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Percentage Calculator
A simple free tool for calculating percentages
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About Percentages
A percentage is a way to express a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% (read as "forty-five percent") is equal to 45/100, or 0.45.
Percentages are used in everyday calculations like discounts, taxes, interest rates, and statistics. Understanding percentages helps make informed decisions about personal finances, business, and other areas of life.
Mastering Percentage Calculations: A Comprehensive Guide
What Are Percentages?
A percentage (from Latin per centum meaning "by a hundred") is a mathematical concept representing parts per hundred. Expressed using the % symbol, percentages simplify complex ratios into easily comparable values. For example, saying "62% of users prefer our percentage calculator" instantly communicates that 62 out of every 100 users choose this tool.
Core Percentage Formulas
Basic Percentage Formula:
\( \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}}
\right) \times 100 \)
Percentage Change Formula:
\( \text{Change} = \left( \frac{\text{New Value - Original
Value}}{\text{Original Value}} \right) \times 100 \)
Percentage Difference Formula:
\( \text{Difference} = \left( \frac{|V_1 - V_2|}{\frac{(V_1 +
V_2)}{2}} \right) \times 100 \)
Practical Uses of Percentages
Financial Calculations: Calculate sales tax (e.g., 7% on $150 purchase), mortgage rates, or investment returns. Our percentage calculator simplifies complex financial planning.
Academic Grading: Determine test scores (85% correct answers) or grade improvements. Essential for students tracking academic progress.
Health & Fitness: Track body fat percentage changes or nutritional values (daily 25% vitamin C requirement).
Percentage Calculator FAQs
How to calculate percentage increase?
Use our
percentage change calculator:
1. Enter original value
2. Input new value
3. Get instant percentage difference
What's the difference between percentage points and percentages?
While often confused, percentage points refer to absolute differences (e.g., 5% to 7% is a 2 percentage point increase), whereas percentage change describes relative difference (40% increase in this case).
How to add percentage to a number?
Use formula:
New Value = Original × (1 + Percentage/100). Our
percentage calculator
automates this for sales tax, tips, and markup calculations.
Why Choose Our Percentage Calculator?
Multi-Function Tool: Handles basic percentages, increases/decreases, and reverse calculations better than single-purpose calculators.
Mobile-Optimized Design: Works seamlessly on smartphones, tablets, and desktops. Perfect for quick calculations at school, work, or shopping.
Educational Resources: Detailed explanations help users understand percentage concepts rather than just getting answers.