# How To Work Out Percentages

Thank you for visiting HowToWorkOutPercentages.org.uk !

This site is a step by step guide to master How to work out percentages  !

On this site you will find lot of examples and easy to understand explanations in text, and video tutorials.

After a short while you should be able to do the following :

How to work out

percentages of any given number

percentages increase or decrease

percentages on a calculator

percentages without a calculator

And much more

In order to master fully these techniques it is vital that you undertake plenty of practice exercises so that they become second nature.Go to this page.

Start by watching this excellent explanation on this video

A percentage is a way of expressing a number as a fraction of a hundred, usually using the % sign.

How to Work Out Percentages ?

This question, which arises very often, is a recurring issue in daily life .Knowing how to work out percentages  will allow you to easily calculate a discount, to calculate the amount of VAT on a product due to its price off-tax or how much your money will earn you in saving account.

In short, we’ll give you a few tips and tricks to help you quickly calculate very easily a percentage in the different situations of everyday life.

A simple explanation is to say that:

A percentage is the fraction 1/100 (1 over 100 or 1 divided by 100) or to take any number and divide it by 100.

‘Percent’ means ‘per 100’. If 80 percent of the population own a car, this means that 80 out of every hundred people own a car. The symbol ‘%’ means ‘percent’.

How to calculate percentages Concept

Example of How to find out Percentages

Let’s watch this video for more insight:

so How do we calculate a percentage

To do this we will take a real life example:

First Example : What percentage of my spending over my initial budget?

I have 50 euros and I decided to spend 17 euros on the purchase of vegetables.

What percentage is this expenditure over my initial budget?

Solution: Nothing complicated,

just divide 17 euros by my initial budget is:

17/50 = 0.34

Then multiply the result by 100 to get a percentage:

0.34 X 100 = 34%

We have therefore used 34% of our total budget.

Second Example: How to find the percentage of my discount?

I buy a car to 9,000 euros after negotiations with the seller, I am happy because the original price was 11,000 euros.

But what is the percentage of my discount?

Solution:

We had therefore  a reduction of:

11000 – 9000 = 2000 euros.

2000/11000 = 0.18 X 100 = 18%

So I got 18% discount

You will then be able  calculate a percentage without worries!

Third Example:  How to calculate a rebate by a trader?

A merchant gives you a 20% discount on a product whose price is 400 €. How do I know what price I will finally pay?

Solution:

For this we assume a 20% discount means that the merchant gives you a € 20 discount for every € 100, in total € 80 discount for a 100 € (400/100 × 20) or (400 × 0.2). To calculate the price you ultimately pay is multiplied by € 400 0.8.

Fourth Example: how to calculate the interest that my savings will make in one year?

Suppose you put € 1,000 at a rate of 2.5% on a savings account. How much interest will this investment earn you 1 year?

Solution :

An annual rate of 2.5% means that you will receive € 2.5 to € 100 per year invested. If you invest € 1000 this investment will bring logically 10 × 2.5 € or 25 €.

If you ever experience some difficulties to work out percentages, do not hesitate to contact us with your questions