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Percentage Calculator

PERCENTAGE CALCULATORINSTANT RESULTS

Quickly calculate percentages, percentage change, discounts, increases, decreases and reverse percentages with accurate results.

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What is X% of Y?

Formula: X ÷ 100 × Y
%
of
QUICK PRESETS:
CALCULATED RESULT
50
25% of 200 is 50
HOW IT'S CALCULATED:
X ÷ 100 × Y
25 ÷ 100 × 200 = 50
PERCENTAGE VISUALIZER25%
CALCULATOR SETTINGS
POPULAR CALCULATIONS (CLICK TO LOAD)
MORE PERCENTAGE CALCULATORSRemaining, Points Diff, Tip, Markup, Profit & Grade
RECENT CALCULATIONS
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PERCENTAGE FORMULA CHEAT SHEET
Percentage of NumberX ÷ 100 × Y25% of 200 = 25 ÷ 100 × 200 = 50
Percentage (Part/Whole)(Part ÷ Whole) × 10025 of 200 = (25 ÷ 200) × 100 = 12.5%
Percentage Change((New − Original) ÷ Original) × 100100 to 125 = ((125 − 100) ÷ 100) × 100 = +25%
Percentage Difference|A − B| ÷ ((A + B) ÷ 2) × 100|100 − 120| ÷ 110 × 100 = 18.18%
Percentage IncreaseOriginal × (1 + Percentage ÷ 100)100 + 20% = 100 × 1.20 = 120
Percentage DecreaseOriginal × (1 − Percentage ÷ 100)100 − 20% = 100 × 0.80 = 80
Reverse DiscountFinal ÷ (1 − Discount ÷ 100)$80 with 20% off = 80 ÷ 0.80 = $100
Reverse IncreaseFinal ÷ (1 + Increase ÷ 100)$120 with 20% inc = 120 ÷ 1.20 = $100
Profit Percentage(Selling − Cost) ÷ Cost × 100Cost $100, Sell $125 = (25 ÷ 100) × 100 = 25%
Tip CalculationBill × (Tip % ÷ 100)$100 bill with 15% tip = $15 tip ($115 total)
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Percentage Calculator Guide

Learn how to calculate percentages, percentage increases, percentage decreases, discounts, percentage changes and other common percentage problems.

01

What Is a Percentage?

A percentage is a dimensionless ratio expressing a fraction of 100. The word comes from Latin 'per centum', meaning 'by the hundred'. 25% represents 25 parts out of 100, or the decimal fraction 0.25.

02

How to Calculate a Percentage

To calculate what percentage one number is of another, divide the part by the total whole and multiply by 100: (Part ÷ Whole) × 100. For example, 15 out of 60 is (15 ÷ 60) × 100 = 25%.

03

How to Calculate X% of a Number

Multiply the total number by the percentage converted to decimal: X ÷ 100 × Y. To find 20% of $450, calculate 0.20 × 450 = $90.

04

How to Find What Percentage One Number Is of Another

Treat the comparison as a fraction. If you scored 42 points out of 50 on an exam, divide 42 by 50 to get 0.84, then multiply by 100 to get 84%.

05

How to Calculate Percentage Increase

To calculate percentage increase, subtract the original value from the new value, divide by the original, and multiply by 100: ((New − Original) ÷ Original) × 100.

06

How to Calculate Percentage Decrease

Calculate the reduction amount, divide it by the original starting value, and multiply by 100. If traffic drops from 1,000 visitors to 800, the decrease is ((800 − 1000) ÷ 1000) × 100 = −20%.

07

How to Calculate Percentage Change

Percentage change conveys chronological growth or contraction. A positive result denotes an increase (+15%), whereas a negative result denotes a contraction (−10%).

08

How to Calculate Percentage Difference

Used when two values have no chronological order: divide the absolute difference by their arithmetic mean: |A − B| ÷ ((A + B) ÷ 2) × 100.

09

How to Calculate a Discount

Multiply the sticker price by the discount decimal. A 30% discount on a $120 jacket saves $36 (120 × 0.30), leaving a final sale price of $84.

10

How to Calculate Original Price After Discount

Divide the sale price by (1 − discount rate): Original = Sale ÷ (1 − Discount ÷ 100). If an item costs $60 after a 25% discount, original price was 60 ÷ 0.75 = $80.

11

How to Calculate Markup

Markup is the percentage added to wholesale cost to determine retail price: Cost × (1 + Markup ÷ 100). An item costing $50 with 40% markup sells for $70.

12

How to Calculate Profit Percentage

Profit percentage compares profit to cost: (Selling Price − Cost) ÷ Cost × 100. Buying at $80 and selling at $100 yields a 25% profit.

13

How to Calculate Loss Percentage

When selling below cost, calculate loss divided by cost: (Cost − Selling) ÷ Cost × 100. Buying at $100 and liquidating at $70 yields a 30% loss.

14

How to Calculate a Tip

Multiply the pre-tax or post-tax meal bill by the desired gratuity percentage (15%, 18%, or 20%), then divide the total bill among diners to split costs.

15

How to Calculate Percentage of Total

Used in budgeting: divide an expenditure category by your total income and multiply by 100 to determine its percentage share of the total pie.

16

How to Calculate Percentage Remaining

Subtract the used portion from the total: Remaining % = (Total − Used) ÷ Total × 100. If you used 45 GB of a 100 GB plan, 55% remains.

17

Percentage Points vs Percentage Change

A jump from 10% to 15% is an increase of 5 percentage points, but a 50% relative increase. Confusing these two concepts is one of the most common statistical errors.

18

How to Calculate Exam Percentage

Divide total points earned across all questions by the total maximum possible score on the exam and multiply by 100.

19

How to Calculate Grade Percentage

Weighted course grades multiply each assignment category score by its syllabus weight percentage, summing the products to compute the final letter grade.

20

How to Calculate Salary Increase Percentage

Subtract your old salary from your new salary, divide by the old salary, and multiply by 100. A raise from $60,000 to $66,000 represents a 10% salary increase.

21

How to Calculate Price Increase

Monitor inflation and supplier adjustments: calculate ((New Price − Old Price) ÷ Old Price) × 100 to track price volatility.

22

How to Calculate Tax Percentage

Determine effective tax rates: divide total tax paid by gross taxable income and multiply by 100 to evaluate your true tax bracket impact.

23

How to Calculate a Reverse Percentage

Reverse percentages invert forward arithmetic. If a final price already includes 8% sales tax, divide by 1.08 to find the original pre-tax price.

24

How to Calculate Percentage from Two Values

Compare baseline benchmarks directly: determine the quotient of the two numbers and format the resulting ratio as a standard percentage.

25

Common Percentage Calculation Mistakes

Common mistakes include confusing percentage points with percent change, adding successive discounts directly (20% off + 20% off is not 40% off), and dividing by the wrong denominator.

Frequently Asked Questions

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