Modern Percentage Calculator
Quick, accurate, and beautiful tools for all your percentage calculations.
Basic Percentage Tools
Percent Off Calculator
Formula: Original × (1 - (Discount ÷ 100))
Example: $100 with 25% off → 100 × (1 - 0.25) = $75
Advanced Percentage Tools
Find Total from Percentage
Percent Difference
Percent Increase
Percent Decrease
Increase by Percent
Decrease by Percent
Conversion Tools
Fraction to Percent
Decimal to Percent
Percent to Decimal
Percent to Fraction
Decimal to Fraction
Fraction to Decimal
Percentage Calculators Guide
Our calculators help you perform various percentage-related calculations quickly and accurately. Below you'll find detailed descriptions of each calculator with formulas and examples to help you understand how they work.
What is X% of Y?
"What is X% of Y" calculator finds what X percent of a number Y equals. It's one of the most common percentage calculations used in everyday situations like calculating discounts, taxes, tips, or portions of a whole. Understanding this calculation is essential for financial planning, shopping, and many business applications.
Formula:
(X / 100) × Y
Example:
Find 15% of 200:
(15 / 100) × 200 = 0.15 × 200 = 30
This means that 15% of 200 equals 30. This calculation can be used for finding sales tax, tips at restaurants, or discounts while shopping.
What Percent is X of Y?
"What Percent is X of Y" calculator determines what percentage one number is of another. It's useful for analyzing proportions, comparing values, or understanding the relationship between two numbers in percentage terms. This calculation is frequently used in statistics, business analysis, and performance measurement.
Formula:
(X / Y) × 100%
Example:
What percent is 30 of 150?
(30 / 150) × 100% = 0.2 × 100% = 20%
This means that 30 is 20% of 150. This calculation is useful for determining what portion of a total something represents, such as what percentage of your budget goes to rent.
Percent Off Calculator
Percent Off calculator computes the final price after applying a percentage discount. It's perfect for shopping, sales, and determining how much you'll pay after a discount is applied to the original price. This is particularly useful during sales events, when calculating coupons, or determining the final cost of items on clearance.
Formula:
Original Price × (1 - Discount / 100)
Example:
An item costs $100 with a 25% discount:
$100 × (1 - 25/100) = $100 × 0.75 = $75
The final price after the 25% discount is $75. This means you save $25 on your purchase.
Total from Percent
Total from Percent calculator finds the whole amount when you know a part and what percentage that part represents. This is useful for working backward from partial information to determine the complete value. Common applications include finding total costs, original prices, or complete quantities.
Formula:
(Part × 100) ÷ Percentage
Example:
If 25 is 20% of what number?
(25 × 100) ÷ 20 = 2500 ÷ 20 = 125
This means that if 25 is 20% of a number, that number is 125. This calculation is useful in many real-world scenarios, such as finding the original price before a discount or determining a total budget when you know how much was spent on one category.
Percent Difference
Percent Difference calculator measures the relative difference between two values as a percentage of their average. It's particularly useful for comparing data points, analyzing changes, and understanding the magnitude of differences between values. This calculation is widely used in scientific research, market analysis, and performance comparisons.
Formula:
(|A - B| / ((A + B) ÷ 2)) × 100%
Where |A - B| is the absolute difference between the values.
Example:
Find the percentage difference between 50 and 100:
(|50 - 100| / ((50 + 100) ÷ 2)) × 100% = 50 / 75 × 100% = 66.67%
The percentage difference between 50 and 100 is 66.67%. This is useful when comparing two values without specifying which is the initial or final value.
Percent Increase
Percent Increase calculator determines the percentage increase or decrease from an initial value to a final value. It's essential for tracking growth or decline in various metrics such as sales, population, investments, or any value that changes over time. The result can be positive (indicating an increase) or negative (indicating a decrease).
Formula:
((Final - Initial) / Initial) × 100%
Example:
Calculate the Percent Increase from 80 to 100:
((100 - 80) / 80) × 100% = 20 / 80 × 100% = 25%
This means there was a 25% increase from the initial value of 80 to the final value of 100. This calculation is commonly used in financial analysis, performance reporting, and trend analysis.
Increase by Percent
Increase by Percent calculator finds the new value after increasing an original value by a specified percentage. It's commonly used for calculating salary raises, price increases, population growth, or any value that grows by a percentage. This is particularly useful in financial planning, budgeting, and forecasting.
Formula:
Original Value × (1 + Increase Percentage / 100)
Example:
Increase $50 by 20%:
$50 × (1 + 20/100) = $50 × 1.2 = $60
After a 20% increase, $50 becomes $60. This calculation is useful for determining new prices after inflation, new salaries after raises, or new quantities after growth.
Decrease by Percent
Decrease by Percent calculator finds the new value after decreasing an original value by a specified percentage. It's useful for calculating price reductions, budget cuts, depreciation, or any value that decreases by a percentage. This calculation is frequently used in retail, finance, and resource planning.
Formula:
Original Value × (1 - Decrease Percentage / 100)
Example:
Decrease $100 by 15%:
$100 × (1 - 15/100) = $100 × 0.85 = $85
After a 15% decrease, $100 becomes $85. This calculation is useful for determining sale prices, reduced budgets, or values after depreciation.
Fraction to Percent
Fraction to Percent calculator converts a common fraction (such as 1/4 or 3/5) to its equivalent percentage value. This conversion is useful in many educational, financial, and everyday contexts where you need to express a fractional part as a percentage.
Formula:
(Numerator / Denominator) × 100%
Example:
Convert 3/4 to a percentage:
(3 / 4) × 100% = 0.75 × 100% = 75%
This means that 3/4 is equivalent to 75%. This conversion is helpful when you need to express fractions in percentage form for easier comparison.
Decimal to Percent
Decimal to Percent calculator converts a decimal number (such as 0.25 or 0.75) to its equivalent percentage. This conversion is frequently used in finance, statistics, and data analysis where decimal values need to be expressed as percentages for clearer communication.
Formula:
Decimal × 100%
Example:
Convert 0.35 to a percentage:
0.35 × 100% = 35%
This means that 0.35 is equivalent to 35%. This conversion is particularly useful in financial contexts (like interest rates) or when analyzing data where percentages provide a more intuitive understanding.
Percent to Decimal
Percent to Decimal calculator converts a percentage to its decimal equivalent. This conversion is essential for many mathematical calculations where percentages need to be used in formulas. It's widely used in finance, statistics, and scientific calculations where decimal representation is required.
Formula:
Percent ÷ 100
Example:
Convert 25% to a decimal:
25 ÷ 100 = 0.25
This means that 25% is equivalent to 0.25 in decimal form. This conversion is useful when working with spreadsheets, programming, or performing calculations where decimal values are needed instead of percentages.
Percent to Fraction
Percent to Fraction calculator converts a percentage to a common fraction in its simplest form. This conversion is useful in various mathematical and real-world contexts where fractional representation is more practical or intuitive than percentages. Understanding this conversion helps in visualizing proportions in different formats.
Formula:
Percent/100 → simplify fraction
Example:
Convert 75% to a fraction:
75/100 = 3/4 (simplified)
This means that 75% is equivalent to 3/4 in fractional form. This conversion is particularly useful in contexts where fractions are more intuitive than percentages, such as in cooking (3/4 cup instead of 75% of a cup) or in certain mathematical applications.
Fraction to Decimal
Fraction to Decimal calculator converts a common fraction to its decimal equivalent. This conversion is essential for many mathematical operations, computer calculations, and situations where decimal representation is more practical. It's widely used in engineering, finance, and scientific applications.
Formula:
Numerator / Denominator
Example:
Convert 3/4 to a decimal:
3 / 4 = 0.75
This means that 3/4 is equivalent to 0.75 in decimal form. This conversion is useful in calculations, spreadsheets, and many real-world applications where decimal values are preferred over fractions.
Decimal to Fraction
Decimal to Fraction calculator converts a decimal number to a common fraction in its simplest form. This conversion is useful in various mathematical and real-world contexts where fractional representation is more practical or intuitive than decimal form.
Formula:
Decimal → simplify fraction
Example:
Convert 0.75 to a fraction:
0.75 = 75/100 = 3/4 (simplified)
This means that 0.75 is equivalent to 3/4 in fractional form. This conversion is useful in contexts where fractions are more intuitive than decimals, such as in cooking recipes or certain mathematical applications.
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