๐Ÿ“˜ Lesson 10 of 21 ยท Arithmetic (Beginner)

๐Ÿ’ฏ Percentages

A percentage expresses a number as a part of 100. It is one of the most commonly used tools in daily life, from discounts to exam scores.

Course progress: 48%

01 Key Concepts

Meaning of Percent

'Percent' means 'per hundred'. 25% means 25 out of every 100.

Converting Percent to Decimal

Divide by 100 (move the decimal point two places left).

Converting Decimal to Percent

Multiply by 100 (move the decimal point two places right).

Finding a Percentage of a Number

Multiply the number by the percentage written as a decimal.

Percentage Increase/Decrease

Find the difference, divide by the original value, then multiply by 100.

03 Key Formulas

04 Solved Examples

Example 1 Find 20% of 150.
  1. Convert 20% to a decimal: 0.20.
  2. Multiply: 0.20 x 150.
Answer: 30
Example 2 Convert 0.45 to a percentage.
  1. Multiply by 100: 0.45 x 100.
Answer: 45%
Example 3 A shirt's price rose from $40 to $50. Find the percentage increase.
  1. Change = 50 - 40 = 10.
  2. Divide by original: 10/40 = 0.25.
  3. Multiply by 100: 25%.
Answer: 25% increase

05 Practice Questions

1Find 50% of 80.
40
2Convert 3/4 to a percentage.
75%
3Convert 60% to a decimal.
0.6
4Find 15% of 200.
30
5A price dropped from $100 to $80. Find the percentage decrease.
20%

๐Ÿ“„ Percentages โ€” Downloadable Worksheet

10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.