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What is X Percent of Y Calculator: Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. The percentage calculator, formula, example calculation (show work along with steps), real-world problems with solutions are very helpful for grade school students (K-12 education), and also for common people to learn how to find the percent of some numbers.

The percentage topic is very useful in real-life, for example, to solve problems based on discounts, markup and many more like these. Go through the further sections and get the complete details about what is X% of Y calculator and how to use and how it works in detailed steps. Make use of our free online percentage calculator tool and compute any type of your percent problems easier and faster.

What is X% of Y?

A percentage is a fraction expressed as a part of one hundred, instead of any other denominator. The word “percent”, originally “per centum”, means “by the hundred”. However, the percent is a ratio that compares a number to a hundred. We can also write these fractions in decimals. The symbol to represent the percentage is  % and it is placed after the number. For example, 50% represents 50/100, or 0.5. The result is obtained by multiplying a quantity by a percent.

Formula for X percent of Y

The formula that is given to calculate the x% of y is as follows

X% of Y = (X/100) * Y

where Y is the base.

How to Calculate X Percent of Y?

To determine X percent of a real number Y,

• First, change the percent to a fraction or decimal i.e, 1/100 or 0.01, and then multiply it by Y value.
• Here, the word ‘of’ means multiply.
• Now, convert this statement into an equation using the percentage formula: P% * X = Y.
• Else, Use the formula for X% of Y = (X/100) * Y
• Thereafter, apply the given inputs in X and Y and calculate the X percent of Y.
• Later, you will get the final output value for X% of Y.

To provide better knowledge on how to calculate x percent of y, we have taken an example and solved it in detailed steps in order to understand the concept and work behind every Math calculation. So, look at the real-world problems as an example from here and understand how to calculate the X percent of Y easily without any support.

Solved Real-world Examples to find X% of Y

Example 1: 

America has a sales tax of 19.6 percent. If we purchased a car for $25,000, how much would we pay for the car if we bought it in the USA?

Solution:

Percentage solution with steps:

Step 1: Our output value is 25000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 25000=100%.

Step 4: Similarly, x=19.6%.

Step 5: This results in a pair of simple equations:

1. 25000=100%
2. x=19.6%

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right-hand side) of both
equations have the same unit (%); we have

⇒ 25000o/x = 100%/19.6%

Step 7: Again, the reciprocal of both sides gives

⇒ x/25000 = 19.6/100

⇒ x = 4900

Therefore, 19.6% of 25,000 is 4900.

Example 2: 

There are 30 children in a class. If 20% of the children are absent, how many children are present?

Solution:

First, we need to calculate what is 20% of 30.

For that, take the formula of X percent of Y = X/ 100 * Y

Now, substitute the values in the percentage formula,

= 20 percent * 30

= (20/100) * 30

= (20*30) / 100

= 600 / 100 = 6

Therefore 20% of 30 children is 6.

Now, to determine how many children are present, do 30 – 6 = 24

Hence, children present in a class are 24. 

How to use the Percentage Calculator?

If you are looking for the steps on how the percentage calculator works and determine the X percent of Y then here are the detailed steps for you. If you follow these simple steps then you will understand completely about how to use percentage calculator and make your real-world percentage calculations in less time.

• Percentage Calculator is a free online algebra tool that needs two numbers X and Y as input values to find the X% of Y.
• So, enter values for the X percent and the base Y in the input field. Remember that X value should be a positive real number and Y value should be a real number or parameter.
• After entering the values, you need to press the ‘Calculate’ button to make the computation.
• Later, it generates the output for X% of Y in a fraction of seconds.

FAQs on What is X% of Y Calculator?

1. What is meant by Percentage?

In mathematics, a percentage is a number in the fraction of 100. The representation of percentage is “%”, or simply “pct” or “percent”.

2. What is the formula to calculate X percent of Y?

The percentage formula to determine X% of Y = (X/ 100) * Y.

3. What is 16 percent of 180?

We know that X% of Y = (X/ 100) * Y,

Substitute the value into the equation,

Then, (16/100) * 180 = (16*180) / 100 = 2880 / 100 = 28.8.

Therefore, 16 % of 180 is 28.8.

4. How to use what is X percent of Y calculator? 

All you have to do is enter the variable in both X and Y input fields and then press the Calculate button. That’s it! the output for your required inputs will be displayed on our page along with a detailed explanation in a short time.

Prime Factors of 46

Prime factors of 46 are all the prime numbers when multiplied together equals to 46. Prime factors 0f 46 are those that divide 46 exactly without leaving a remainder as per Euclidean Division.

How to find Prime Factors of 46?

The process of finding Prime Factors is called Prime Factorization of 46. In order to get the Prime factors of 46, divide the number 46 with the smallest prime numbers. Continue the process until you end up with 1.

This Prime Factorization process creates a Prime Factor Tree of 46.

46 ÷ 2 = 23
23 ÷ 23 = 1

All the numbers you used to divide above are the Prime Factors of 46. Thus, the Prime Factors of 46 are 2, 23.

FAQs on Prime Factors

1.  What is Prime Factorization Method?

The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

2. How do you find the prime factors of a number?

Divide the number given with the smallest prime numbers and continue the process until you end up with 1.

3. What are the Prime Factors of 46?

Prime Factors of 46 are 2, 23, and usually expressed as 2*23.

4. What are the Factors of 46?

Factors of 46 are the numbers that can divide 46 and leaves a remainder zero. Factors include 1, 2, 23, 46.

 

Factors of 14 are the integers that you can evenly divide 14.

How to find Factors of 14?

As we know factors of 14 are all the numbers that can exactly divide the number 14 simply divide 14 by all the numbers up to 14 to see the ones that result in zero remainders. Numbers that divide without remainder are factors and in this case below are the factors

14, 7, 2, 1 are the factors and all of them can exactly divide number 14.

Factor Pairs of 14

Factor Pairs are the combination of numbers that when multiplied together equals to 14 and they are as follows

1 × 14 = 14
2 × 7 = 14
7 × 2 = 14
14 × 1 = 14

FAQs on Factors of 14

1.  What are the Factors of 14?

Factors of 14 are the numbers that leave a remainder zero. The ones that can divide 14 exactly i.e. factors are 14, 7, 2, 1.

2. What are Factor Pairs of 14?

Factor Pairs of 14 are

1 × 14 = 14
2 × 7 = 14
7 × 2 = 14
14 × 1 = 14

3. What is meant by Factor Pairs?

Factor Pairs are numbers that when multiplied together will result in a given product.

Factor Tree Calculator is an online tool that displays the factors of a given number. This online handy calculator makes the calculations easy and faster for you. It Displays the fractions in a fraction of seconds.

What is Factor Tree?

Usually, Factors of a number are defined as the numbers which are multiplied together to find the original number. In general Factor Tree is a tool that breaks down numbers into prime numbers. Usually, numbers expressed at the end in a Factor Tree are the prime factors of a given number. For instance, factors of a number 56 are 2*2*2*7.

How to find Factor Tree of a number?

Follow the simple steps prevailing over here to get the Factor Tree and it applies to any nonprime number.

• Firstly, find 2 factors of a number.
• Just have a look at the two factors and determine if at least one of them is not prime.
• If it is not a prime number continue the process further.
• Make sure you do the process until all the numbers are prime.

Once you get the number multiples of prime numbers that is called the Factor Tree.

How to use Factor Tree Calculator?

Step 1: Enter the number in the input field.

Step 2: Click on the button and you will get the factors.

Step 3: Factors will be displayed in the output field.

Let me explain in detail about the Factor Tree by taking some examples so that it would be easy for you to understand the concept. They are as such

Example

Find the Factor Tree of 105?

Solution:

Given number is 105

105
= 3*35
5*7

If we write into multiples it would be 3*35

On splitting 35 further and writing it as multiples of prime numbers it would be 7*5

Altogether expressing the number in terms of prime factors would be 3*5*7.

Factor Tree of 105 is 3*5*7

FAQs on Factor Tree Calculator?

1.  How to find a Factor Tree of numbers?

You can find the Factor Tree of a number easily by simply giving the inputs on our calculator and you will get the output at one go.

2. Where can I get the Factor Tree Concept along with Examples?

You can get all the concepts related to Factor Tree with clear explanation using examples on our page. Get to know the concepts in a much better way using the info on our page.

3. What is meant by Factor Tree of number?

Numbers expressed as the multiplies of prime numbers is called Factor Tree.

NCERT Solutions for Class 10 Hindi Sanchayan संचयन भाग 2

NCERT Solutions for Class 10 Hindi Sanchayan संचयन भाग 2

NCERT Solutions for Class 10 Hindi Sanchayan संचयन भाग 2

• Chapter 1 हरिहर काका
• Chapter 2 सपनों के-से दिन
• Chapter 3 टोपी शुक्ला

Greatest Common Factor (GCF) Calculator is the most excellent handy calculator for calculating GCF!

Factors are the numbers that we can multiply to each other to get one different number like 4 x 5 = 20, here 4 and 5 are factors

It is also possible to have various factors of a number like

4 x 5 = 20, 2 x 10 = 20, 1 x 20 = 20

Factors of 20: 1, 2, 4, 5, 10, and 20

So when we are finding the factors of two numbers like

Factors of 12 of 1, 2, 3, 4, 6, and 12

Factors of 20 of 1, 2, 4, 5, 10, and 20

So here common factors are 1, 2, and 4

A common factor is a factor of two or more numbers.

Greatest Common Factor is just the biggest of the common factors. We can define it as:

The GCF is the greatest positive whole number from the set of a number that divides equally into all numbers with zero remainders.

So here if we are taking the previous example, then the Greatest Common Factor of 12 and 20 is 4.

Then, What is the Greatest Common Factor of 0?

We know that when we multiply any whole number to zero, it becomes zero so it is clear that each non zero whole number is a factor of 0. Like

n × 0 = 0 so, 0 ÷ n = 0, where n is any whole number

So GCF(n,0) = n, where n is any whole number

But, GCF(0, 0) is undefined.

There are so many ways available to find out the greatest common factor of any whole numbers such as Factoring, Prime Factorization, Euclid’s Algorithm, and many more. Which one of the methods is useful for you is decided by some factors like

1. How many numbers are there?
2. How long are the numbers?
3. What is the purpose of finding the GCF?

So, go for any of the methods and get your GCF. Let’s go through each method in detail.

Here, to check the Greatest Common Factor using the factoring method, we have to find out all the factors of each number manually or you can use any online Factors calculators also. So check out all the positive whole number factors of a number that can divide equally into the integers with zero remainders. Now write down all the common factors for each number, then find the biggest common number, it the GCF of numbers.

For detailed information see our Factoring Calculator.

Let’s check this with some examples to make it more simple,
Example 1:

Factors of 16: 1, 2, 4, 8, and 16

Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24

The common factor of 16 and 24: 1, 2, 4, and 8

The greatest common factor of 16 and 24: 8.

Example 2:

Factors of 15: 1, 3, 5, and 15

Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30

Factors of 105: 1, 3, 5, 7, 15, 21, 35 and 105

Common factors of 15, 30 and 105: 1, 3, 5 and 15

Greatest Common Factor of 15, 30, and 105: 15.

Prime Factorization is helpful when numbers are larger. If you want to calculate the Greatest Common Factor using prime factorization, then you have to check out all of the prime factors of each number manually or you can check it with an online Prime Factors Calculator. Now from the prime factors, list out all the common prime factors of the numbers. Find out the maximum same numbers from each prime factor and multiply them to find out the Greatest Common Factor.

For detailed information see our Prime Factorisation Calculator.

Example 1: Find out GCF of 16 and 24?

Prime Factorization of 16 = 2 x 2 x 2 x 2

Prime Factorization of 24 = 2 x 2 x 2 x 3

The occurrence of common prime factor of 16 and 24: 2, 2 and 2

The greatest common factor of 16 and 24 is 2 x 2 x 2 = 8.

Example 2: Find out GCF of 15, 30 and 105

Prime factorization of 15 = 3 x 5

Prime factorization of 30 = 2 x 3 x 5

Prime factorization of 105 = 3 x 5 x 7

Common factors of 15, 30 and 105 = 3 and 5

Greatest Common Factor of 15, 30, and 105 = 3 x 5 = 15

Now, what if we are required to check the greatest common factor of very large numbers like 134334, 124456, or 187644? Some online calculators like Greatest Common Factor (GCF) or Factoring Calculator can help to find out the GCF of such a large number but what if you need to do it manually by yourself.

Step by step procedure to find the GCF of larger numbers with the help of Euclid’s Algorithm

1. From the given numbers, first of all, take 2 whole numbers, and from the big number subtract the smaller number and write the result.
2. Now subtract the small number from the result. Do it again and again till the result is less than the original small number.
3. Now use the small number as a larger number and subtract the result you got from step two. Repeat the same procedure for every new bigger number and smaller number till you get the 0.
4. Now if you get 0, then go back to one step before you get 0, the greatest common factor is the number you got just before the 0.

For detailed information see our Euclid’s Algorithm Calculator.

Let’s check it out with some examples.

Example 1: Find out GCF of 16 and 24

24 – 16 = 8

16 – 8 – 8 = 0

So, the GCF of 16 and 24 is 8, the least result we had before we got zero.

Example 2: Find out GCF of 15, 25 and 105

Here we have 3 numbers and for this, the method of finding GCF is:

GCF (x,y,z) = GCF (GCF (x,y),z)

So here we have to, first of all, find the greatest finding factor of 2 numbers and then we use its result with the 3rd number and find the GCF.

So Let’s get GCF (105, 25) first here,

105 – 25 = 80

80 – 25 = 55

55 – 25 = 30

30 – 25 = 5

25 – 5 = 20

20 – 5 – 5 – 5- 5 = 0

So, the greatest common factor of 105 and 25 is 5.

Now let’s check GCF of 3rd number, 15, and our result is also 5, GCF (5, 15)

15 – 5 – 5 – 5 = 0

So, the GCF of 15 and 5 is 5.

Therefore, the greatest common factor of 105, 25, and 15 is 5.

Example 3: Find the GCF 268442, 178296, and 66888

First of all, let’s find the GCF (268442, 178296)

268442 – 178296 = 90146

178296 – 90146 = 88150

90146 – 88150 = 1996

88150 – (1996 x 44) = 326

1996 – (326 x 6) = 40

326 – (40 x 8) = 6

40 – (6 x 6) = 4

6 – 4 = 2

4 – (2 x 2) =

So, the greatest common factor of 268442 and 178296 is 2.

Now we check the GCF (2, 66888)

66888 – (2 x 33444) = 0

So, the GCF of 2 and 66888: 2.

Hence, the GCF of 1268442, 178296, and 66888 is 2