Find what percent one number is of another
key notes :
🔢 Definition of Percent
- Percent (%) means “per hundred”.
- Example: 25% = 25 out of 100.
➗ Formula to Find Percent
- To find what percent A is of B:
Percent=Part (A) / Whole (B) × 100
- Emoji version:
Percent (%) = (🟢 Part ÷ 🔵 Whole) × 💯
📌 Step-by-Step Method
- Identify the part (the smaller number) and the whole (the larger number).
- Divide the part by the whole.
- Multiply the result by 100.
- Add the % symbol.
💡 Example 1
- Question: What percent of 50 is 10?
- Step 1: Part = 10, Whole = 50
- Step 2: 10÷50=0.2
- Step 3: 0.2×100=20% ✅
💡 Example 2
- Question: What percent of 80 is 32?
- Step 1: Part = 32, Whole = 80
- Step 2: 32 ÷ 80 = 0.4
- Step 3: 0.4 × 100 = 40% ✅
⚡ Quick Tips
- If the part is bigger than the whole, the percent will be more than 100%.
- Always multiply by 100 to convert the decimal into percent.
- Check your answer: Percent should make sense (≤100% if part ≤ whole).
🎨 Visual Idea
- Draw a circle or bar chart to represent the whole and the part — helps students see the fraction as a percent.
Learn with an example
₹3 is what percent of ₹4?
Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
—————————–.
The part is 3.
The whole is 4.
Let n represent the percent.
Write a proportion to solve for n.
3/4=n/100
3.100=4n
300=4n
n=300/4
n=75
₹3 is 75% of ₹4.
You could also find the answer by writing and solving an equation:
part=whole of percentage.
3=n/100.4
3=4n/100
3.100=4n
300=4n
n=300/4
n=75
₹3 is 75% of ₹4.
Complete the following statement. Write your answer as a decimal or whole number.——-% of ₹24 = ₹12
The part is 12.
The whole is 24.
Let n represent the percent.
Write a proportion to solve for n.
12/24=n/100
12.100=24n
1200=24n
n=1200/24
n=50
50% of ₹24 is ₹12.
You could also find the answer by writing and solving an equation:
part=whole of percentage.
12=n/100.24
12=24n/100
12.100=24n
1200=24n
n=1200/24
n=50
50% of ₹24 is ₹12.
5 is what percent of 100?
Write your answer using a percent sign (%).——–
The part is 5.
The whole is 100.
Let n represent the percent.
Write a proportion to solve for n.
5/100=n/100
5.100=100n
500=100n
n=500/100
n=5
5 is 5% of 100.
You could also find the answer by writing and solving an equation:
part=whole of percentage.
5=n/100.100
5=100n/100
5.100=100n
500=100n
n=500/100
n=5
5 is 5% of 100.
let’s practice!

