📊Math Guide

How to Calculate Percentage

Master all 5 types of percentage calculations with examples

SmartCalc · smart-calculator.in
Percentage Calc →
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Type 1

Find X% of a Number

FormulaResult = (Percentage ÷ 100) × Number
Example
What is 15% of Rs 2,000?
= (15 ÷ 100) × 2,000
= Rs 300
Type 2 →
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Type 2

X is What % of Y?

Formula% = (X ÷ Y) × 100
Exam score example
You scored 72 out of 90
= (72 ÷ 90) × 100
= 80%
Type 3 →
Calculate
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Type 3

Percentage Increase

Formula% Change = [(New - Old) ÷ Old] × 100
Salary hike example
Old: Rs 40,000 · New: Rs 52,000
= [(52,000 - 40,000) ÷ 40,000] × 100
= 30% hike!
Type 4 →
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Type 4

Percentage Decrease

Formula% Decrease = [(Old - New) ÷ Old] × 100
Price drop example
Original: Rs 1,000 · Sale: Rs 750
= [(1,000 - 750) ÷ 1,000] × 100
= 25% off!
Type 5 →
Calculate
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Type 5

Reverse Percentage

Know sale price and discount — find the original price

FormulaOriginal = Sale Price ÷ (1 - Discount/100)
Example
Sale price Rs 800, Discount 20%
= 800 ÷ 0.80
Original = Rs 1,000
Quick reference →
Try Reverse
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Quick Reference

Real-World Examples

18% GST18% of Rs 5,000 = Rs 900
25% offRs 2,000 → pay Rs 1,500
72 of 90(72÷90)×100 = 80%
Salary hike40k to 52k = 30% increase
Common mistake →
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Common Mistake

% vs Percentage Points

Do not confuse these!
Rates rise from 4% to 6%
WRONG: "Increased by 2%"
RIGHT: "Rose 2 percentage points"
Relative change = 50% increase
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