How to Find Percentage of a Number

🎬 Video: How to Work Out Percentage of a Number

How to Find Percentage of a Number (Formula)? (0:01)

To find a percentage of any number, use this formula:

Base Value × Percentage Rate = Percentage Value

 

🔮 Example: What is 30% of 200?

  1. Write the calculation:
    200 × 30% = ?

  2. Convert the percentage to a decimal:
    30% = 30 ÷ 100 = 0.3

  3. Multiply:
    200 × 0.3 = 20 × 3 = 60

Answer: 30% of 200 is 60.

 

🔎 Exam Tip: To turn a percentage into a decimal, just divide by 100.
(For example: 30% = 30 ÷ 100 = 0.3. 75% = 75 ÷ 100 = 0.75)

 

Finding Percentages of Numbers (Examples) (0:43)

🔮 Example 1: Find 60% of 150 kg?

  • Write the calculation:
    150 kg × 60% = ?

  • Change 60% to a decimal:
    60% = 60 ÷ 100 = 0.6

  • Multiply:
    150 kg × 0.6 = 15 kg × 6 = 90 kg

Answer: 60% of 150 kg is 90 kg.

 

🔮 Example 2: Find 25% of 120 cm?

  • Write the calculation:
    120 cm × 25% = ?

  • Change 25% to a fraction:
    25% = 25 ÷ 100 = 1/4

  • Multiply:
    120 cm × 1/4 = 30 cm

Answer: 25% of 120 cm is 30 cm.

 

🔎 Exam Tip: You can turn the percentage into a decimal or a fraction. Just choose whichever makes your calculation easier.

 

How to Calculate Tips (Percentage Application) (1:45)

🔮 Example: The bill is $180. You want to leave a 20% tip.

Question: How much do you tip? And how much will you pay in total?

 

  • Step 1: Work out the tip amount.
    180 × 20% = 180 × 0.2 = $36
  • Step 2: Add the tip to the total bill.
    180 + 36 = $216

Final Answer: You should leave a \$36 tip, and the total amount you pay is \$216.

 

🔎 Exam Tip: Whenever you need to add or remove a percentage:

  1. First, multiply the original amount by the percentage to find the value.
  2. Add this value if it’s a tip or tax, or subtract it if it’s a discount.

Percentage Calculation Tricks (2:45)

🔮 Quick Tricks for Percentage Calculation:

  • To find 10% of any number, just move the decimal point one place to the left.
    Example: 10% of 1500 = 150

  • To find 1%, move the decimal point two places to the left.
    Example: 1% of 1500 = 15


Example: A laptop costs $1500. There’s a 12% discount. How much will you save?

  • Step 1: Find 1% of \$1500 = \$15
  • Step 2: 12% is 12 × 1%, so 12 × \$15 = \$180

Answer: You’ll save \$180.

 

🔎 Exam Tip: Break percentage questions into simple steps:

  1. First, find 1% or 10% of the number.
  2. Then, multiply by the percentage you need.

This trick is quick and reliable in exams!

📂 Flashcards: Percentage Calculation Formula & Trick

🍪 Quiz: Practice Calculating Percentage of a Number

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How to Find Percentage of a Number

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Q: What is 5% of 200?

2 / 6

Q: What is 20% of 160?

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Q: What is 75% of 160?

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Q: A table costs $180 and is on sale for 30% off. How much do you save?

5 / 6

Q: A laptop costs $1800. It’s discounted by 12%. How much do you save?

6 / 6

Q: A bike originally costs $1200. There's a 15% discount. What is the new price?

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