Understanding Percents

Learn the fundamentals of percentage calculations with examples and an interactive quiz

What is a Percent?

A percent is a way of expressing a number as a part of 100. The symbol for percent is %.
For example: 25% means 25 out of 100, or 25 รท 100 = 0.25
25%

Quick Conversion Tip

To drop the percent sign, move the decimal 2 digits to the left.

45% โ†’ 0.45
(Move decimal 2 places left)
8% โ†’ 0.08
(Add zero as placeholder)
150% โ†’ 1.50
(More than 100% = greater than 1)

Common Percents to Remember

25%
25%
1/4 = 0.25
50%
50%
1/2 = 0.5
75%
75%
3/4 = 0.75
100%
100%
1 (a whole)

๐Ÿ“Š Percentage Quiz Challenge

Test your skills with these practice problems!

๐Ÿ“ How to Solve Percentage Problems

Before you start the quiz, let's learn how to calculate percentages! Here are three easy methods:

Method 1: Convert to Decimal

Example: What is 15% of 30?

  1. Convert the percentage to a decimal: \( 15\% = 0.15 \)
  2. Multiply by the number: \( 0.15 \times 30 = 4.5 \)
  3. Answer: \( 4.5 \)

Method 2: Use Fractions

Example: What is 25% of 80?

  1. Convert percentage to fraction: \( 25\% = \frac{25}{100} \)
  2. Multiply: \( \frac{25}{100} \times 80 = \frac{25 \times 80}{100} = \frac{2000}{100} = 20 \)
  3. Answer: \( 20 \)

Method 3: Mental Math Shortcuts

  • 10%: Move decimal point one place left (10% of 50 = 5)
  • 20%: Find 10% and double it (20% of 50 = 10)
  • 25%: Divide by 4 (25% of 80 = 20)
  • 50%: Divide by 2 (50% of 60 = 30)

๐Ÿ’ก Remember the Formula:

\( \text{Percentage of a number} = \frac{\text{Percentage}}{100} \times \text{Number} \)

Question 1
What is 15% of 30?
Question 2
What is 25% of 80?
Question 3
What is 40% of 150?
Question 4
What is 75% of 60?
Question 5
What is 20% of 250?