Percentage Calculator
A multi-mode percentage calculator: find what X% of Y is, what percentage X is of Y, and percentage increase or decrease between two numbers.
1. What is X% of Y?
Formula: (15 / 100) × 200 = 30
2. X is what percentage of Y?
Formula: (30 / 120) × 100 = 25.00%
3. Percentage Increase or Decrease
Formula: ((100 - 80) / 80) × 100 = 25.00%
About & How It Works
Technical calculation logic, standards, and operational details
The Percentage Calculator provides three distinct mathematical operation modes covering the full spectrum of practical percentage computations. Mode 1 computes what a specified percentage of a given number equals (e.g., "What is 15% of 250?"). Mode 2 determines what percentage one number represents of another (e.g., "45 is what percent of 180?"). Mode 3 calculates the relative percentage increase or decrease between two values — the core formula used in financial reporting, discount pricing, population growth analysis, and academic score comparisons. All three modes display the formula applied alongside the result, enabling transparent mathematical verification.
Algorithmic Logic & Calculation
Each calculation mode applies its own algebraic formula. Mode 1: Result = (Percentage / 100) × Number. Mode 2: Percentage = (Part / Whole) × 100. Mode 3: Change % = ((New Value − Old Value) / |Old Value|) × 100. The engine validates inputs for division-by-zero and negative denominators, presenting error messages with mathematical context. Results are rounded to two decimal places consistent with standard financial rounding conventions.
Percentage calculations follow standard algebraic conventions. Rounding complies with ASTM E29 and common financial rounding to 2 decimal places.
Key Features & Capabilities
Three Calculation Modes
What is X% of Y? / X is what % of Y? / Percentage change between two values.
Formula Transparency
Every result shows the exact formula used so you can verify and learn the calculation process.
Negative & Decrease Detection
Clearly labels negative percentage changes as decreases with red visual indicators.
Zero & Edge-Case Validation
Detects division-by-zero scenarios and invalid inputs before calculation.
Practical Real-World Use Cases
Retail Discount & Sale Price
Shoppers and merchants calculate final prices after applying 10%, 20%, or 30% discounts during Cambodian sales events.
Academic Grade & Score Analysis
Students convert raw exam marks (e.g., 78/100) to percentage scores and determine grade thresholds.
Business Revenue Growth Reporting
Accountants compute quarterly revenue percentage growth or decline for investor reports and tax filings.
How to Use
- Select the calculation mode you need.
- Enter the values in the input fields.
- Get immediate step-by-step results.
Complete Guide to Cambodian Riel (KHR) & Khmer Numerals
An in-depth guide exploring the historical origins of Khmer numerals (០-៩), linguistic counting structures, official National Bank of Cambodia formatting rules, and invoice word spelling.
Frequently Asked Questions
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