Calculating Percents

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 5% means 5 out of 100.

Front

How do you convert a percent to a decimal?

Back

To convert a percent to a decimal, divide the percent by 100. For example, 5% as a decimal is 0.05 (5 ÷ 100).

Front

What is the formula to calculate the percent of a number?

Back

The formula to calculate the percent of a number is: (Percent / 100) × Total = Part. For example, to find 20% of 50, calculate (20 / 100) × 50 = 10.

Front

How do you calculate the sale price after a discount?

Back

To calculate the sale price after a discount, subtract the discount amount from the original price. For example, if an item costs $100 and has a 20% discount, the discount is $20, so the sale price is $100 - $20 = $80.

Front

What is simple interest?

Back

Simple interest is calculated on the principal amount only. The formula is: Interest = Principal × Rate × Time. For example, if you borrow $1,000 at a 5% interest rate for 3 years, the interest is $1,000 × 0.05 × 3 = $150.

Front

How do you calculate the total cost including tax?

Back

To calculate the total cost including tax, first find the tax amount by multiplying the original price by the tax rate, then add the tax amount to the original price. For example, if an item costs $50 and the tax rate is 8%, the tax is $4, so the total cost is $50 + $4 = $54.

Front

What is the formula for percent increase?

Back

The formula for percent increase is: ((New Value - Old Value) / Old Value) × 100. For example, if enrollment increases from 200 to 250, the percent increase is ((250 - 200) / 200) × 100 = 25%.

Front

How do you find the total amount after a tip is added?

Back

To find the total amount after a tip is added, calculate the tip amount based on the total before the tip, then add the tip to the original total. For example, if the bill is $40 and the tip is 15%, the tip is $6, so the total is $40 + $6 = $46.

Front

What is the relationship between fractions and percents?

Back

Fractions and percents are two ways to represent the same concept. A percent is a fraction with a denominator of 100. For example, 25% is equivalent to the fraction 25/100.

Front

How do you calculate the interest earned on an investment?

Back

To calculate the interest earned on an investment, use the formula: Interest = Principal × Rate × Time. For example, if you invest $2,000 at a 4% interest rate for 5 years, the interest earned is $2,000 × 0.04 × 5 = $400.