Pre-Algebra Foundations
Lesson 4 of 4 8 min +45 XP

Percentages

Parts per hundred, everywhere.

What you'll learn

  • Read a percent as a fraction of 100
  • Convert between percents, fractions, and decimals
  • Find a percent of a number
The 25%-off jacket

A $40 jacket has a '25% off' tag. Twenty-five percent means 25 out of every 100, so you knock off a quarter — $10 — and pay $30. Percentages are just a way of saying 'parts per hundred' that shops, tips, and test scores all use.

Percent means 'per hundred'

A percent expresses a number as a part of 100. So 25% means 25 out of 100, which equals the fraction 25/100 = 1/4 and the decimal 0.25. To find a percent of a number, convert to a decimal and multiply.

Percent of a number

'20% of 80' becomes 0.20 × 80 = 16. Turning the percent into a decimal first makes the arithmetic simple.

A $50 shirt at 30% off: the discount is 0.30 × 50 = $15, so it costs $35.
Lab · Find the percent
  1. You scored 18 out of 24 on a quiz.
  2. Write the score as a fraction, then divide.
  3. Multiply by 100 to get the percent.

What you should see: 18/24 = 0.75, and 0.75 × 100 = 75%.

Knowledge Check

+12 XP / correct

1. What is 20% of 80?

2. The decimal 0.25 is the same as…