Percent Off Calculator

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:

$$DiscountAmount = InitialPrice \times (PercentOff \div 100)$$

$$DiscountedPrice = InitialPrice - DiscountAmount$$

Where:

• $$InitialPrice$$ is the original price of the item
• $$PercentOff$$ is the percentage discount
• $$DiscountAmount$$ is the amount saved
• $$DiscountedPrice$$ is the final price after the discount

Calculation Steps

1. Determine the initial price of the item
2. Identify the percent off
3. Convert the percent to a decimal by dividing by 100
4. Multiply the initial price by the decimal to get the discount amount
5. 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

$$DiscountAmount = $100 \times (25 \div 100) = $100 \times 0.25 = $25$$

Step 2: Calculate the discounted price

$$DiscountedPrice = $100 - $25 = $75$$

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.