Percentage Calculator
Calculate percentages, percentage changes, and percentage relationships easily
What is X% of Y?
Understanding Percentages
A percentage is a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are used in many areas of daily life, from calculating tips and taxes to understanding statistics and financial data.
Basic Formula
Percentage = (Part / Whole) × 100
Example: 25 out of 100 = (25/100) × 100 = 25%
Percentage Change
% Change = ((New - Old) / Old) × 100
Example: From 50 to 75 = ((75-50)/50) × 100 = 50%
Common Percentage Applications
Finance
- • Interest rates on loans and savings
- • Investment returns and losses
- • Tax calculations
- • Discount and markup calculations
- • Commission calculations
Business
- • Sales growth analysis
- • Profit margins
- • Market share calculations
- • Employee performance metrics
- • Budget allocation
Everyday Life
- • Shopping discounts and sales
- • Tip calculations
- • Grade and test scores
- • Recipe scaling
- • Statistics and surveys
Percentage Calculation Examples
Example 1: Finding a Percentage of a Number
Question: What is 15% of 200?
Solution: 15% × 200 = (15/100) × 200 = 0.15 × 200 = 30
Example 2: Finding What Percentage One Number is of Another
Question: 45 is what percentage of 180?
Solution: (45/180) × 100 = 0.25 × 100 = 25%
Example 3: Calculating Percentage Change
Question: A stock price increased from $80 to $96. What's the percentage increase?
Solution: ((96-80)/80) × 100 = (16/80) × 100 = 20% increase
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Important Disclaimer
Financial Disclaimer: The calculators provided on this website are for calculation and informational purposes only. We do not provide financial, investment, tax, or legal advice. The results generated by these calculators are estimates and should not be considered as professional financial advice.
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