Percentage Calculator
Free online percentage calculator for all your percentage calculations. Calculate percentages, percentage changes, percentage differences and more with detailed explanations.
What is X% of Y?
X is what % of Y?
Percentage Change
Find Base Value
Practical Examples
What is 20% of 150?
20% × 150 = (20/100) × 150 = 30
20% of 150 is 30
25 is what percent of 200?
(25 ÷ 200) × 100 = 12.5%
25 is 12.5% of 200
Increase from 80 to 100
((100 - 80) ÷ 80) × 100 = 25%
25% increase
Find original after 20% increase to 120
120 ÷ (1 + 20/100) = 100
Original value was 100
Understanding Percentages
A percentage is a way to express a number as a fraction of 100. The term "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are used widely in everyday life, from calculating discounts and interest rates to understanding statistics and financial reports.
How to Calculate Percentages
To calculate a percentage, divide the part by the whole and multiply by 100. The basic percentage formula is:
Percentage = (Part / Whole) × 100
Common Percentage Calculations
Percentage of a number: To find what X% of Y is, use the formula:
Result = (X / 100) × Y
Percentage difference: To find what percentage X is of Y:
Percentage = (X / Y) × 100
Percentage change: To calculate the percentage increase or decrease between two values:
Percentage Change = ((New Value - Original Value) / Original Value) × 100
Real-World Applications
Percentages are used in many practical situations:
- Discounts and Sales: Calculating how much you save during sales
- Finance: Determining interest rates, investment returns, and loan payments
- Statistics: Representing survey results and data analysis
- Academic Grading: Calculating test scores and final grades
- Health and Nutrition: Understanding nutritional information on food labels
Tips for Accurate Percentage Calculations
- Always double-check whether you're calculating percentage of or percentage change
- Remember that percentage increase and decrease are based on the original value
- When working with successive percentage changes, use multiplication rather than addition
- For complex calculations, break them down into smaller steps
Frequently Asked Questions
How do I calculate a percentage?
To calculate a percentage, divide the part by the whole and multiply by 100. For example, to find what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%.
What is the formula for percentage increase?
The formula for percentage increase is: ((New Value - Original Value) / Original Value) × 100. For example, if a product's price increases from $50 to $60, the percentage increase is ((60-50)/50) × 100 = 20%.
How do I calculate reverse percentages?
To calculate a reverse percentage, divide the final amount by 1 plus the percentage (as a decimal). For example, if you have $120 after a 20% increase: 120 ÷ (1 + 0.20) = 100.
How do I add a percentage to a number?
To add a percentage to a number, multiply the number by 1 plus the percentage (as a decimal). For example, to add 15% to 100: 100 × (1 + 0.15) = 115.
What is the difference between percentage points and percentages?
Percentage points refer to an absolute difference between two percentages, while percentages refer to a relative change. For example, an increase from 10% to 15% is a 5 percentage point increase, but a 50% increase in value.
Percentage Calculator
Free online percentage calculator for all your percentage calculations. Calculate percentages, percentage changes, percentage differences and more with detailed explanations.
What is X% of Y?
X is what % of Y?
Percentage Change
Find Base Value
Practical Examples
What is 20% of 150?
20% × 150 = (20/100) × 150 = 30
20% of 150 is 30
25 is what percent of 200?
(25 ÷ 200) × 100 = 12.5%
25 is 12.5% of 200
Increase from 80 to 100
((100 - 80) ÷ 80) × 100 = 25%
25% increase
Find original after 20% increase to 120
120 ÷ (1 + 20/100) = 100
Original value was 100
Understanding Percentages
A percentage is a way to express a number as a fraction of 100. The term "percent" comes from the Latin "per centum," meaning "by the hundred." Percentages are used widely in everyday life, from calculating discounts and interest rates to understanding statistics and financial reports.
How to Calculate Percentages
To calculate a percentage, divide the part by the whole and multiply by 100. The basic percentage formula is:
Percentage = (Part / Whole) × 100
Common Percentage Calculations
Percentage of a number: To find what X% of Y is, use the formula:
Result = (X / 100) × Y
Percentage difference: To find what percentage X is of Y:
Percentage = (X / Y) × 100
Percentage change: To calculate the percentage increase or decrease between two values:
Percentage Change = ((New Value - Original Value) / Original Value) × 100
Real-World Applications
Percentages are used in many practical situations:
- Discounts and Sales: Calculating how much you save during sales
- Finance: Determining interest rates, investment returns, and loan payments
- Statistics: Representing survey results and data analysis
- Academic Grading: Calculating test scores and final grades
- Health and Nutrition: Understanding nutritional information on food labels
Tips for Accurate Percentage Calculations
- Always double-check whether you're calculating percentage of or percentage change
- Remember that percentage increase and decrease are based on the original value
- When working with successive percentage changes, use multiplication rather than addition
- For complex calculations, break them down into smaller steps
Frequently Asked Questions
How do I calculate a percentage?
To calculate a percentage, divide the part by the whole and multiply by 100. For example, to find what percentage 25 is of 100: (25 ÷ 100) × 100 = 25%.
What is the formula for percentage increase?
The formula for percentage increase is: ((New Value - Original Value) / Original Value) × 100. For example, if a product's price increases from $50 to $60, the percentage increase is ((60-50)/50) × 100 = 20%.
How do I calculate reverse percentages?
To calculate a reverse percentage, divide the final amount by 1 plus the percentage (as a decimal). For example, if you have $120 after a 20% increase: 120 ÷ (1 + 0.20) = 100.
How do I add a percentage to a number?
To add a percentage to a number, multiply the number by 1 plus the percentage (as a decimal). For example, to add 15% to 100: 100 × (1 + 0.15) = 115.
What is the difference between percentage points and percentages?
Percentage points refer to an absolute difference between two percentages, while percentages refer to a relative change. For example, an increase from 10% to 15% is a 5 percentage point increase, but a 50% increase in value.