# Use Our Percent Calculator Collection

We offer a free suite of fast & easy-to-use online tools to calculate percentages. Instructions for using all calculators appears at the bottom of the page.

## Usage instructions

Select from the calculators below to quickly solve your percentage problems. The calculations help you find

- what a selected percent of a number is,
- what percent of a number another number represents,
- the percent change between two numbers,
- price with sales tax,
- price with VAT and duty free price
- sale price of a discounted item
- convert decimal to percentage
- convert percent to decimal
- convert fraction to percent

Descriptions of each & the associated formulas are shared below.

## Percentage Of

### X% of Y = Z

**Formula:** X% * Y / 100 = Z

where

- X = some percent
- Y = the number you want to figure a percentage of
- Z = the final number associated with X percent of Y

Example use cases:

**splitting a bill:**50% for 2 people, 33.33% for 3, 25% for 4, 20% for 5**adding a tip:**typically around 10% to 20%, depending on the service and location

## What Percent?

### Y is Z% of X

**Formula:** 100 * X / Y = Z%

where

- X = the original number
- Y = the number you want to see expressed as a percentage of X
- Z = the percentage of X that Y represents

Example use cases:

- figure how many questions you can get wrong on an exam and still have a passing grade
- know how many units of work you need to do in order to do your fair share

## Percent Change

### X to Y is Z% change

**Formula:** 100 * (Y - X) / X = Z%

where

- X = original number
- Y = final resulting number
- Z = percent change between X and Y

Example use cases:

- project changes in sales or profits for a business
- verify discount percentages on items which are allegedly on sale

## Price With Sales Tax

### Y% sales tax added to $X = $Z

**Sales Tax Formula: **Y% * $X / 100 = $Z

where

- X = retail price excluding sales tax
- Y = sales tax %
- Z = sales tax amount

**Total Price Formula:** $X * (1 + (Y%/100) = $Z

where

- X = retail price excluding sales tax
- Y = sales tax %
- Z = price inclusive of sales tax

## VAT Calculator

### $X - Y% VAT = $Z

**VAT Exempt Pricing Formula:** $X * ((100 - Y%) / 100) = $Z

where

- X = final price
- Y = VAT %
- Z = VAT exempt price

**VAT Formula:** $X * (1 - (1 - Y%/100)) = $Z

where

- X = final price
- Y = VAT % as a decimal
- Z = VAT amount

## Discounted Price

### Y% off of $X = $Z

**Discount Price Forumla:** (X% / 100) * Y = Z

where

- X = percent off, in percent
- Y = original retial price
- Z = sale price

**Discount Amount Formula:** Y * (100 - X%) / 100 = Z

where

- X = percent off, in percent
- Y = original retial price
- Z = discount amount

## Decimal to Percent

### X is Y%

**Decimal to Percent Forumla:** X * 100 = Y

where

- X = a whole number or a decimal
- Y = percent

**Examples:**

- (0.012 * 100) = 1.2%
- (0.12 * 100) = 12%
- (1 * 100) = 100%
- (3.248 * 100) = 324.8%

## Percent to Decimal

### X is Y%

**Percentage to Decimal Forumla:** X / 100 = Y

where

- X = percent
- Y = a whole number or a decimal

**Examples:**

- 1.2% / 100 = 0.012
- 12% / 100 = 0.12
- 100% / 100 = 1
- 324.8% / 100 = 3.248

## Fraction to Percent

### A + X/Y is Z%

**Fraction to Percent Forumla:**100 *(A + (X / Y)) = z

where

- A = a whole number or decimal
- X = numerator
- Y = denominator
- Z = percent

**Examples:**

- 3 + 5/8 = 362.5%
- 5/8 = 62.5%