Percentage Calculator
Calculate percentages with step-by-step solutions
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Percentage Calculator Guide
Learn how our percentage calculator works and master percentage formulas
How Our Percentage Calculator Works
Our advanced percentage calculator is designed to handle various percentage calculations with ease. Below, you’ll find detailed explanations of each calculator type along with the formulas they use and step-by-step examples.
Basic Percentage
Finds what percentage a number is of another number.
Example:
What is 20% of 100?
Result = (100 × 20) ÷ 100 = 20
What Percentage
Calculates what percentage one number is of another.
Example:
25 is what percent of 100?
Percentage = (25 ÷ 100) × 100 = 25%
Percentage Increase
Calculates the increased value after a percentage increase.
Final = Original + Increase
Example:
Increase 100 by 10%
Increase = (100 × 10) ÷ 100 = 10
Final = 100 + 10 = 110
Percentage Decrease
Calculates the decreased value after a percentage decrease.
Final = Original – Decrease
Example:
Decrease 100 by 10%
Decrease = (100 × 10) ÷ 100 = 10
Final = 100 – 10 = 90
Percentage Difference
Calculates the percentage difference between two values.
Average = (Value1 + Value2) ÷ 2
Percentage Difference = (Difference ÷ Average) × 100
Example:
Difference between 100 and 150
Difference = |100 – 150| = 50
Average = (100 + 150) ÷ 2 = 125
Percentage Difference = (50 ÷ 125) × 100 = 40%
Reverse Percentage
Finds the original value before a percentage change.
Example:
Final value is 120 after 20% increase
Original Value = 120 ÷ (1 + (20 ÷ 100)) = 120 ÷ 1.2 = 100
Fraction to Percentage
Converts fractions to percentages.
Example:
Convert 3/4 to percentage
Percentage = (3 ÷ 4) × 100 = 0.75 × 100 = 75%
Tip Calculator
Calculates tip amount and total bill, split among people.
Total = Bill Amount + Tip
Per Person = Total ÷ Number of People
Example:
$100 bill, 15% tip, 2 people
Tip = 100 × (15 ÷ 100) = $15
Total = $100 + $15 = $115
Per Person = $115 ÷ 2 = $57.50
Additional Percentage Formulas
Percentage Change
Used to calculate the percentage increase or decrease from an old value to a new value.
Percentage Point Difference
The difference between two percentages, expressed in percentage points.
Percentage of Total
Calculates what percentage a specific part is of the total amount.
Compound Percentage Change
Where r is the percentage change (as decimal) and n is the number of periods.
Percentage Error
Measures the accuracy of an experimental value compared to a theoretical value.
Success Rate
Calculates the percentage of successful attempts out of total attempts.
Tips and Tricks for Percentage Calculations
Convert Percentages to Decimals
To convert a percentage to a decimal, divide by 100. For example, 25% = 0.25. This makes calculations easier.
Use the Memory Function
Our calculator includes memory functions to store intermediate results. This is helpful for complex multi-step calculations.
Keyboard Shortcuts
Press Enter in any input field to quickly calculate the result without clicking the Calculate button.
Check Your History
The calculator saves your calculation history. You can review previous calculations or clear the history as needed.
Visualize Percentages
Remember that 100% represents the whole. 50% is half, 25% is a quarter, and 10% is one-tenth of the whole.