Everyday Math Tools

Ultimate Percentage Calculator

Solve any percentage problem instantly. Calculate Discounts, Tips, Percentage Change, and more with our all-in-one math utility.

Basic Percentage

What is% of?
Result: 0

Find Percentage

is what % of?
Answer: 0%

Percentage Change

Fromto
Result: 0%

Discount Calculator

Price:Discount:
You Save
$0
Pay
$0

Reverse Percentage

% of what is?
Whole Value: 0

Fraction to Percentage

/
Result: 0%

Why Use a Percentage Calculator?

Percentages are everywhere—from shopping discounts and restaurant tips to bank interest rates and tax calculations. While the math is simple, finding the right formula for each scenario can be confusing.

Our All-in-One Percentage Calculator eliminates the guesswork. Whether you are a student checking homework, a shopper calculating a sale price, or a business owner analyzing growth, this tool covers every possible percentage scenario.

Key Features

Basic Percentages

Find X% of Y instantly. Perfect for tips and tax.

Percentage Change

Calculate the increase or decrease between two values (e.g., this year's vs last year's revenue).

Discount Calculator

Enter original price and percent off to see the final price and amount saved.

Reverse Percentage

Find the original number if you only know the final number and the percentage change.

Common Percentage Formulas

Understand the math behind the magic. Here are the formulas we use:

Percentage of Value

(P ÷ 100) × V

Example: 20% of 500 = 0.2 × 500 = 100

Percentage Increase

((New - Old) ÷ Old) × 100

Example: 50 to 75 is a 50% increase.

Percentage Decrease

((Old - New) ÷ Old) × 100

Example: 100 to 80 is a 20% decrease.

Real-World Examples

Tip: The word "percent" comes from the Latin per centum, meaning "by the hundred". It is a way of expressing a number as a fraction of 100.

1. Calculating Tips

If your restaurant bill is $45 and you want to leave a 20% tip, simply calculate: $45 × 0.20 = $9. Your total payment would be $54.

2. Finding Discounts

A shirt originally costs $80 and is on sale for 30% off.
Discount Amount: $80 × 0.30 = $24.
Final Price: $80 - $24 = $56.

3. Stock Market Growth

If you bought a stock at $150 and sold it at $200, what is your return?
Increase = $200 - $150 = $50.
Percentage = ($50 ÷ $150) × 100 = 33.33% Return on Investment (ROI).

Frequently Asked Questions

How do I calculate a percentage of a number?
To find X% of Y, divide the percentage by 100 and multiply by the number. Formula: (Percentage ÷ 100) × Number. Example: 20% of 50 is (20 ÷ 100) × 50 = 10.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result by the original value, then multiply by 100. Formula: ((New - Old) ÷ Old) × 100.
How to convert a fraction to a percentage?
Divide the numerator (top number) by the denominator (bottom number) and multiply the result by 100. Example: 3/4 = 0.75 × 100 = 75%.
What is the reverse percentage formula?
To find the original number before a percentage increase, divide the final number by (1 + Percentage/100). Example: If 120 includes a 20% tax, the original price is 120 / 1.2 = 100.
Is this tool free?
Yes, our Percentage Calculator is completely free to use for unlimited calculations.