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Percentages
· Formula🧮 Formula Reference Sheet
Percentage = (Part ÷ Whole) × 100 Part = (Percentage × Whole) ÷ 100 % Change = ((New − Old) ÷ Old) × 100 Successive % = a + b + (a×b ÷ 100) Reverse = Original = Value ÷ (1 ± %/100)
⚡ Example per formula
Percentage = (Part ÷ Whole) × 100
↳25 / 200 × 100 = 12.5%
Part = (Percentage × Whole) ÷ 100
↳40% × 250 = 100
% Change = ((New − Old) ÷ Old) × 100
↳(250 − 200) / 200 × 100 = 25% increase
Successive % = a + b + (a×b ÷ 100)
↳20% + 10% = 20+10−2 = 28% (not 30%)
Reverse = Original = Value ÷ (1 ± %/100)
↳Paid ₹480 after 20% off → 480 / 0.8 = ₹600 original
✏️ Worked Example
What is 35% of 240?
👁 Show step-by-step solution
35% of 240 = (35/100) × 240 = 84 ✅ Answer: 84
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