Percentage Calculator
Use one percentage calculator for 11 common calculations. Find a percentage of a number, determine what percent one number is of another, calculate increase, decrease, change, or difference, and solve discount, markup, markdown, tax, and tip problems.
Result
20% of 150 is 30.
How to Use the Percentage Calculator
Choose the calculation that matches your question, then enter the requested values. The answer updates automatically without a submit button.
The primary result appears first. A formula line shows the exact operation, while the smaller result cards provide supporting values such as savings, tax, profit, change amount, or the per-person total.
Use Reset to clear the current inputs. Your selected calculation type remains available while you work through related percentage problems.
Choose the correct percentage calculation
The correct mode depends on which value is the reference or baseline.
Swipe horizontally to view the full table.
Finding a Percentage of a Number
To find a known percentage of a number, convert the percentage to a decimal and multiply it by the number. Dividing by 100 performs the conversion.
For example, 20% of 250 is 20 ÷ 100 × 250, which equals 50.
This mode can also be used for commissions, interest portions, completion rates, ingredients, attendance, and other situations where a known rate is applied to a total.
Finding What Percent One Number Is of Another
Divide the part by the whole and multiply by 100. The whole is the reference value and therefore appears in the denominator.
For example, 45 correct answers out of 60 gives 45 ÷ 60 × 100 = 75%.
Results can exceed 100%. If the part is larger than the whole, the percentage will be greater than 100%.
Percentage Increase, Decrease, and Change
Percentage increase measures growth relative to the original value. Moving from 80 to 100 is a 25% increase because the increase of 20 is divided by 80.
Percentage decrease measures reduction relative to the original value. Moving from 100 to 80 is a 20% decrease because the reduction of 20 is divided by 100.
The reverse calculations are not equal because they use different reference values. An increase from 80 to 100 is 25%, while a decrease from 100 to 80 is 20%.
Percentage change keeps the sign of the movement. A positive result indicates growth, a negative result indicates decline, and zero indicates no change.
Percent Difference Versus Percentage Change
Use percentage change when one value is clearly the starting or original value.
Use percent difference when the two values are independent measurements and neither should be treated as the baseline.
This calculator defines percent difference as the absolute difference divided by the average of the two absolute magnitudes.
Different technical fields sometimes use a reference value or the larger value instead. Include the formula when reporting a percent difference in formal work.
Percentage Points and Relative Change
When the values are already percentages, direct subtraction produces a difference in percentage points.
A rate rising from 4% to 5% rises by 1 percentage point. Relative to the original 4%, however, the increase is 25%.
Percentage points are commonly used for rates, margins, polling results, market shares, and probabilities. Relative change answers a different question: how large was the movement compared with the starting value?
Percentage points versus relative percentage change
Swipe horizontally to view the full table.
Discount, Markdown, Markup, Tax, and Tip
Discount mode applies a known discount rate and returns both the final price and the amount saved.
Markdown mode starts with an original and current price, then calculates the percentage reduction. If the current price is higher, the result is identified as a price increase instead.
Markup compares profit with cost. It is not the same as profit margin, which compares profit with selling price.
Tax adds the entered rate to a pre-tax amount. Tip adds a gratuity and can divide the total equally among a whole number of people.
Markup, margin, and markdown
The example assumes a cost of 80, a selling price of 100, and an original price of 120 reduced to 90.
Swipe horizontally to view the full table.
Why Consecutive Percentages Do Not Simply Add
Each percentage change is applied to the value produced by the previous change. The reference value therefore changes at every step.
A 10% increase followed by a 10% decrease changes 100 to 110 and then to 99. The final value is 1% below the starting value.
Likewise, 20% off followed by another 15% off produces a total discount of 32%, not 35%.
Examples of consecutive percentage changes
Swipe horizontally to view the full table.
Zero, Negative Values, and Large Percentages
A known percentage of zero can be calculated, but a relative percentage cannot use zero as its denominator.
Percentages can be greater than 100%. Moving from 40 to 100 is a 150% increase because the increase of 60 is 1.5 times the original value.
Negative values can make percentage language difficult to interpret, particularly when a value crosses zero. Financial calculation modes therefore require non-negative amounts.
Quick Ways to Check a Percentage Result
Ten percent is one tenth, 5% is half of 10%, 25% is one quarter, and 50% is one half.
For multiplication, percentages can be exchanged: 16% of 50 equals 50% of 16. The second version may be easier to calculate mentally.
Estimate the expected size of the answer before relying on a precise displayed result.
Privacy and Appropriate Use
The calculator runs entirely in your browser and does not require an account.
Entered amounts are not sent to a server by the calculator or included in a shareable URL.
Financial results are arithmetic estimates. Confirm applicable taxes, fees, legal rules, contractual terms, and required rounding before using them in a real transaction.
Percentage formulas used by the calculator
Each formula uses the reference value appropriate to the selected calculation.
Formula variables
- Percentage rate
- Whole value
- Discount rate
- Tax rate
- Tip rate
- Number of people sharing the total
Examples
Find 20% of 250
1Input
Percentage 20; number 250
Show result
Result
50
20 ÷ 100 × 250 = 50.
Convert a score to a percentage
2Input
Part 45; whole 60
Show result
Result
75%
45 ÷ 60 × 100 = 75%.
Calculate an increase
3Input
Original value 80; new value 100
Show result
Result
25% increase; increase amount 20
Calculate a decrease
4Input
Original value 100; new value 80
Show result
Result
20% decrease; decrease amount 20
Compare two measurements
5Input
First value 80; second value 100
Show result
Result
22.22% difference; absolute difference 20
Calculate markup
6Input
Cost 80; selling price 100
Show result
Result
25% markup; profit amount 20
Markup is calculated from cost.
Apply a discount
7Input
Original price 120; discount 15%
Show result
Result
Final price 102; savings 18
Add tax
8Input
Pre-tax price 80; tax rate 8%
Show result
Result
Total 86.40; tax amount 6.40
Add and split a tip
9Input
Bill 150; tip 18%; 3 people
Show result
Result
Total 177; tip 27; 59 per person
Frequently Asked Questions
How do I calculate a percentage of a number?
Divide the percentage by 100 and multiply by the number. For example, 20% of 250 is 0.20 × 250 = 50.
How do I find what percent one number is of another?
Divide the part by the whole and multiply by 100. For example, 45 out of 60 is 45 ÷ 60 × 100 = 75%.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the increase by the original value, and multiply by 100.
How do I calculate percentage decrease?
Subtract the new value from the original value, divide the reduction by the original value, and multiply by 100.
What is the difference between percentage change and percent difference?
Percentage change uses a starting value as the baseline and preserves direction. Percent difference compares two values symmetrically when neither one is the baseline.
What is a percentage point?
A percentage point is the direct difference between two percentages. Moving from 4% to 5% is an increase of 1 percentage point but a relative increase of 25%.
Can a percentage be greater than 100%?
Yes. A part can be larger than its reference whole, and an increase can be greater than the original value.
Why does reversing a percentage change produce a different result?
The reference value changes. Increasing 80 to 100 is 25%, while decreasing 100 to 80 is 20%.
Why do consecutive discounts not simply add?
Each discount is applied to the price left after the previous discount. A 20% discount followed by 15% off produces a 32% total discount.
What is the difference between markup and margin?
Markup divides profit by cost. Margin divides profit by selling price. The calculator provides markup rather than profit margin.
Can I calculate percentage change from zero?
No. Relative percentage change from zero is undefined because the formula would divide by zero.
Can I use negative numbers?
General percentage modes accept finite values, but negative values can be difficult to interpret when the calculation crosses zero. Financial modes require non-negative amounts.
Can a discount be greater than 100%?
No. Discount mode accepts rates from 0% through 100%. A 100% discount produces a final price of zero.
Does the discount calculation include tax?
No. Discount mode applies only the entered discount. Use Tax mode separately when tax should be added to the discounted amount.
Does the tip calculator split the bill equally?
Yes. It adds the entered tip and divides the final total equally by the entered whole number of people.
Are the displayed results exact?
The calculation uses the entered numeric values. The interface may round the displayed result for readability.
Are my values saved or uploaded?
No. The calculations run locally in the browser, and the tool does not upload the entered values or add them to the page URL.
References
You might also like
Compound Interest Calculator
Project compound growth from an initial investment, recurring contributions, a nominal annual rate, and daily, monthly, quarterly, or yearly compounding.
Loan Calculator
Calculate a fixed-rate monthly loan payment, total interest, payoff date, extra-payment savings, and amortization schedule.
Mortgage Calculator
Estimate fixed-rate mortgage payments, total interest, upfront cash, payoff date, extra-payment savings, and a complete amortization schedule.
Volume Converter
Convert litres, millilitres, cubic units, US liquid units, Imperial units, and clearly labelled cooking cups.