Percentage Change Calculator
Calculate the percentage increase or decrease between two values
Calculate
Visual representation of 30 as 15% of the total
Increase
+50.00%
(150 - 100) Γ· 100 Γ 100 = 50.00%π Calculation Steps
Find the difference: 150 - 100 = 50
Divide by original: 50 Γ· 100 = 0.5000
Multiply by 100: 0.5000 Γ 100 = 50.00%
Understanding Percentages
A percentage is a fraction or ratio expressed as a number out of 100. The word percent literally means 'per hundred'. Percentages are used everywhere in daily life, from calculating discounts to understanding interest rates and statistics.
Types of Percentage Calculations
Percentage of a Number
Find what a percentage of a given number is.
Result = (Percentage Γ· 100) Γ ValuePercentage Change
Calculate the percentage increase or decrease between two values.
Change = ((New - Old) Γ· Old) Γ 100Percentage Formula Cheat Sheet
Percentage of Number
P% Γ XPercentage Change
((New - Old) / Old) Γ 100Percentage Difference
Abs(A - B) / ((A + B) / 2) Γ 100Reverse Percentage
Value / (P / 100)π Popular Use Cases
Discounts & Sales
Calculate the final price after a 20% discount or find out how much you save.
Tips & Gratuities
Easily figure out a 15%, 18%, or 20% tip on your restaurant bill.
Tax Calculations
Determine sales tax or income tax amounts based on percentage rates.
Food & Nutrition
Calculate macronutrient percentages or ingredient ratios in recipes.
Business Metrics
Analyze growth rates, profit margins, and market share percentages.
Grades & Tests
Convert test scores into percentages to understand academic performance.
π‘ Did You Know?
- β’ The word 'percent' comes from the Latin 'per centum', meaning 'by the hundred'.
- β’ Percentages are reversible: 8% of 25 is the same as 25% of 8 (both equal 2).
- β’ The percent symbol (%) evolved from a shorthand for 'per 100' written as 'p/c' or 'p.c.'.
Frequently Asked Questions
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 25% = 25 Γ· 100 = 0.25. To convert back, multiply by 100.
What's the difference between percentage change and percentage difference?
Percentage change measures the change from one value to another (has direction - increase or decrease). Percentage difference compares two values without indicating which is larger.
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