Free Percentage Calculator - Calculate Percentages Online
Calculate percentages, percentage changes, increases, decreases, and solve various percentage problems instantly. Our comprehensive percentage calculator handles all types of percentage calculations with step-by-step explanations.
✓ Multiple calculation types ✓ Instant results ✓ Step-by-step explanations ✓ Free to use
How to Use Our Percentage Calculator
Our percentage calculator offers four different calculation types to handle all your percentage needs:
Basic Percentage
Find what percentage one number is of another number.
Example: What percentage is 25 of 100? Answer: 25%
Percentage of Number
Calculate what X% of a number equals.
Example: What is 20% of 150? Answer: 30
Percentage Change
Find the percentage increase or decrease between two values.
Example: Change from 100 to 120? Answer: 20% increase
Increase/Decrease
Calculate the final value after applying a percentage change.
Example: 100 increased by 15%? Answer: 115
Percentage Formulas and Calculations
Essential Percentage Formulas
Basic Percentage Formula:
Use this to find what percentage one number is of another.
Percentage of a Number:
Use this to calculate X% of any number.
Percentage Change:
Use this to find percentage increase or decrease.
Increase/Decrease:
Use this to apply percentage changes to values.
Step-by-Step Calculation Examples
Example 1: Basic Percentage
Question: What percentage is 75 of 300?
Step 1: Divide the value by the total: 75 ÷ 300 = 0.25
Step 2: Multiply by 100: 0.25 × 100 = 25%
Answer: 75 is 25% of 300
Example 2: Percentage Change
Question: What's the percentage change from 80 to 100?
Step 1: Find the difference: 100 - 80 = 20
Step 2: Divide by original value: 20 ÷ 80 = 0.25
Step 3: Multiply by 100: 0.25 × 100 = 25%
Answer: 25% increase
Common Percentage Applications
Business & Finance
- • Calculate sales tax and discounts
- • Determine profit margins and markups
- • Analyze growth rates and returns
- • Calculate interest rates and fees
- • Budget allocation and expense tracking
Education & Statistics
- • Grade calculations and GPA
- • Test score analysis
- • Survey results and polling data
- • Statistical analysis and research
- • Academic performance tracking
Health & Fitness
- • Body fat percentage calculations
- • Weight loss/gain tracking
- • Nutritional value analysis
- • Exercise progress monitoring
- • Medical test result interpretation
Daily Life
- • Shopping discounts and sales
- • Tip calculations at restaurants
- • Utility bill changes
- • Recipe scaling and cooking
- • Home improvement projects
Percentage Calculator Tips
Quick Mental Math Tricks
10%: Move decimal point one place left
1%: Move decimal point two places left
50%: Divide by 2
25%: Divide by 4
20%: Divide by 5
5%: Half of 10%
15%: 10% + 5%
30%: 3 × 10%
Common Mistakes to Avoid
- • Don't confuse percentage points with percentages
- • Remember that percentage change is relative to the original value
- • Be careful with negative numbers in percentage calculations
- • Always double-check your decimal placement