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Percentage Calculator

All types of percentage calculations — increase, decrease, difference, and more

🔢 What is X% of Y?

%

🔍 X is What % of Y?

📈 Percentage Increase / Decrease

Increase a Number by X%

%

Decrease a Number by X%

%

🔄 Percentage Difference Between Two Numbers

How to Calculate Percentages: The Ultimate Guide

Percentages are one of the most practical mathematical concepts used in daily life. Whether you are calculating a store discount, estimating your tax, or tracking your fitness progress, understanding how "percent" works is essential for making informed decisions.

What is a Percentage?

The word "percent" comes from the Latin per centum, which literally means "by the hundred." Essentially, a percentage is a way of expressing any number as a fraction of 100.

  • Example: If you score 45% on an exam, it means you earned 45 points for every 100 points available.

🚀 Essential Percentage Formulas

To use our calculator effectively, it helps to understand the math behind the results. Here are the three most common formulas used in our tool:

1. Percentage Increase

Used to find how much a value has grown (e.g., a salary hike or population growth).

Percentage Increase = ((New Value − Old Value) / Old Value) × 100

2. Percentage Decrease

Used to find the drop in value (e.g., a clearance sale discount).

Percentage Decrease = ((Old Value − New Value) / Old Value) × 100

3. Percentage Difference

Used when you want to compare two values that are part of the same category but don't have an "old" or "new" relationship.

Percentage Difference = (|A − B| / ((A + B) / 2)) × 100

💡 Common Real-World Use Cases

  • Shopping & Discounts: If a jacket costs ₹2,000 and has a 30% discount, you save ₹600 ($2000 \times 0.30$) and pay only ₹1,400.
  • GST & Taxes: If a service costs ₹1,000 with 18% GST, you add ₹180 to the total. Our calculator helps you find both the base price and the tax-inclusive total.
  • Academic Scores: To find your percentage on a test, divide your score by the total marks. For example, 420/500 = 0.84, or 84%.
  • Health Tracking: If you lose 5kg from an initial weight of 100kg, you have achieved a 5% weight loss.

Why Use This Percentage Calculator?

Our calculator is built for simplicity and speed.

  • Easy to use
  • Instant results
  • Works for all common percentage calculations
  • Perfect for students, professionals, and businesses
  • Eliminates manual errors

Essential Percentage Formulas

1. What is X% of Y?

Formula:

(X ÷ 100) × Y

Example: What is 25% of 200?

(25 ÷ 100) × 200 = 50

2. X is What Percent of Y?

Formula:

(X ÷ Y) × 100

Example: 50 is what percent of 200?

(50 ÷ 200) × 100 = 25%

3. Percentage Increase

Formula:

((New Value − Old Value) ÷ Old Value) × 100

4. Percentage Decrease

Formula:

((Old Value − New Value) ÷ Old Value) × 100

5. Increase a Number by X%

Original Value × (1 + X/100)

6. Decrease a Number by X%

Original Value × (1 − X/100)

Real-Life Percentage Examples

Shopping Discounts

If a product costs ₹2000 and has a 30% discount:

2000 × 30 ÷ 100 = ₹600

Final Price = ₹1400

GST Calculation

For a product worth ₹1000 with 18% GST:

1000 × 18 ÷ 100 = ₹180

Total Price = ₹1180

Exam Scores

If you score 420 out of 500:

(420 ÷ 500) × 100 = 84%

Salary Increment

If salary increases from ₹50,000 to ₹55,000:

((55,000 − 50,000) ÷ 50,000) × 100 = 10%

Benefits of Using Our Percentage Calculator

Fast Calculations

Instant results without manual math.

Accurate Results

Avoid human calculation errors.

Multiple Modes

Handle all percentage-related calculations.

Why People Use Percentage Calculators

Manually calculating percentages can take time, especially when dealing with multiple values. A percentage calculator saves time and eliminates mistakes.

  • Quickly calculate discounts while shopping
  • Find GST, VAT, and tax amounts instantly
  • Calculate exam percentages
  • Track salary increments
  • Measure profit or loss in business
  • Monitor health and fitness progress

Frequently Asked Questions

How do I calculate percentage manually?

(Part ÷ Whole) × 100

How do I calculate percentage increase?

((New − Old) ÷ Old) × 100

How do I calculate discount percentage?

((Original Price − Sale Price) ÷ Original Price) × 100

How do I find the original price before discount?
If a product costs ₹750 after a 25% discount, the original price = 750 ÷ (1 − 0.25) = 750 ÷ 0.75 = ₹1,000.