Say you buy an item which costs 35.50 after a 22% discount is applied.
- This means that the item only costs 78% of the original price (100% - 22% = 78%).
- So, to find 1% of the original price, you can divide the discounted price by the percent of the original price it represents. So: 35.50/78 = 0.45512821 .
B / ((B/A) x 100) = .01A
- If this number represents 1% of the original price, than multiplying it by 100 will give you the full amount of the original price. So: 0.45512821 x 100 = 45.51.
.01A x 100 = 1A
You can then check your answer by two methods:
- If the original price is 45.51, then you can find 78% of that number by multiplying it by .78: 45.51 x .78 = 35.50.
A x (B/A) = B
- Or, you can find 22% of 45.51 by multiplying it by .22: 45.51 x .22 = 10.01.
A(1 - (B/A)) = C
- Then, you can subtract 10.01 (the amount taken off of the original price as a discount) from the original price to find the discounted price. 45.51 - 10.01 = 35.50.
A - C = B
Discount divided by original price gives you a decimal which you then multiply by 100. This equals percent of discount Eg: $15 discount, $80 original price 15 / 80 = 0.1875 x 100 = 18.75%
If you have only the sale price you cannot find the original price. You need to know the discount rate.
If the discount is D percent and the sale price is S, then the original price was S*100/(100-D)
To take 30 percent off of a price, first convert the percentage to a decimal by dividing by 100, which gives you 0.30. Then, multiply the original price by this decimal to find the discount amount. Subtract the discount from the original price to get the final price after the discount. For example, for an item costing $100, a 30 percent discount would reduce the price by $30, resulting in a final price of $70.
Let x equal the original price. Let's say the sale is 25 percent off. That means that 0.75x = the sale price. To find the original price, divide the sale price by the decimal equivalent of 100 minus the discount. Example: You bought an item for 48.00 that was marked as being 20 percent off the original price. The original price was 48.00 divided by 0.80 or 60.00
Discount = Original Price - Discounted Price Percentage Discount = 100* Discount / Original Price
Discount = Original Price minus Sale price.
Discount divided by original price gives you a decimal which you then multiply by 100. This equals percent of discount Eg: $15 discount, $80 original price 15 / 80 = 0.1875 x 100 = 18.75%
Percentage discount = 100*(1 - sale price/original price)
You need to know the discounted price and either the discount amount or the discount rate. If you know the discount amount: Original Price = Discounted Price + Discount If you know the Discount Rate (percentage discount ): Original Price = 100*Discounted Price / (100 - Discount Rate)
The discount on the coat is $34. To find the percentage discount, you divide the discount ($34) by the original price ($200) and multiply by 100. This gives you a discount of 17%.
If the discounted price is $35, then you must reverse the process to find the original price. The original price would be 38.99 dollars.
If you have only the sale price you cannot find the original price. You need to know the discount rate.
If the discount is D percent and the sale price is S, then the original price was S*100/(100-D)
The answer will depend on what information you do have.
The original price was $104.00
Original Price = Discounted price*100/(100-discount rate) = 3209*100/(100-37) = 3209*100/63 = 5093.65