Percentage Calculator
Calculate percentages quickly and easily. Find the percentage of a number, determine what percentage one number is of another, calculate percentage difference, and compute percentage increase or decrease — all in one powerful tool.
What Is a Percentage Calculator?
A percentage calculator is a free online tool that helps you solve all types of percentage problems quickly and accurately. Whether you need to find what percentage one number is of another, calculate the percentage difference between two values, or determine a percentage increase or decrease, this tool provides instant results with step-by-step breakdowns.
Percentages are used everywhere, from shopping discounts and tax rates to statistics and scientific data. Understanding percentages is essential for everyday math, finance, and data analysis.
How Does the Percentage Calculator Work?
The calculator supports four main types of percentage calculations:
Basic Percentage: Find the percentage of a number (e.g., "25% of 200").
Common Phrases: Solve word problems like "What is X% of Y?" or "X is what percent of Y?"
Percentage Difference: Calculate the relative difference between two values.
Percentage Change: Determine the increase or decrease between two values.
Each mode uses the standard percentage formulas and provides a detailed step-by-step breakdown of the calculation so you can understand how the result was derived.
Why Use This Percentage Calculator?
- Four Modes: Basic, Common Phrases, Difference, and Change — all in one tool.
- Step-by-Step: See the formula and calculation breakdown for every result.
- Free & Easy: No registration, no fees — just enter your numbers and get results.
- Visual: Charts and graphs for statistical and percentage data.
- Mobile-Friendly: Works on any device, from desktop to smartphone.
Common Percentage Formulas
- Percentage of a Number: Result = (Percentage ÷ 100) × Value
- What Percent One Number is of Another: Percentage = (Part ÷ Whole) × 100
- Percentage Difference: Diff = |V1 − V2| ÷ ((V1 + V2) ÷ 2) × 100
- Percentage Change: Change = ((New − Old) ÷ |Old|) × 100
❓ Percentage Calculator FAQ
What is a percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is denoted by the symbol "%". For example, 25% means 25 out of 100, or 0.25 as a decimal.
How do I calculate the percentage of a number?
Multiply the number by the percentage (as a decimal). For example, to find 20% of 150: 150 × 0.20 = 30. Use the Basic mode of this calculator for instant results.
How do I find what percentage one number is of another?
Divide the part by the whole and multiply by 100. For example, 25 is what percent of 200: (25 ÷ 200) × 100 = 12.5%. Use the Common Phrases mode for this calculation.
What is the formula for percentage difference?
Percentage Difference = (|V1 − V2| ÷ ((V1 + V2) ÷ 2)) × 100. This gives the relative difference between two values as a percentage of their average.
How do I calculate percentage increase or decrease?
Percentage Change = ((New Value − Old Value) ÷ |Old Value|) × 100. A positive result is an increase; a negative result is a decrease. Use the Change mode for this calculation.
What is the difference between percentage difference and percentage change?
Percentage difference compares two values relative to their average (no direction). Percentage change measures the increase or decrease from an old value to a new value (has direction). Use the Difference mode for the former, Change mode for the latter.
How do I calculate a discount percentage?
Discount Percentage = (Discount Amount ÷ Original Price) × 100. Or, to find the sale price: Sale Price = Original Price × (1 − Discount Percentage ÷ 100).
What is the difference between percentage and percentile?
Percentage is a proportion out of 100. Percentile is a measure used in statistics indicating the value below which a given percentage of observations fall. For example, if you score in the 80th percentile, you scored better than 80% of test-takers.
How do I calculate tax from a total?
If you know the total including tax and the tax rate, the pre-tax amount = Total ÷ (1 + Tax Rate). The tax amount = Total − Pre-Tax Amount. For example, $107 with 7% tax: Pre-tax = 107 ÷ 1.07 = $100, Tax = $7.
What is a reverse percentage calculation?
Reverse percentage finds the original value when you know the percentage and the result. For example, if 25% of a number is 50, the original number is 50 ÷ 0.25 = 200. Use the Common Phrases mode with "X is Y% of what number?"
How do I calculate my grade percentage?
Grade Percentage = (Points Earned ÷ Total Points Possible) × 100. For example, if you earned 85 out of 100 points: (85 ÷ 100) × 100 = 85%.
What is the formula for percentage of total?
Percentage of Total = (Part ÷ Total) × 100. This is useful for calculating what share of a whole a specific value represents.
How do I convert a fraction to a percentage?
Divide the numerator by the denominator and multiply by 100. For example, 3/4 = 0.75 × 100 = 75%. Use our Fraction Calculator for more complex fraction operations.
How do I convert a decimal to a percentage?
Multiply the decimal by 100 and add the % symbol. For example, 0.65 × 100 = 65%.
What is a basis point in percentage terms?
A basis point is 1/100th of a percentage point (0.01%). It is commonly used in finance to describe changes in interest rates or bond yields. 100 basis points = 1%.
How do I calculate the percentage of two numbers in Excel?
In Excel, use the formula: = (Part / Whole) * 100. For percentage change: = ((New - Old) / Old) * 100. Format the cell as a percentage.
What is the difference between markup and margin?
Markup is the percentage added to the cost to get the selling price: Markup = (Profit ÷ Cost) × 100. Margin is the percentage of the selling price that is profit: Margin = (Profit ÷ Selling Price) × 100. Margin is always lower than markup for the same profit.
How accurate is this percentage calculator?
This calculator uses standard mathematical formulas and JavaScript's floating-point arithmetic, providing accurate results to many decimal places. Results are displayed with appropriate precision for practical use.