Percent Off Calculator: Calculate Discounted Prices and Savings

Calculate Discounted Price and Savings

Use this calculator to determine the discounted price of an item and your savings based on the initial price and percent off.

How to Calculate Percent Off

Understanding how to calculate percent off is essential for smart shopping and budgeting. This guide will walk you through the process of calculating discounted prices and savings when given a percent off.

Percent Off Formula

The formula to calculate the discounted price and savings is:

$D i s c o u n t A m o u n t = I n i t i a l P r i c e \times (P e r c e n t O f f \div 100)$

$D i s c o u n t e d P r i c e = I n i t i a l P r i c e - D i s c o u n t A m o u n t$

Where:

$I n i t i a l P r i c e$ is the original price of the item
$P e r c e n t O f f$ is the percentage discount
$D i s c o u n t A m o u n t$ is the amount saved
$D i s c o u n t e d P r i c e$ is the final price after the discount

Calculation Steps

Determine the initial price of the item
Identify the percent off
Convert the percent to a decimal by dividing by 100
Multiply the initial price by the decimal to get the discount amount
Subtract the discount amount from the initial price to get the discounted price

Example Calculation

Let's calculate the discounted price and savings for an item with the following details:

Initial Price: $100
Percent Off: 25%

Step 1: Calculate the discount amount

$D i s c o u n t A m o u n t = $ 100 \times (25 \div 100) = $ 100 \times 0.25 = $ 25$

Step 2: Calculate the discounted price

$D i s c o u n t e d P r i c e = $ 100 - $ 25 = $ 75$

Step 3: Final Result

For an item with an initial price of $100 and a 25% discount:

The discount amount (savings) is $25
The discounted price is $75

Visual Representation

This pie chart illustrates the breakdown of a $100 item with a 25% discount, showing the discounted price and the amount saved.

Percent Off Calculator