Percentage Calculator — Calculate Percentages Instantly

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. The word comes from the Latin per centum, meaning "by the hundred." Percentages are used everywhere in daily life — from calculating discounts and tax rates to measuring exam scores, growth rates, and financial returns. The symbol % represents one hundredth (1/100), so 25% means 25 out of every 100.

Percentages make it easy to compare proportions across different scales. Whether you are comparing test scores out of different totals, tracking investment growth, or computing tips at a restaurant, percentages provide a universal language for proportional comparison.

Percentage Formulas

There are three fundamental percentage calculations, each serving a different purpose:

Example 1: What is 25% of 200? Result = 200 x (25/100) = 50.

Example 2: 50 is what percent of 200? Percentage = (50/200) x 100 = 25%.

Example 3: Percentage change from 100 to 150? Change = ((150 - 100) / 100) x 100 = 50% increase.

How to Calculate Percentages — Step by Step

Calculating percentages is straightforward once you understand the basic relationship: Percentage = (Part / Whole) x 100. Here are the common scenarios:

• Finding a percentage of a number — Divide the percentage by 100 and multiply by the number. Example: 15% of 300 = 0.15 x 300 = 45.
• Finding what percent one number is of another — Divide the part by the whole and multiply by 100. Example: What percent is 45 of 300? (45/300) x 100 = 15%.
• Percentage increase — ((New - Old) / Old) x 100. If a price goes from Rs 500 to Rs 650, the increase is ((650-500)/500) x 100 = 30%.
• Percentage decrease — ((Old - New) / Old) x 100. If a price drops from Rs 500 to Rs 400, the decrease is ((500-400)/500) x 100 = 20%.
• Converting fractions to percentages — Divide numerator by denominator and multiply by 100. Example: 3/8 = 0.375 x 100 = 37.5%.

Real-World Applications of Percentages

Percentages are indispensable in everyday life and professional contexts:

• Shopping & Discounts — A 30% discount on a Rs 2,000 item saves you Rs 600, making the sale price Rs 1,400.
• Finance & Investments — Interest rates, returns on investments (ROI), inflation rates, and tax rates are all expressed as percentages.
• Education — Exam scores, grades, and class averages are calculated using percentages. Scoring 85 out of 100 means 85%.
• Health & Nutrition — Daily value percentages on nutrition labels tell you how much of your daily nutrient intake a serving provides.
• Business & Analytics — Profit margins, market share, conversion rates, and growth rates are critical business metrics expressed as percentages.
• Statistics & Data Science — Confidence levels, error rates, and probability distributions rely heavily on percentage calculations.

Common Percentage Conversions

Here are some frequently used percentage-to-fraction and percentage-to-decimal conversions:

• 10% = 1/10 = 0.10
• 20% = 1/5 = 0.20
• 25% = 1/4 = 0.25
• 33.33% = 1/3 = 0.3333
• 50% = 1/2 = 0.50
• 75% = 3/4 = 0.75
• 100% = 1/1 = 1.00