Percents

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, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What is the formula to find the total when given a part and its percentage?

Back

The formula is: Total = Part / (Percentage in decimal form). For example, if 30 is 60% of a total, then Total = 30 / 0.60 = 50.

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 then multiply by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.50 = 1/2.

Front

How do you find the discount price of an item?

Back

To find the discount price, multiply the original price by the discount percentage (in decimal form) and subtract that amount from the original price. For example, for a $100 item with a 20% discount: Discount = 100 * 0.20 = $20; Sale Price = 100 - 20 = $80.

Front

What is the formula to find the percentage increase or decrease?

Back

Percentage Increase = ((New Value - Original Value) / Original Value) * 100. Percentage Decrease = ((Original Value - New Value) / Original Value) * 100.

Front

How do you find what percent one number is of another?

Back

To find what percent one number (A) is of another number (B), use the formula: (A / B) * 100. For example, to find what percent 20 is of 50: (20 / 50) * 100 = 40%.

Front

What is the meaning of 'of' in percentage problems?

Back

In percentage problems, 'of' typically means to multiply. For example, '75% of 200' means 0.75 * 200.

Front

How do you calculate the total number of items when given a percentage and the number of items?

Back

To calculate the total number of items, use the formula: Total = Number of Items / (Percentage in decimal form). For example, if 15 is 50% of the total, then Total = 15 / 0.50 = 30.