Percents & Percent Change

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

Front

How do you calculate percent increase?

Back

Percent increase is calculated using the formula: \( \text{Percent Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \)

Front

How do you calculate percent decrease?

Back

Percent decrease is calculated using the formula: \( \text{Percent Decrease} = \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \times 100 \)

Front

What is the formula to find the original price after a percent decrease?

Back

The formula is: \( \text{Original Price} = \frac{\text{Sale Price}}{1 - \frac{\text{Percent Decrease}}{100}} \)

Front

If a student scores 80 out of 100, what percentage did the student score?

Back

The percentage score is \( \frac{80}{100} \times 100 = 80\% \)

Front

What is the formula to calculate the final price after a discount?

Back

The final price after a discount is calculated as: \( \text{Final Price} = \text{Original Price} - \left( \text{Original Price} \times \frac{\text{Discount Percent}}{100} \right) \)

Front

What does a 25% discount mean?

Back

A 25% discount means that the price is reduced by 25 out of every 100 units of currency.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and multiply by 100.

Front

What is the percent change if the price of an item increases from $50 to $60?

Back

Percent change is \( \frac{60 - 50}{50} \times 100 = 20\% \) increase.

Front

If a product costs $200 and is on sale for $170, what is the percent discount?

Back

Percent discount is \( \frac{200 - 170}{200} \times 100 = 15\% \) discount.