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Percents

In a batch of eggs, 3% were broken. There were 18 broken eggs. How many eggs were there in the batch?

Answers
Try to work out what 1% would be and then multiply by 100 to get your answer! In this case 18 divided by 3 makes 1% = 6. Now multiply 6 by a hundred! 
Dave W.
25 February 2016
let initially batch contain 100 egg. then 3% break i.e 3% of 100 =3if 3 egg broken then total egg=1001 egg broken then total egg=100/3if 18 egg broken then total egg= 100/3*18=600 egg.
pankaj_sharma
25 February 2016
This problem means :3% (3 out of 100) eggs are broken and that represents 18 eggs out of the total number of eggs (unknown).Therefore mathematically 3/100 = 18/?Applying knowledge in equivalent fractions3 changes to 18 by multiplying it by 6 so....                                                  100 changes in the same way(multiplying by 6) ____100x6=600In conclusion total of eggs represented by 100% is 600 in number. 
Bridget O.
25 February 2016
If 18 =  3%, then 6 = 1% (18/3). (We need to workout what 1% is in order to work out 100%).6x100 = 600. (This  = 100%). So there were 600 eggs in the basket to begin with.
Charlotte H.
25 February 2016
x - 100%1% - 6 eggs6*100=600Answer: 600 eggs
Adelie G.
25 February 2016
From the question, we know that 3% equals 18 broken eggs. Now we have to find out the 1% of the batch. I know that 1% of the batch is 6 eggs (18 divided by 3 is 6 and 6 is the 1%). If we times 6 by 100, we know that the batch has 600 eggs in it altogether.
Charlotte J.
25 February 2016
All these questions involving percentages, can be solved using a very simple rule with the same format.1.Set up two equations, percentages on one side and the other object in the other (in this case eggs)3%=18 eggs100%= x eggs2. We perform cross multiplication, and divide by what's left to obtain x(100x18)/3= 600 eggs in the batch
Jesus A.
29 February 2016
We know that 3% = 18 eggs Find what 1% is first = 18 divide by 3 = 61% = 6 therefore, 100% ( the whole amount) is 6 x 100 = 600 altogether in the batch. 
Andriana T.
01 March 2016
So the 3% is 18 eggs. Easiest step is too find 1%, divide the 3% by three 18 divided by 3 = 6So 1% is 6. Now find 10% so times 6 by 10 = 60So 10% is 60. Now to find out how many were in the batch times the 10% by 10 again, which will the equal 600 eggs.
liam_collins
02 March 2016
3% is the same as saying 3/100. 3/100 (i.e. "3 divided by 100") = 0.03To find 3% of a number, you multiply that number by 0.03Let's call the original number of eggs "n". We know that 3% of the number n = 18. We can write this as follows...0.03 x n = 18or as0.03n = 18To find out what "n" is, we can move the 0.03 across to the other side, but this time we have to divide instead of multiply. Son = 18/0.0318 divided by 0.03 = 600. So there were 600 eggs to begin with.
Jason F.
03 March 2016
First (and easiest) step is to find 1%. We know 3%= 18 eggs, so to find 1% we do 18 divided by 3= 6So 1%=6 eggs, therefore 100%= 6x100.The answer is 600 eggs in the batch
Amy W.
03 March 2016
18 divided by 3% = 6, so 1% is 6 eggswhole batch or 100% = 6 x 100 = 600 eggs
svetlapopova
06 March 2016
Let there were  a eggs 3% of y =3 divided by 100 x a             = 3/100 x a     ------(1)if 3% equals to 18 then (1) becomes18= 3/100 x a 1800=3aa= 1800/3a=600So there were 600 eggs in the batch.
syedbahi
17 March 2016
18 eggs is 3%. 18/3 = 6 = 1%. If 1% is 6, 100% is 600 (100*6)There were thus 600 eggs in the batch.
Rob O.
28 March 2016
To find out 1% we would do 18/3 = 6. To find 100% we do 6*100 = 600. This is because 1*100 gives us 100% Therefore we have 600 eggs in the batch.
caroline96
08 April 2016
18/3 x 100 = 600(100% of the eggs)or simplify that and just do 18/0.03 = 600(100% of the eggs)
Jake B.
28 April 2016
18 eggs = 3% of the total eggs. To find 1% we divide by 3.18/3 =6, so 1% of the total eggs = 6 eggs. To find the total number of eggs (100%) we multiply 6 by 100. 6*100 = 600. So the total number of eggs in the batch was 600. When working with percentages it is always useful and easier if we know what 1% of your total is. Best wishes,Ryan. 
Ryan M.
14 June 2016
Hi!We were told 18 eggs were broken, and also that this is 3% of the number of eggs.We can start by finding what one percent would be: If 3% is 18 eggs, 1% will be 6 eggs - (As 3% divided by 3 is 1%, you would then divide the 18 eggs by 3, which gives 6 eggs)We now know 1% of the broken eggs is 6 eggs. We want to find the number of eggs in the whole batch, which is 100%. We therefore multiply the 6 eggs by 100 to give 600 eggs broken in total.Hope this helps!
Sandra S.
28 November 2016
Let total number of eggs be x.So, 3% of x were broken and there were 18 broken eggs.We can write this as: 0.03*x =18x=18/0.03x= 600 eggs (answer).
moushitamahmud
01 April 2017
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Similar questions

How to calculate 1% of a number

Let's say you went shopping and you saw that there is a discount on vegetables. The seller provides you 5% discount on all sales. It means whatever you will buy, you will get a 5% discount on the total amount, but, how do you know what would be the 5% of your items? This might be confusing for you, however, it is very easy and simple. All you need to do is to find the 1% of that and you can easily find the 5% discount that you will be getting.

Calculating Percentages

In order to calculate 1%, you need to know how percentage works and how to calculate the percentage of any number. Percentage means a number divided into 100 parts. For example, you have a huge cake and you have 100 guests. You need to divide that huge cake into 100 parts. Basically, every guest is getting 1% of the cake. That was pretty easy to calculate but what if, you have a huge cake and you have 50 guests? How much percent of the cake will each guest will be having? There are two ways to solve it, the old-fashion way and the quick way, we will discuss both ways, don't worry. The old-fashion way provides a great explanation for the concept of percentage. It might be a little bit time-consuming but it is worth it. As the words tell you, the quick way is very quick but there is not much learning about percentage in it. Below is the formula for finding percentage:

Formula to find percentage

Let's use this formula to find the percentage of the cake that each guest will get.

Percentage \% = \frac { 1 }{ 50 } \times 100

Percentage = 2 \%

The total number of guests is 50 and of course, you have one cake. The cake they will obtain will be in the numerator while the total number of guests will be in the denominator. The whole game is based on the numerator and denominator. Usually, a percentage never exceeds 100%, however, in profit-loss case, you can see percentages exceeding 100%. Let's do another example for better clarity. You just got your result and you are eager to find the percentage of the whole result. You scored a total number of 640 out of 800.

Percentage \% = \frac { 640 }{ 800 } \times 100

Percentage = 80 \%

Your result percentage is 80% which means you scored 80% out of 100% in your exams, that is pretty good, right? This is the right way to find the percentage of any number. Let's talk about the quick method that you all have been waiting for. Here is the shortcut, to find the percentage of any number, you need to find the 1% of the total number and then multiply it with the obtained part. Yes, the short-cut also required 1% of the given number.

Calculating the 1% of a Number

Finding 1% of any number is very easy. Let's take back our exam example, the first step is to find 1% of the total number. 1% means \frac { 1 }{ 100 } of any number. You need to memorize this thing to use the short-cut method. For example, you are asked to find the 1% of 530, it would be, \frac { 1 }{ 100 } \times 200 that would be 2. Here is another shortcut, instead of putting this in your calculator that will consume time, just remove two zeros from the right side as we did above. What if, instead of zero, there are other numbers such as 540, 324, or 132487? Easy, just place the decimal on the left of the second number starting from the right side. However, if the number is in decimal then you need to add two zeros after the decimal. Therefore, the 1% of 540, 324, and 132487 will be: 1% if 540, 324, and 132487 There is no hard and fast rule for this, you can use the calculator if you want but if you don't want to use the calculator then we showed you the trick. Below is a table that contains numbers and their 1%, why don't you try to find their 1% and then tally your answers with the second row?

Number1% of the Number
50.05
150.15
1251.25
150015
350035
1258101258.10
46001460.01
18015230180152.30
1004851004.85
185600518560.05
1231001231.00
65823658.23
55813558.13
85599855.99
391615039161.50
4185664185.66
89991899.91
9781109781.10
0.0010.00001
0.0015890.00001589
0.01896660.000189666
0.15990010.001599001
0.01440010.000144001
0.00140010.000014001
Now, let's get back to finding the percentage of any number using the short-cut way.

Short-cut of Calculating Percentage

The first step was to calculate 1% of the total number. The next is straightforward, multiply it with the given information. For the case of the exam percentage, find the 1% of total marks which is 8 now divide the obtained number by the 1% of the total marks:

Percentage = \frac { 640 }{ 8 } = 80 \%

Pretty simple right? Do remember, this technique is to find the percentage of any number, however, if you are given the percentage and asked to find the obtained number or total number then a different method will be used. Let's do another example for better clarification, what would be the percentage of 85 if the total number is 231. The first step is to find 1% of the total number 231 which is 2.31.

\frac { 231 }{ 100 } = 2.31

Now you need to divide the number 85 by 1% of the total number, which is 2.31.

\frac { 85 }{ 2.31 } \approx 36.80 \%

Let's try to compare it with the original method, using the percentage formula:

Percentage \% = \frac { 85 }{ 231 } \times 100

Percentage \approx 36.80 \%

Eureka! Both are the same! Pretty fast-forward method, right? Just two steps and they both are so simple that you don't even require a calculator. Just find the 1% of the total number and then divide the number you are provided by the 1% of the total number. What if, you are asked to find the 5% of the number 231? Let's look at it. The first step, you might have gotten it now, find the 1% of the total number which is 2.31

\frac { 231 }{ 100 } = 2.31

Since you are given the percentage, you are asked to find the number which is equal to the 5% of the number 231, you will multiply the 5% with the number that is equal to the 1% of the total number.

5 \times 2.31 = 11.55

Therefore, 11.55 is the 5% of the number 231. Why don't you tally the answer and let us know in the comment section what you found?

Conclusion

Let's get it to the point, we all are busy in our lives finding shortcuts to every problem. That is why we came up with this post to help our readers to solve their problems. From now on, you can easily calculate the discount percentage that you see in different stores. Speaking about discount percentage, let's solve that last example and then call it a day. You went to the shop and bought the vegetables and the total cost is42 \euro, you were getting a 5% discount from that store. So, what is the amount you paid to the cashier? The 1% of the total amount is 0.42 and since you are getting 5% discount that means 0.42 \times 5 = 2.1. Your 5% discount is 2.1 \euro! This isn't over, we found the discount but we still don't know how much you paid to the cashier? Let's subtract the discount from your total billing. Therefore, 42 - 2.1 = 39.9 \euro. In conclusion, you paid 39.9 \euro to the cashier! See! No calculator is required! And now you keep track of your money.