Percentage Calculator
Calculate percentages, percentage change, percentage increase/decrease, and percentage of totals. Get instant results with step-by-step explanations.
Percentage Calculation
Percentage Calculation
Calculate what percentage one number is of another number.
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Understanding Percentages
A percentage is a way of expressing a number as a fraction of 100. It's commonly used to compare values, show changes, and express proportions in everyday life, business, and academics.
Percentage Formulas:
- Basic Percentage: Percentage = (Part ÷ Whole) × 100
- Percentage Change: % Change = ((New Value - Old Value) ÷ Old Value) × 100
- Percentage Increase: % Increase = ((New Value - Old Value) ÷ Old Value) × 100
- Percentage Decrease: % Decrease = ((Old Value - New Value) ÷ Old Value) × 100
- Percentage of Total: % of Total = (Value ÷ Total) × 100
Common Applications:
- Grade calculations and academic performance
- Financial analysis and investment returns
- Sales and marketing metrics
- Population and demographic statistics
- Scientific and research data analysis
- Tax calculations and discounts
Frequently Asked Questions
How do I calculate a percentage of a number?
Multiply the number by the percentage divided by 100. For example, 15% of 200 is 200 × 0.15 = 30.
How do I calculate percentage change?
Subtract the old value from the new, divide by the old value, and multiply by 100. From 80 to 100 is (100 − 80) / 80 × 100 = 25% increase.
How do I find what percentage one number is of another?
Divide the part by the whole and multiply by 100. 30 out of 120 is 30 / 120 × 100 = 25%.
How do I add or subtract a percentage from a number?
To add 20% to 50: 50 × 1.20 = 60. To subtract 20%: 50 × 0.80 = 40.