Every time they see a discount in the store, people perceive it as a good offer. However, in order to make the most rational decision, it is sometimes necessary to calculate the percentage of savings. The ability to find out how much a discount is for a particular product can help everyone in everyday life.
The initial cost and discount size in rubles are known
How to calculate how much percent discount if the initial cost and size of the discount are known? In other words, it is necessary to determine by what proportion the price of the product has been reduced.
There are two main methods for calculating percentage discounts.
The first method is easier and more intuitive, but it contains a large number of mathematical actions. This means that if "inconvenient" values are given, there is a greater chance of making a mistake in the calculations. This method is suitable if integer, round numbers are given.
- First you need to calculate how many rubles (or other conventional units) is 1% of the total.
- Next, find out how much the discount is. To do this, divide the savings in rubles by 1%.
For example: a t-shirt cost 500 rubles, during discounts it fell by 100 rubles.
- 500: 100 = 5 (rubles) - 1%.
- 100: 5 = 20% - discount.
Conclusion: savings on purchase amounted to 20 percent.
The second method is probably more difficult to understand, but contains only one action, so the chance of erroneous calculations is minimal. However, if you study this principle, the task of identifying savings will never again cause difficulties.
To get the result, you need to divide the discount amount by the price of the product or item, and then multiply the resulting value by 100%. For example: an egg package cost 60 rubles, and then its price was reduced by 15 rubles.
(15: 60) * 100% = 25%.
Conclusion: savings were 25 percent.
Initial and final cost are known
How to calculate the percentage discount, knowing the initial and final cost? There are two solutions.
Firstly, you can find out the size of the discount by subtracting the final cost from the initial one. Next, solve the problem in the same way as described in the first part of the article.
For example: a t-shirt cost 500 rubles, and now it is sold for 400.
- 500 - 400 = 100 (rubles) - amounted to savings. Next is the solution from the first method.
- 500: 100 = 5 (rubles) - 1%.
- 100: 5 = 20% - discount.
Conclusion: the savings amounted to 20%.
Secondly, you can calculate how many percent of the initial price is the discounted price, and then subtract this value from 100%.
For example: packing eggs cost 60 rubles, and then its price was reduced to 45.
- (45: 60) * 100% = 75%.
- 100% - 75% = 25%.
Conclusion: the discount on the purchase of egg packaging was 25 percent.
Now, when buying, you can calculate the percentage discount.