Percents and Percent Proportions

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 a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, 25% of 80 is calculated as 80 * 0.25 = 20.

Front

What is the formula for calculating the original price after a markup?

Back

Original Price = Selling Price / (1 + Markup Rate). For example, if a laptop sells for $1200 after a 20% markup, the original price is $1200 / 1.20 = $1000.

Front

How do you find the new price after a discount?

Back

New Price = Original Price - (Original Price * Discount Rate). For example, if a product costs $200 and is discounted by 20%, the new price is $200 - ($200 * 0.20) = $160.

Front

What is the relationship between percent and fractions?

Back

Percents can be converted to fractions by placing the percent over 100 and simplifying. For example, 25% = 25/100 = 1/4.

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. For example, 1/4 = 0.25 * 100 = 25%.

Front

What is 15% of 150?

Back

15% of 150 is calculated as 150 * 0.15 = 22.5.

Front

What is the formula for calculating percent increase?

Back

Percent Increase = [(New Value - Original Value) / Original Value] * 100.

Front

What is the formula for calculating percent decrease?

Back

Percent Decrease = [(Original Value - New Value) / Original Value] * 100.

Front

If a student scored 80% on a test with 50 questions, how many questions did they answer correctly?

Back

To find the number of correct answers, multiply the total questions by the percentage: 50 * 0.80 = 40.