# Working out 1% of a Number?

Working out 1% of a Number?

Imagine you went shopping and discovered that vegetables were in the sale. On all purchases, the seller offers you a 5 per cent discount. It implies that you will receive a 5 per cent discount off of your entire purchase, but how do you determine which items will make up that 5 per cent? You might find this confusing, but it's really quite simple and easy. Finding the 1 per cent of that will allow you to quickly determine the 5 per cent discount you will receive.

## Determine Percentages

in this article, you will understand how percentages work and how to calculate the percentage of any number in order to calculate 1 per cent. A number divided into 100 parts is called a percentage. Take the case where you have a huge cake and 100 guests. You must divide the enormous cake into 100 pieces. In essence, each guest will receive 1% of the cake. That was fairly simple to figure out, but what if you have a big cake and 50 guests? What portion of the cake will each guest consume? There are two ways to fix it: the traditional way and the quick way. Don't worry; we'll talk about both. The conventional method is a fantastic way to explain the idea of percentage. Even though it takes a little time, it is worthwhile. Although the quick way is very quick, there isn't much learning about percentage in it, as the words in the sentence indicate. The formula for calculating percentage is given below:

## Calculator for percentages

Let's use this formula to determine how much of the cake each visitor will receive.

Percentage per cent equals frac 1 50 multiplied by 100

2 per cent is the percentage.

There are 50 guests in total, and there is only one cake. The numerator will be the cake they will receive, and the denominator will be the total number of guests. The numerator and denominator are the foundation of the entire game. Normally, a percentage never goes above 100%, but in the case of profit-loss, you can see percentages going above 100%. For the sake of clarity, let's use another example. You recently received your results and are eager to determine what percentage represents the entire result. Overall, you received a score of 640 out of 800.

Percentage equals frac times 100 times 640 times 800.

80 per cent is the percentage.

Your exam score was 80% out of 100%, which is a pretty good showing, don't you think? Your result percentage was 80%. Finding a percentage of any number should be done in this manner. Let's discuss the quick solution everyone has been waiting for. The short cut is to find the one per cent of the total number and then multiply it by the obtained portion to get the percentage of any number. Yes, 1% of the given number was also needed for the shortcut.

## Calculating a number's 1 per cent

It is very simple to determine 1 per cent of any number. Resuming our exam example, the first step is to identify 1% of the total amount. A fraction of one per cent is one hundredth of any number. To use the shortcut method, you must memorise this. If you were asked to find the 1 per cent of 530, for instance, you would multiply 1 per cent by 100 times 200 to get 2 as your answer. Another shortcut is to simply remove two zeros from the right side, as we did above, rather than entering the information into your calculator, which would take time. What if there were other numbers like 540, 324, or 132487 instead of zero? It's simple; just start from the right side and move the decimal to the left of the second number. If the number is in decimal, you must, however, add two zeros to the end of the decimal. In light of this, the 1 per cent of 540, 324, and 132487 will be as follows: There is no hard-and-fast rule governing this; if you choose not to use a calculator, use the trick we demonstrated instead. B

Let's return to the shortcut method for calculating the percentage of any number.

Method for Quickly Calculating Percentages

Calculating one per cent of the total was the first step. The next step is simple; multiply it by the information provided. Find the 1 per cent of the total marks, which in the case of the exam is 8, and then divide the resultant by the 1 per cent of the total marks:

80 per cent is equal to frac 640 8.

Isn't that pretty easy? Remember that this method only works to determine the percentage of any given number; if you are asked to determine the obtained number or total number after being given the percentage, a different technique will be used. For better understanding, let's use another example: what would the percentage of 85 be if the total number was 231? Find 2.31, which is 1 per cent of the total number 231, as the first step.

frac { 231 }{ 100 } = 2.31

Currently, you must divide 85 by 1% of the total number, which equals 2.31.

Frac 85 2.31, or roughly 36.80 percent

Using the percentage formula, let's attempt a comparison with the original approach:

Percentage is equal to frac (85, 231) times 100.

approximately 36.80 per cent

Eureka! Both are identical! That's a pretty quick approach, right? There are only two steps, and both are so easy that you don't even need a calculator. Divide the number you are given by the 1 per cent of the total number after finding the 1 per cent of the total number. What if you were required to calculate the percentage of 231 that is 5? Let's examine it. Finding the first per cent of the total number, which is 2.31 frac 231 100 = 2.31, is the first step, which you may have gotten by now.

Since you are given the percentage and asked to determine the number that equals 5% of the total number of 231, you will multiply 5% by the number that equals 1% of the total number.

5 times 2.31 = 11.55

As a result, 11.55 is the percentage of 231 that is 5. Why not add up the results and share them with us in the comment section?

## Conclusion

Let's get right to the point: we are all busy in our daily lives looking for quick fixes for every issue. To assist our readers in finding solutions to their problems, we created this post. You can now quickly determine the discount percentage you see in various stores. Let's solve that final example, while we're on the subject of discount percentage, and then call it a day. You purchased the vegetables for a total of 42 euros; the store was giving you a 5 per cent discount. So, how much did you give the cashier? Since you are receiving a 5 per cent discount, the 1 per cent of the total amount is 0.42, and 0.42 multiplied by 5 equals 2.1. The amount of your 5% discount is €2.1. We discovered the discount, but we still don't know how much you paid the cashier, so this isn't over yet. Let's deduct the discount from the total amount billed. 42 - 2.1 = 39.9 euros as a result. You gave the cashier 39.9 euros in total. See! Calculators are not needed! You can now keep track of your finances.

##### Shahid Lakha

Shahid Lakha is a seasoned educational consultant with a rich history in the independent education sector and EdTech. With a solid background in Physics, Shahid has cultivated a career that spans tutoring, consulting, and entrepreneurship. As an Educational Consultant at Spires Online Tutoring since October 2016, he has been instrumental in fostering educational excellence in the online tutoring space. Shahid is also the founder and director of Specialist Science Tutors, a tutoring agency based in West London, where he has successfully managed various facets of the business, including marketing, web design, and client relationships. His dedication to education is further evidenced by his role as a self-employed tutor, where he has been teaching Maths, Physics, and Engineering to students up to university level since September 2011. Shahid holds a Master of Science in Photon Science from the University of Manchester and a Bachelor of Science in Physics from the University of Bath.