Percentage Calculator

What is a Percentage?

A percentage is a way of expressing a proportion or fraction as a part of 100. It is represented by the % symbol. For example, 25% means 25 out of every 100, or one quarter. Percentages are used extensively in everyday life, from calculating discounts and taxes to analyzing data and financial returns.

How to Use the Percentage Calculator

Our percentage calculator offers three types of calculations, each designed to solve common percentage problems. Simply enter your values in the appropriate fields and click Calculate. The tool will instantly show you the result along with a clear explanation and the formula used.

Type 1: What is X% of Y?

This calculation finds what a specific percentage of a number equals. For example, "What is 20% of 500?" Enter 20 as the percentage and 500 as the total. The result is 100, meaning 20% of 500 equals 100.

Example: If you buy an item that costs 1,200 euros with a 15% discount, enter 15 as the percentage and 1,200 as the total. The discount amount is 180 euros, so you will pay 1,020 euros.

Type 2: X is What Percent of Y?

This calculation determines what percentage one number represents of another. For example, "25 is what percent of 200?" Enter 25 as the part and 200 as the whole. The result is 12.5%, meaning 25 is 12.5% of 200.

Example: If you scored 85 points out of 100 on a test, enter 85 as the part and 100 as the whole. The result shows you scored 85% on the test.

Type 3: Percentage Increase or Decrease

This calculation finds the percentage change between two values, showing whether something increased or decreased. For example, "What is the percentage change from 50 to 65?" Enter 50 as the old value and 65 as the new value. The result is +30%, indicating a 30% increase.

Example: If a product's price increased from $100 to $120, enter 100 as the old value and 120 as the new value. The result shows a +20% increase. If the price decreased from $100 to $80, the result shows a -20% decrease.

Percentage Formulas

Each calculation type uses a specific formula:

• What is X% of Y? Formula: (Total × Percentage) / 100 = Result
• X is what percent of Y? Formula: (Part / Whole) × 100 = Percentage
• Percentage increase/decrease: Formula: ((New Value - Old Value) / Old Value) × 100 = Percentage Change

Our calculator automatically applies these formulas and shows you the step-by-step calculation for transparency.

Common Use Cases

Percentages are used in many everyday situations:

• Discounts and Sales: Calculate how much you save on discounted items or determine sale prices
• Taxes: Determine VAT, sales tax, or income tax amounts
• Tips: Calculate tips at restaurants (typically 15-20% of the bill)
• Grades and Scores: Determine test scores, grade percentages, or performance metrics
Finance: Calculate interest rates, investment returns, loan percentages, or fee calculations
• Business: Analyze profit margins, growth rates, market share, or conversion rates
• Statistics: Analyze survey results, population changes, or data trends

Frequently Asked Questions

Can percentages be greater than 100%?

Yes, percentages can exceed 100%. For example, if something increases by 150%, it means it has more than doubled. A 200% increase means the value has tripled.

Can I use decimals in percentage calculations?

Yes, you can use decimal values. For example, 12.5% is valid and commonly used. Our calculator supports decimal inputs and provides precise results.

What is the difference between percentage increase and percentage of?

Percentage of calculates what a portion represents (e.g., 20% of 100 = 20). Percentage increase shows how much a value changed relative to its original value (e.g., from 100 to 120 is a 20% increase).

How do I calculate a percentage decrease?

Use Type 3 (Percentage Increase/Decrease). Enter the original (higher) value as the old value and the new (lower) value. The calculator will show a negative percentage, indicating a decrease.

What if I need to find what percent one number is of another?

Use Type 2 (X is what percent of Y?). Enter the smaller number as the part and the larger number as the whole to find what percentage the part represents.

Can I calculate multiple percentage problems at once?

Yes! Our calculator provides three independent sections, so you can perform different types of percentage calculations simultaneously without clearing previous results.

Helpful Tips

When working with percentages, remember that:

• Percentages represent parts per 100, making comparisons easier
• You can convert percentages to decimals by dividing by 100 (25% = 0.25)
• To convert decimals to percentages, multiply by 100 (0.25 = 25%)
• Percentage changes are relative to the original value, not the new value
• Always verify your results, especially for financial calculations