Percentage Calculator

Percentage Calculator - Calculate Percentages Easily Online

Our free online percentage calculator helps you solve various percentage problems quickly and accurately. Calculate percentage of a number, percentage change, increase or decrease percentages, and more with our intuitive tool.

What is a Percentage?

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 taxes to understanding statistics and financial growth.

How to Calculate Percentages

The basic percentage formula is:

Percentage = (Value / Total Value) × 100%

Example Calculations:

What is 20% of 250?

(20/100) × 250 = 50

25 is what percent of 200?

(25/200) × 100 = 12.5%

Percentage increase from 80 to 100?

[(100-80)/80] × 100 = 25%

Decrease 150 by 30%

150 - (150 × 0.3) = 105

Real-World Applications of Percentages

Shopping Discounts

Calculate sale prices and discounts during shopping. For example, a 25% discount on a $80 item saves you $20.

Tax Calculations

Determine sales tax amounts. If tax is 8% on a $50 purchase, the tax amount is $4.

Financial Growth

Calculate interest rates, investment returns, and profit margins. A 7% annual return on $10,000 is $700.

Academic Grading

Determine test scores and grades. Scoring 42 out of 50 equals 84%.

Statistics & Data Analysis

Understand proportions in data sets. If 300 out of 1000 people prefer a product, that's 30%.

Nutrition & Health

Calculate nutritional values like daily percentage values on food labels.

Types of Percentage Calculations

To find what a certain percentage represents of a given number:

Formula: (Percentage / 100) × Number

Example: What is 15% of 200?
(15/100) × 200 = 0.15 × 200 = 30

This calculation is useful for determining discounts, tips, commissions, and many other real-world applications.

To calculate the percentage increase or decrease between two values:

Formula: [(New Value - Original Value) / |Original Value|] × 100

Example: A product's price increased from $50 to $60. What is the percentage increase?
[(60 - 50) / 50] × 100 = (10/50) × 100 = 20%

This calculation is essential for tracking growth, price changes, performance improvements, and many business metrics.

To find the new value after applying a percentage increase or decrease:

Formula for increase: Original Value × (1 + (Percentage/100))

Formula for decrease: Original Value × (1 - (Percentage/100))

Example: A $80 item with a 25% discount:
$80 × (1 - 0.25) = $80 × 0.75 = $60

These calculations are used for applying discounts, calculating tax, determining salary increases, and adjusting values by percentages.

Tips for Percentage Calculations

Convert percentages to decimals by dividing by 100 (e.g., 25% = 0.25)
To find 10% of a number, simply move the decimal point one place to the left
For 5% of a number, find 10% and then divide by 2
When working with percentage increases and decreases, remember that a 50% decrease requires a 100% increase to return to the original value
For successive percentage changes, multiply the factors rather than adding percentages

Common Percentage Conversion Table

Percentage	Fraction	Decimal	Common Uses
25%	1/4	0.25	Quarter, common discount rate
50%	1/2	0.5	Half, median
75%	3/4	0.75	Three-quarters
10%	1/10	0.1	Common tip amount, easy calculation
20%	1/5	0.2	Common discount rate
33.33%	1/3	0.333	One-third
66.67%	2/3	0.667	Two-thirds
100%	1	1.0	Whole, entire amount

Frequently Asked Questions

To calculate a percentage of a number, convert the percentage to a decimal by dividing by 100, then multiply by the number. For example, to find 20% of 150: (20/100) × 150 = 0.2 × 150 = 30.

To calculate percentage increase: subtract the original value from the new value, divide that result by the original value, then multiply by 100. For example, if a product's price increased from $50 to $65: [(65-50)/50] × 100 = (15/50) × 100 = 30% increase.

A percentage point is the arithmetic difference between two percentages. For example, if an interest rate increases from 5% to 7%, it has increased by 2 percentage points, but it's a 40% increase [(7-5)/5 × 100 = 40%].

To add a percentage to a number, multiply the number by (1 + percentage/100). For example, to add 15% to 200: 200 × (1 + 15/100) = 200 × 1.15 = 230.

To subtract a percentage from a number, multiply the number by (1 - percentage/100). For example, to subtract 20% from 150: 150 × (1 - 20/100) = 150 × 0.8 = 120.

Why Use Our Percentage Calculator?

Our percentage calculator provides instant, accurate results for all your percentage calculation needs. Whether you're calculating discounts, tips, tax, interest rates, or statistical data, our tool simplifies the process and eliminates calculation errors. Save time and ensure accuracy with our easy-to-use interface designed for both simple and complex percentage calculations.

Related Calculators

Popular Percentage Calculations

15% of 200

25% of 80

10% discount on $50

$5 savings

20% tip on $75 bill

$15 tip

8% tax on $120 purchase

$9.60 tax

Percentage Conversion Chart

%	Fraction	Decimal
5%	1/20	0.05
10%	1/10	0.1
12.5%	1/8	0.125
20%	1/5	0.2
25%	1/4	0.25
33.33%	1/3	0.333
50%	1/2	0.5
75%	3/4	0.75
100%	1	1.0

Percentage Calculator

Calculation Explanation