Compare percents of numbers
key notes :
🔢 Percent Basics
- Percent (%) means “per 100”.
- Example: 25% = 25 out of 100.
⚖️ Converting Percent to Fraction or Decimal
- Fraction: 40% = 40/100 = 2/5 ✅
- Decimal: 40% = 0.40 ✅
📏 Finding Percent of a Number
- Formula:
Percent of a number = Percent / 100 × Number
- Example: 20% of 50 → 20/100 × 50 = 10
📊 Comparing Percents of Different Numbers
Always calculate the actual values before comparing.
Example: Which is bigger? 30% of 200 or 40% of 150?
- 30% of 200 = 60
- 40% of 150 = 60
✅ Both are equal
🔄 Shortcut: Cross-Multiplication
Compare fractions or percents without calculating exact values.
Example: Compare 25% of 80 and 20% of 100:
- 25 × 80 = 2000
- 20 × 100 = 2000 ✅ Equal
📌 Tips for Easy Comparison
- Always convert percents to the same base if possible.
- Remember: Higher percent doesn’t always mean bigger value! ⚠️
🎨 Visual Representation
- Use pie charts or bar graphs to quickly see which percent of a number is bigger. 📊
🧠 Practice Makes Perfect
Try real-life examples:
- Discounts 🛍️
- Exam marks 📝
- Population statistics 🌍
Learn with an example
Which is greater?
- 30% of 920
- 60% of 520
- neither; they are equal
30% of 920 = 0.3 × 920 = 276
60% of 520 = 0.6 × 520 = 312
60% of 520 is greater than 30% of 920.
Which is less?
- 20% of 410
- 10% of 680
- neither; they are equal
20% of 410 = 0.2 × 410 = 82
10% of 680 = 0.1 × 680 = 68
10% of 680 is less than 20% of 410.
Which is less?
- 140% of 475
- 190% of 350
- neither; they are equal
140% of 475 = 1.4 × 475 = 665
190% of 350 = 1.9 × 350 = 665
140% of 475 is equal to 190% of 350.
let’s practice!
