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SmartCalc
📊Math Guide

How to Calculate Percentage

Master all 5 types of percentage calculations with step-by-step visual examples

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

Find X% of a Number

FormulaResult = (Percentage ÷ 100) × Number
Real Example
What is 15% of ₹2,000?
= (15 ÷ 100) × 2,000
= 0.15 × 2,000
= ₹300 ✓

Used for: GST calculation, discounts, tips

Type 2 → Try Calculator
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SmartCalc
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Type 2

X is What % of Y?

Formula% = (X ÷ Y) × 100
Real Example
You scored 72 out of 90
= (72 ÷ 90) × 100
= 80% ✓

Used for: exam scores, market share, ratios

Type 3 → Calculate
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SmartCalc
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Type 3

Percentage Increase

Formula% Change = [(New − Old) ÷ Old] × 100
Salary Hike Example
Old salary: ₹40,000
New salary: ₹52,000
= [(52,000 − 40,000) ÷ 40,000] × 100
= 30% hike! ✓
Type 4 → Try It
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SmartCalc
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Type 4

Percentage Decrease

Formula% Decrease = [(Old − New) ÷ Old] × 100
Price Drop Example
Original price: ₹1,000
Sale price: ₹750
= [(1,000 − 750) ÷ 1,000] × 100
= 25% off! ✓
Type 5: Reverse % → Calculate
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SmartCalc
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Type 5

Reverse Percentage

You know the sale price and discount % — find the original price

FormulaOriginal = Sale Price ÷ (1 − Discount/100)
Example
Sale price: ₹800, Discount: 20%
= 800 ÷ (1 − 0.20) = 800 ÷ 0.80
Original = ₹1,000 ✓
Common examples → Try Reverse %
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SmartCalc
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📋 Quick Reference

Real-World Examples

18% GST18% of ₹5,000 = ₹900
25% off₹2,000 → pay ₹1,500
Exam 72/90(72÷90)×100 = 80%
Salary hike40k→52k = 30% increase
Try the calculator → Open Tool
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SmartCalc
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⚠️ Common Mistake

% vs Percentage Points

Don't confuse these!
Interest rates: 4% → 6%
❌ "Increased by 2%" (WRONG)
✅ "Rose 2 percentage points"
✅ "Rose 50% relatively"
1 basis point = 0.01%
Try the calculator → Calculate
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SmartCalc
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📊Free Tool

3 Percentage Modes in One Tool

Find X% of Y · What % is X of Y · Percentage increase/decrease. All free, all instant.

📊 Open Percentage Calculator

Also: Discount · Tax / GST · Scientific Calculator

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