 Online Calculators

# Discount Calculator

Discount Calculator

List Price = $83.33 Discount Amount =$ 33.33

## Calculator Use

Calculate the list price, discount percentage or sale price given the other two values. You will also find the discount savings amount.

### Calculate Discount from List Price and Sale Price

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

$$D = \dfrac{(L - S)}{L} \times 100$$

Where:

• L = List Price
• S = Sale Price
• D = Discount percentage

#### Example

If the list price of an item is $120 and the final sale price is$90 then discount is calculated as follows:

$$D = \dfrac{(L - S)}{L} \times 100$$
$$D = \dfrac{(120 - 90)}{120} \times 100$$
$$D = \dfrac{30}{120} \times 100$$
$$D = 0.25 \times 100$$
$$D = 25\%$$
$$\text{Amount Saved} = 120 - 90 = 30$$

### Calculate Sale Price from List Price and Discount

The sale price is the list price minus the product of the discount divided by 100 and multiplied by the list price.

$$S = L - \dfrac{D}{100} \times L$$

If the list price of an item is $120 and discount is 75% then the final sale price is calculated as follows: $$S = L - \dfrac{D}{100} \times L$$ $$S = 120 - \dfrac{75\%}{100} \times 120$$ $$S = 120 - 0.75 \times 120$$ $$S = 120 - 90$$ $$S = 30$$ $$\text{Amount Saved} = 120 - 30 = 90$$ ### Calculate List Price from Discount and Sale Price The list price is the sale price divided by the difference of 1 minus the result of discount divided by 100. $$L = \dfrac{S}{(1 - \dfrac{D}{100})}$$ #### Example If the sale price of an item is$40 and the discount is 20% then the list price is calculated as follows:

$$L = \dfrac{S}{(1 - \dfrac{D}{100})}$$
$$L = \dfrac{40}{(1 - \dfrac{20\%}{100})}$$
$$L = \dfrac{40}{(1 - 0.20)}$$
$$L = \dfrac{40}{0.80}$$
$$L = 50$$
$$\text{Amount Saved} = 50 - 40 = 10$$

### Sample Discount Percentage Calculation

James bought a vintage lava lamp at a sale price of $89.63. The original price was$165.99. What was the percentage discount on the original price of the lava lamp?

Using the formula above, list price = L = 165.99, and price sale = P = 89.63.

$$\dfrac{(165.99 - 89.63)}{165.99} \times 100 = 46$$

James got a 46% discount on the lava lamp.

Cite this content, page or calculator as:

Furey, Edward "Discount Calculator" at https://www.calculatorsoup.com/calculators/financial/discount-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators