  # 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

Descriptions of each & the associated formulas are shared below.

## Percentage Of

### X% of Y = Z

What is % of ?

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

is what percent of ?
%

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

What is the percentage increase/decrease
from to ?
%

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

What is the final price with tax
% tax on \$ ?
\$ tax
\$ total

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

What is the price of an item before VAT
% VAT total \$ ?
\$ VAT
\$ before VAT

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

What is the final price of an item on sale
% off \$ ?
\$ off
\$ sale price

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%

Convert decimal to percent
%

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%

Convert percentage to decimal
%

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%

Convert fractions and mixed numbers to percent
& /

%

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%