How to Calculate Percentage — Free Online Calculator

Calculate percentage of a number, percentage increase, percentage decrease, percentage change, and more. Results update as you type — with the formula worked out step by step.

Percentage of a Number

Find what X% of any number is.

What is% of?
Percentage
105075100150200
Number
25100150200300400500

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Calculate Percentage Using Division

Find what percentage one number is of another.

is what percent of?
Part
0255075100150200250
Whole
050100150200300400500

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Percentage Change

Percentage increase or decrease between two values.

Fromto
Starting value
0255075100120150200250
Ending value
0255075100150200250

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Percentage Increase or Decrease

Apply a percentage increase or decrease to a number.

by%
Number
2580150200300500
Percentage
105075100%150200

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Discount Calculator

Final price and savings after a discount.

Pricewith% off
Original price
1050100150200300500
Discount percentage
51525405075

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Tip Calculator

Tip amount, total bill, and split per person.

Billwith% tip, split by
Bill amount
2075150200300500
Tip percentage
1015202530
Number of people
1358101520

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How to Calculate Percentage — The Complete Guide

Understanding how to calculate percentage is one of the most practical math skills you can have. Whether you are figuring out a discount while shopping, analyzing data at work, or checking your exam score, percentages are everywhere. This free online percentage calculator gives you instant answers with step-by-step solutions so you can learn the method while getting your result.

How to Calculate Percentage of a Number

To understand how to calculate percentage of a number, you only need one simple formula: divide the percentage by 100, then multiply by the number. For example, to find 25% of 200, you compute 200 × 0.25 = 50. This method works for any combination — whether you need 8% of 550 or 73% of 1,240. Our "Percentage of a Number" calculator above handles this instantly, and it is also the foundation for learning how to calculate percentage of money. When you see a 20% service charge on a $85 bill, simply multiply 85 × 0.20 to get $17.

How to Calculate Percentage Increase and Decrease

Knowing how to calculate percentage increase helps you measure growth — in salary, stock prices, or any value that changes over time. The formula is straightforward: subtract the old value from the new value, divide by the old value, and multiply by 100. If your rent went from $1,400 to $1,550, the increase is (1550 − 1400) ÷ 1400 × 100 = 10.71%. The same logic applies when you need to know how to calculate percentage decrease. If a product price drops from $80 to $68, the decrease is (80 − 68) ÷ 80 × 100 = 15%. A positive result means an increase; a negative result means a decrease.

How to Calculate Percentage Change and Difference

How to calculate percentage change is essentially the same as calculating increase or decrease — it is the relative change between an old and new value expressed as a percentage. Percentage change has direction: it tells you whether something went up or down. In contrast, how to calculate percentage difference compares two values of equal standing against their average. The formula is |A − B| ÷ ((A + B) ÷ 2) × 100. For instance, comparing test scores of 72 and 88 gives a percentage difference of |72 − 88| ÷ 80 × 100 = 20%. This is useful when neither value is the "original."

How to Calculate Percentage Using Division

If you want to know how to calculate percentage using division, the core idea is simple: divide the part by the whole. Scored 42 out of 60 on a test? Divide 42 by 60 to get 0.70, then multiply by 100 to get 70%. This division-based approach is the most fundamental way to convert any ratio into a percentage, and it works everywhere — from academic grading to business analytics.

How to Calculate Percentage Error

How to calculate percentage error is essential in science and engineering. The formula is |Experimental Value − Theoretical Value| ÷ |Theoretical Value| × 100. If you measured a boiling point as 99.1°C and the accepted value is 100°C, your percentage error is |99.1 − 100| ÷ 100 × 100 = 0.9%. This tells you how far off your measurement is from the true value, expressed as a percentage.

How to Calculate Percentage in Excel

Many people search for how to calculate percentage in Excel because spreadsheets are where most real-world percentage work happens. In Excel, you can calculate a percentage of a number with a formula like =A1*25% or =A1*0.25. For percentage change between cells, use =(B1-A1)/A1 and format the cell as a percentage. The formulas used by our calculators above are exactly the same ones you would type into a spreadsheet — so you can practice here and apply the same logic in Excel.

All calculations on this site run entirely in your browser. Nothing is sent to a server, and your calculation history stays on your device. Bookmark this page for quick access the next time you need to calculate a percentage — whether it is a tip at dinner, a discount while shopping, an exam grade, or a data analysis task at work.

FAQ

Frequently asked questions.

How to calculate percentage of a number?

To calculate percentage of a number, divide the percentage by 100 to convert it to a decimal, then multiply by the number. For example, 25% of 200 is 200 × 0.25 = 50. This works for any percentage and any number.

How to calculate percentage increase?

To calculate percentage increase, subtract the old value from the new value, divide the result by the old value, and multiply by 100. For example, going from 120 to 150 is (150 − 120) ÷ 120 × 100 = 25% increase.

How to calculate percentage decrease?

To calculate percentage decrease, subtract the new value from the old value, divide by the old value, and multiply by 100. For example, a price drop from $80 to $68 is (80 − 68) ÷ 80 × 100 = 15% decrease.

How to calculate percentage change?

Percentage change measures the relative difference between an old and new value. The formula is ((New − Old) ÷ |Old|) × 100. A positive result indicates an increase, while a negative result indicates a decrease.

How to calculate percentage difference?

Percentage difference compares two values of equal standing against their average. The formula is |A − B| ÷ ((A + B) ÷ 2) × 100. Unlike percentage change, it has no direction — the result is always positive.