+

# Percentages

(0)
##### Description:

Percentages (%)

When you say "Percent" you are really saying "per 100"

(more)

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

No credit card required

28 Sophia partners guarantee credit transfer.

263 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

## Percentages (%)

When you say "Percent" you are really saying "per 100"

 So 50% means 50 per 100 (50% of this box is green) And 25% means 25 per 100 (25% of this box is green)

Examples:

 100% means all. Example: 100% of 80 is 100/100 × 80 = 80 50% means half. Example: 50% of 80 is 50/100 × 80 = 40 5% means 5/100ths. Example: 5% of 80 is 5/100 × 80 = 4

A Percent can also be expressed as a Decimal or a Fraction

 A Half can be written... As a percentage: 50% As a decimal: 0.5 As a fraction: 1/2

Some Worked Examples

Example: Calculate 25% of 80

25% = 25/100

(25/100) × 80 = 20

So 25% of 80 is 20

Example: 15% of 200 apples were bad. How many apples were bad?

15% = 15/100

(15/100) × 200 = 15 × 2 = 30 apples

Example: if only 10 of the 200 apples were bad, what percent is that?

As a fraction, 10/200 = 0.05

As a percentage it is: (10/200) x 100 = 5%

5% of those apples were bad

Example: A Skateboard is reduced 25% in price in a sale. The old price was \$120. Find the new price

First, find 25% of \$120:

25% = 25/100

(25/100) × \$120 = \$30

25% of \$120 is \$30

So the reduction is \$30

Take the reduction from the original price

\$120 - \$30 = \$90

The Price of the Skateboard in the sale is \$90