What is 20% of 60?

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What is 20% of 60?

In mathematics, the percentage is a dimensionless number used to express a part of a whole as a fraction of 100. The symbol % is used to denote a percentage. Here in this article, we are going to learn how to find the percentage of a given number. We will also solve some examples to understand the concept better.

So, what is 20% of 60? To find the answer, we need to multiply 60 by 20/100, which is the same as multiplying 60 by 0.2. This gives us the answer 12. Therefore, 20% of 60 is 12.

Let's take another example. Suppose you want to find 15% of 80. To do this, we multiply 80 by 15/100, which is the same as multiplying 80 by 0.15. This gives us the answer 12. Therefore, 15% of 80 is 12.

whats 20 of 60

Percentage of a number calculation.

  • 20% of 60 is 12.
  • Percentage is a fraction of 100.
  • To find percentage, multiply by fraction.
  • 20/100 = 0.2.
  • 60 x 0.2 = 12.
  • 12 is the answer.
  • Another example: 15% of 80 is 12.

These are just a few important points about finding the percentage of a number. With practice, you will be able to solve these types of problems quickly and easily.

20% of 60 is 12.

To understand why 20% of 60 is 12, let's break it down step by step:

Step 1: Understand the concept of percentage

A percentage is a way of expressing a number as a fraction of 100. For example, 50% means 50 out of 100, or 0.5.

Step 2: Convert the percentage to a decimal

To find 20% of 60, we first need to convert 20% to a decimal. We do this by dividing 20 by 100, which gives us 0.2.

Step 3: Multiply the decimal by the number

Now that we have converted 20% to a decimal, we can multiply it by 60. This gives us 0.2 x 60 = 12.

Therefore, 20% of 60 is 12.

This concept can be applied to find the percentage of any number. For example, to find 30% of 80, we would follow the same steps:

Convert 30% to a decimal: 30/100 = 0.3 Multiply the decimal by 80: 0.3 x 80 = 24

Therefore, 30% of 80 is 24.

Percentage is a fraction of 100.

To understand what is meant by "percentage is a fraction of 100", let's break it down into smaller parts:

Fraction:

A fraction is a number that represents a part of a whole. It is written as two numbers separated by a line, with the top number representing the numerator and the bottom number representing the denominator. For example, the fraction 1/2 represents one part out of two equal parts.

Percentage:

A percentage is a special type of fraction that represents a part of 100. It is written with a percent sign (%) after the number. For example, 50% means 50 out of 100, or 50/100.

Fraction of 100:

When we say that a percentage is a fraction of 100, we mean that the denominator of the fraction is always 100. For example, 25% can be written as the fraction 25/100.

Therefore, we can conclude that a percentage is simply a way of expressing a fraction with a denominator of 100. This makes it easier to compare different percentages and to perform calculations involving percentages.

To find percentage, multiply by fraction.

To understand why we multiply by a fraction to find a percentage, let's break it down into smaller parts:

Step 1: Convert the percentage to a fraction

The first step is to convert the percentage to a fraction. We do this by dividing the percentage by 100. For example, to convert 20% to a fraction, we divide 20 by 100, which gives us 20/100.

Step 2: Multiply the fraction by the number

Once we have converted the percentage to a fraction, we can multiply it by the number to find the percentage of that number. For example, to find 20% of 60, we multiply 20/100 by 60. This gives us (20/100) x 60 = 1200/100.

Step 3: Simplify the fraction

The final step is to simplify the fraction, if possible. In this case, we can simplify 1200/100 to 12/1. Therefore, 20% of 60 is 12.

This method can be used to find the percentage of any number. For example, to find 30% of 80, we would follow the same steps:

Convert 30% to a fraction: 30/100 Multiply the fraction by 80: (30/100) x 80 = 2400/100 Simplify the fraction: 2400/100 = 24

Therefore, 30% of 80 is 24.

20/100 = 0.2.

To understand why 20/100 = 0.2, let's break it down into smaller parts:

Step 1: Understand the concept of a fraction

A fraction is a number that represents a part of a whole. It is written as two numbers separated by a line, with the top number representing the numerator and the bottom number representing the denominator. For example, the fraction 1/2 represents one part out of two equal parts.

Step 2: Convert the fraction to a decimal

A decimal is a way of representing a number using a base-10 system. In a decimal, the digits to the right of the decimal point represent the fractional part of the number. For example, the decimal 0.5 represents the fraction 1/2.

Step 3: Convert the fraction 20/100 to a decimal

To convert the fraction 20/100 to a decimal, we simply divide the numerator (20) by the denominator (100). This gives us 0.2.

Therefore, we can conclude that 20/100 is equal to 0.2. This is because 0.2 represents the fractional part of the number 20, when divided by 100.

60 x 0.2 = 12.

To understand why 60 x 0.2 = 12, let's break it down into smaller parts:

Multiplying a number by a decimal:

When we multiply a number by a decimal, we are essentially multiplying it by a fraction. For example, multiplying 60 by 0.2 is the same as multiplying 60 by 2/10.

Multiplying a number by a fraction:

To multiply a number by a fraction, we can use the following steps:

  1. Multiply the numerator of the fraction by the number.
  2. Divide the product by the denominator of the fraction.
Multiplying 60 by 2/10:

Following the steps above, we can multiply 60 by 2/10 as follows:

  1. Multiply 60 by 2: 60 x 2 = 120
  2. Divide 120 by 10: 120 / 10 = 12
Therefore, 60 x 0.2 = 12:

Since multiplying 60 by 0.2 is the same as multiplying 60 by 2/10, we can conclude that 60 x 0.2 = 12.

This method can be used to multiply any number by a decimal. For example, to multiply 80 by 0.3, we would follow the same steps:

  1. Convert 0.3 to a fraction: 0.3 = 3/10
  2. Multiply 80 by 3: 80 x 3 = 240
  3. Divide 240 by 10: 240 / 10 = 24

Therefore, 80 x 0.3 = 24.

12 is the answer.

To understand why 12 is the answer to "what is 20% of 60", let's summarize the steps we took:

Convert 20% to a fraction:

We converted 20% to a fraction by dividing 20 by 100, which gave us 20/100.

Simplify the fraction:

We simplified the fraction 20/100 by dividing both the numerator and the denominator by 20, which gave us 1/5.

Multiply the fraction by 60:

We multiplied the fraction 1/5 by 60, which gave us 1/5 x 60 = 60/5.

Simplify the fraction:

We simplified the fraction 60/5 by dividing both the numerator and the denominator by 5, which gave us 12/1.

Therefore, 12 is the answer:

Since 12/1 is equal to 12, we can conclude that 12 is the answer to the question "what is 20% of 60".

This method can be used to find the percentage of any number. For example, to find 30% of 80, we would follow the same steps:

  1. Convert 30% to a fraction: 30/100
  2. Simplify the fraction: 3/10
  3. Multiply the fraction by 80: 3/10 x 80 = 240/10
  4. Simplify the fraction: 24

Therefore, 30% of 80 is 24.

Another example: 15% of 80 is 12.

To understand how to find 15% of 80, let's break it down into smaller parts:

Step 1: Convert 15% to a fraction

We can convert 15% to a fraction by dividing 15 by 100, which gives us 15/100.

Step 2: Multiply the fraction by 80

Now that we have converted 15% to a fraction, we can multiply it by 80. This gives us (15/100) x 80 = 1200/100.

Step 3: Simplify the fraction

We can simplify the fraction 1200/100 by dividing both the Erikanumerator and the denominator by 100. This gives us 12/1.

Therefore, 15% of 80 is 12.

This method can be used to find the percentage of any number. For example, to find 25% of 100, we would follow the same steps:

  1. Convert 25% to a fraction: 25/100
  2. Multiply the fraction by 100: (25/100) x 100 = 2500/100
  3. Simplify the fraction: 25

Therefore, 25% of 100 is 25.

FAQ

Here are some frequently asked questions (FAQs) about finding the percentage of a number:

Question 1: What is percentage?
Answer: Percentage is a way of expressing a part of a whole as a fraction of 100. It is denoted by the symbol %. For example, 50% means 50 out of 100, or 0.5. Question 2: How do I convert a percentage to a fraction?
Answer: To convert a percentage to a fraction, divide the percentage by 100. For example, to convert 25% to a fraction, we divide 25 by 100, which gives us 25/100. Question 3: How do I find the percentage of a number?
Answer: To find the percentage of a number, multiply the number by the percentage expressed as a fraction. For example, to find 20% of 60, we multiply 60 by 20/100, which gives us 12. Question 4: Can I use a calculator to find the percentage of a number?
Answer: Yes, you can use a calculator to find the percentage of a number. Simply enter the number and then multiply it by the percentage expressed as a decimal. For example, to find 20% of 60, you would enter 60 x 0.2 into your calculator, which would give you the answer 12. Question 5: How do I find the percentage of a number in a word problem?
Answer: To find the percentage of a number in a word problem, first identify the whole and the part. Then, set up a proportion and solve for the unknown. For example, if you know that 20% of a number is 12, you can set up the following proportion: 20/100 = 12/x Cross-multiplying, we get: 20x = 1200 Dividing both sides by 20, we get: x = 60 Therefore, the number is 60. Question 6: Can I use percentages to compare different numbers?
Answer: Yes, you can use percentages to compare different numbers. By expressing the numbers as percentages of a common base, you can easily see which number is greater or smaller. For example, if you know that Company A has 20% of the market share and Company B has 30% of the market share, you can conclude that Company B has a larger market share than Company A.

These are just a few of the frequently asked questions about finding the percentage of a number. If you have any other questions, please feel free to ask.

Now that you know how to find the percentage of a number, here are a few tips to help you:

Tips

Here are a few practical tips to help you find the percentage of a number quickly and easily:

Tip 1: Understand the concept of percentage

Before you can start finding percentages, it's important to understand what percentage means. Percentage is a way of expressing a part of a whole as a fraction of 100. For example, 50% means 50 out of 100, or 0.5.

Tip 2: Convert percentages to fractions or decimals

To make it easier to find the percentage of a number, you can convert the percentage to a fraction or a decimal. To convert a percentage to a fraction, divide the percentage by 100. To convert a percentage to a decimal, divide the percentage by 100 and drop the percent sign. For example, 25% can be converted to the fraction 25/100 or the decimal 0.25.

Tip 3: Use a calculator

If you're not comfortable with math, you can use a calculator to find the percentage of a number. Simply enter the number and then multiply it by the percentage expressed as a decimal. For example, to find 20% of 60, you would enter 60 x 0.2 into your calculator, which would give you the answer 12.

Tip 4: Use proportions

You can also use proportions to find the percentage of a number. A proportion is an equation that states that two ratios are equal. For example, the proportion 20/100 = 12/x means that 20% of 100 is equal to 12% of x. You can use this proportion to solve for x, which will give you the number that 12% of is equal to 12.

These are just a few tips to help you find the percentage of a number quickly and easily. With a little practice, you'll be able to do it without even thinking about it.

Now that you know how to find the percentage of a number, let's put your skills to the test with a few practice problems.

Conclusion

In this article, we learned how to find the percentage of a number. We covered the following main points:

  • Percentage is a way of expressing a part of a whole as a fraction of 100.
  • To find the percentage of a number, we can multiply the number by the percentage expressed as a fraction or a decimal.
  • We can also use a calculator or proportions to find the percentage of a number.

With a little practice, you'll be able to find the percentage of a number quickly and easily. This is a useful skill to have in many different situations, such as when you're shopping, cooking, or doing your taxes.

Remember, percentage is just a way of representing a part of a whole. It's important to understand the concept of percentage before you start trying to solve problems involving percentages.

Thanks for reading!

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