Math

Free Percentage Calculator

Instantly find what percent of a number is, calculate a discount, or measure percentage change between two values. Works for shopping, finance, school, and everyday math — no sign-up needed.

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Instant Results

Percentage of Value

Find the final number when you know the percentage.

FORMULA: 20% of 100 = 20
Calculated Value
20

Percentage Change

Calculate the increase or decrease between two numbers.

FORMULA: ((Final - Initial) / Initial) × 100 = 50%
Difference
50%
Calculated Value
20
Difference
50%

How It Works

This calculator handles the three most common percentage problems people search for every day: finding what X% of a number is, calculating a percentage increase or decrease between two values, and measuring how much a number has changed relative to its original. Just enter your numbers — results appear instantly as you type.

Percentage Of

'What is 15% of 80?' — enter the percent and the total. Instantly see the value.

Percentage Change

'My salary went from $50K to $65K — what % increase is that?' Enter both numbers.

Percent Off

'This item is 30% off $120 — what do I pay?' Use the Percentage Of section.

What You Can Use It For

Percentages appear in almost every area of modern life. Here are the most common real-world situations where this calculator saves time:

Shopping & DiscountsCalculate exactly how much you save when a $250 jacket is 35% off. No mental math required.
Finance & InvestingMeasure portfolio growth: if your investment grew from $10,000 to $13,400, the percentage gain is 34%.
School & ExamsGot 43 out of 50 on a test? That's 86%. Use the tool to verify your grade conversions instantly.
Business & SalesTrack monthly revenue growth, calculate profit margin, or find what percentage of leads converted.
Health & FitnessLost 4 kg from a starting weight of 80 kg? That's a 5% reduction. Track your progress precisely.
Tax & TipsCalculate 18% GST on an invoice, or find a 20% tip on a restaurant bill without a second thought.

The Math Behind It

Every result uses standard arithmetic — no approximations, no rounding until the final display step.

Percentage of a Number
(Percent ÷ 100) × Total
Example: 20% of 150 = 30
Percentage Change
((New − Old) ÷ Old) × 100
Example: 50 → 75 = +50% increase

Accuracy & Limitations

Results are accurate to standard floating-point precision and displayed to 2 decimal places. This is sufficient for all everyday, commercial, and academic use cases. For very large numbers (>1 trillion) or scientific notation, a dedicated scientific calculator is preferable. Internal links: pair this tool with our Ratio Calculator for proportional problems, or the Average Calculator for statistical data sets. For finance-specific calculations see our Simple Interest Calculator.

Common Questions

What is 20% of 80?

20% of 80 is 16. Use the 'Percentage of Value' section: enter 20 as the percent and 80 as the total. The formula is (20 ÷ 100) × 80 = 16.

How do I calculate percentage increase?

Subtract the old value from the new one, divide by the old value, then multiply by 100. Example: from 50 to 65 → ((65 − 50) ÷ 50) × 100 = 30% increase.

How do I calculate percent off a price?

Use the Percentage of section. Enter the discount rate and the original price. The result is how much you save. Subtract it from the price to get the final amount you pay.

What is the difference between percentage and percentage point?

A percentage point is the arithmetic difference between two percentages (e.g., going from 10% to 15% is +5 percentage points). A percent change between those same figures is +50% relatively.

Can I use this to calculate GST or VAT?

Yes. To add 18% GST to a price of $100: find 18% of 100 (= $18) and add it to the original. Total = $118. Our tool gives you the tax amount immediately.

How accurate is this percentage calculator?

Results use standard floating-point arithmetic and are accurate to the full precision of the input. The display rounds to 2 decimal places. For practical commercial or academic use this is more than sufficient.

What is a negative percentage change?

When the final value is lower than the initial value, the percentage change is negative — indicating a decrease. For example: from 80 to 60 → −25%.