

The percent increase from 30 to 42 is \(\boxed{40\%}\).

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