How to Find Percentage of a Number
Table Of Contents
🎬 Math Angel Video: How to Work Out Percentage of a Number
How to Find Percentage of a Number (Formula)?
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🛎️ The Formula to Find a Percentage of Any Number:
$$
\text{Base Value} \times \text{Percentage Rate} = \text{Percentage Value}
$$
🛎️ Example: What is 30% of 200?
Write the calculation:
200 × 30% = ?Convert the percentage to a decimal:
30% = 30 ÷ 100 = 0.3Multiply:
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)
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🛎️ Example 1: Find 60% of 150 kg?
Write the calculation:
150 kg × 60% = ?Change 60% to a decimal:
60% = 60 ÷ 100 = 0.6Multiply:
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 = 1/4Multiply:
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)
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🛎️ 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:
- First, multiply the original amount by the percentage to find the value.
- Add this value if it’s a tip or tax, or subtract it if it’s a discount.
Percentage Calculation Tricks
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🛎️ 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 = 150To 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:
- First, find 1% or 10% of the number.
- Then, multiply by the percentage you need.
This trick is quick and reliable in exams!
🍪 Quiz: Practice Calculating Percentage of a Number
🎩 Stuck on Percentage Problems? Ask AI Solver
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