How to calculate discounted price?

Method 1: Original Price × (100% - Discount Rate); Method 2: Original Price - (Original Price × Discount Rate). For example, $100 item with 20% off: 100 × 80% = $80.

Can percentages exceed 100%?

Yes. When the part is greater than the whole, percentage exceeds 100%. For example, this year's sales are 150% of last year's, indicating 50% growth.

What does negative percentage mean?

Negative percentages usually indicate decrease or decline. For example, -20% means a 20% decrease, commonly used to describe losses or declines.

How to calculate compound growth rate?

Compound growth rate formula: ((Final Value/Initial Value)^(1/Periods) - 1) × 100%. Our calculator provides a dedicated compound growth calculation mode.

What's the precision of percentage calculations?

Our calculator supports high-precision calculations, handling up to 15 significant digits, meeting most practical application needs.

How to understand the difference between percentage points and percentage?

Percentage points are the absolute difference between percentages. For example, growing from 10% to 15% is an increase of 5 percentage points, but a 50% growth rate.

How does tax calculation work?

Select tax calculation mode, enter pre-tax amount and tax rate, the system will automatically calculate tax amount and total. Supports VAT, sales tax, and other tax calculations.

Can calculation results be saved?

Calculation history is automatically saved locally in your browser, allowing you to view recent calculation records anytime. Clearing browser data will delete these records.

How to calculate discounted price?

Method 1: Original Price × (100% - Discount Rate); Method 2: Original Price - (Original Price × Discount Rate). For example, $100 item with 20% off: 100 × 80% = $80.

Can percentages exceed 100%?

Yes. When the part is greater than the whole, percentage exceeds 100%. For example, this year's sales are 150% of last year's, indicating 50% growth.

What is compound growth rate?

Compound growth rate formula: ((Final Value/Initial Value)^(1/Periods) - 1) × 100%. Our calculator provides a dedicated compound growth calculation mode.

Percentage Calculator

Learn how to calculate percentage with our professional calculator. Supports percentage increase, decrease, change, compound growth and more with step-by-step solutions.

Basic

X is what % of Y

Calculate what percentage one number is of another

Example:

25 is 25% of 100

Number (X)*

Total (Y)*

Basic

What is X% of Y

Calculate a specific percentage of a number

Example:

25% of 100 = 25

Original Value*

Percentage (%)*

Basic

Percentage Increase

Increase a number by a percentage

Example:

100 + 25% = 125

Original Value*

Increase By (%)*

Basic

Percentage Decrease

Decrease a number by a percentage

Example:

100 - 25% = 75

Original Value*

Decrease By (%)*

Usage Guide

How to Use Percentage Calculator - Complete Guide

The percentage calculator is a powerful math tool that helps you quickly and accurately perform various percentage-related calculations. Whether you're calculating discounts in daily life or evaluating growth rates in business analysis, this calculator handles it all.

Main Purpose

Main uses include: calculating percentages, growth rate analysis, discount and tax calculations, investment return evaluation, and more.

Steps

Step 1

Select the calculation mode you need (Basic or Advanced calculations)

Step 2

Enter values in the corresponding input fields

Step 3

The system will automatically calculate and display results

Step 4

View detailed step-by-step solution process

Step 5

Copy results or formulas for use elsewhere

Requirements

Numeric Input

Supports positive numbers, negative numbers, and decimals

Value Range

Percentage values typically range from 0-100%, but calculations beyond this range are supported

Precision

Supports up to 15 significant digits

Important Notes

Division by Zero

Avoid situations where the divisor is zero

Large Numbers

Extremely large values may affect calculation precision

Complex Calculations

For compound calculations, ensure input parameters are reasonable

Use Cases

Real-World Application Scenarios

Learn how to apply the calculator through real scenarios

Example 1

Shopping Discount Calculation

Original price $200, 20% off - what's the final price?

Solution:

200 × (100% - 20%) = 200 × 80% = $160

Example 2

Tip Calculation

Restaurant bill is $120, want to leave 15% tip

Solution:

120 × 15% = $18, total $138

Example 3

Grade Conversion

Scored 85 out of 100 points, what's the percentage?

Solution:

85 ÷ 100 × 100% = 85%

Principles

Calculation Principles Explained

Understand the calculation principles and mathematical formulas

Basic Concepts

Core Concept

Percentage represents the proportion of one number relative to another, expressed as a ratio with 100 as the base.

Key Formula

Basic formula: Percentage = (Part/Whole) × 100%

Formulas

Finding Percentage

Percentage = (X ÷ Y) × 100%

Calculate what percentage one number is of another

Finding Percentage Value

Result = Number × Percentage ÷ 100

Calculate what a specified percentage of a number equals

FAQ

Frequently Asked Questions

Most common questions and detailed answers