Are you wondering **how to calculate 20% of 36**? Look no further! In this easy math guide, we will show you a quick and simple method to calculate this percentage. Whether you’re a student studying for a math exam or simply curious about percentages, this guide will help you understand the process.

**Calculating percentages** may seem intimidating at first, but with our step-by-step explanation, you’ll be able to solve this problem effortlessly. Let’s dive in!

### Key Takeaways:

- To
**calculate 20% of 36**, simply move the decimal point one position to the left. - Percentage represents a portion of a whole, with “percent” meaning “per 100”.
- The formula for
**calculating percentages**is (Value/Total Value) x 100. **Converting decimals to percentages**is as easy as multiplying by 100.- To find the
**percentage of a specific number**, multiply the decimal or fraction representing the percentage by the number.

## Understanding Percentages

Percentages represent the portion of a whole. The word “percent” comes from “per cent,” which means “per 100.” For example, 10% means 10 per 100, or 10/100.

Understanding the concept of percentages is key to accurately calculating them. Percentages are used in various fields such as finance, economics, statistics, and everyday life. Whether you’re calculating discounts, interest rates, or analyzing data, knowing how to work with percentages is essential.

When it comes to **calculating percentages**, it’s crucial to grasp the underlying principles. By breaking down percentages into their fundamental components, you can easily perform accurate calculations and make informed decisions based on the results.

Let’s delve deeper into **percentage calculation** and explore some practical examples to solidify your understanding.

### Practical Example:

Suppose you have a test with 50 questions, and you answered 40 correctly. What percentage of questions did you answer correctly?

To calculate this, use the **percentage formula**:

Percentage = (Value/Total Value) x 100

In this case, the value is 40 (questions answered correctly), and the total value is 50 (total questions).

Percentage = (40/50) x 100

Percentage = 0.8 x 100

Percentage = 80%

So, you answered 80% of the questions correctly.

**Understanding percentages** allows you to interpret and analyze data, compare values, and make informed decisions. With this foundational knowledge, you can confidently dive into various **percentage calculation** techniques to solve a wide range of real-world problems.

## Basics of Percentage Calculation

Understanding how to calculate percentages is an essential skill in many areas of life, from personal finance to business analysis. In this section, we will cover the basic formula for calculating percentages and the steps involved in performing percentage calculations.

### The Percentage Formula

The **percentage formula** can be expressed as:

(Value/Total Value) x 100

This formula allows you to find the percentage value of a number in relation to a total value. To calculate a percentage, you will need to divide the given value by the total value and then multiply the result by 100.

### Calculating Percentages Step-by-Step

To calculate a percentage, follow these steps:

- Divide the given value by the total value.
- Multiply the quotient by 100.
- The result is the percentage value.

For example, let’s say we want to find 20% of a number. We can calculate it using the **percentage formula**:

(Value/Total Value) x 100

In this case, the value is the number we want to find the percentage of, and the total value is the number by which we want to calculate the percentage.

Let’s take an example: to find 20% of 80, we divide 80 by 5:

80 / 5 = 16

Now, we multiply the quotient by 100:

16 x 100 = 1600

So, 20% of 80 is 16.

By following these simple steps, you can calculate percentages quickly and accurately. Practice using different values to gain confidence in performing percentage calculations.

Remember, understanding the basics of **percentage calculation** is crucial for a wide range of applications. Whether you’re determining discounts, analyzing data, or allocating resources, knowing how to calculate percentages is an invaluable skill.

## Calculating Percentages from Decimals and Fractions

Converting a decimal to a percentage is a straightforward process that involves multiplying the decimal by 100. For example, to convert the decimal 0.87 to a percentage, you would multiply it by 100, resulting in 87%. The same principle applies to other decimals.

However, when you have a fraction that you want to convert to a percentage, you’ll need to take an additional step. To convert a fraction to a percentage, divide the numerator (the top number) by the denominator (the bottom number), and then multiply the result by 100. This will give you the equivalent percentage.

Example:Let’s say you have the fraction 3/4. To convert it to a percentage, you would divide 3 by 4, which equals 0.75. Multiply 0.75 by 100, and you get 75%, indicating that 3/4 is equal to 75%.

Converting decimals and fractions to percentages is a fundamental skill in percentage calculation. It allows you to express values in a format that is more easily understood and compared.

### Decimal to Percentage Conversion

To convert a decimal to a percentage:

- Multiply the decimal by 100.
- Append the percent sign (%).

You can use this method to convert any decimal to its equivalent percentage. For example, the decimal 0.25 becomes 25%.

### Fraction to Percentage Conversion

To convert a fraction to a percentage:

- Divide the numerator by the denominator.
- Multiply the result by 100.
- Append the percent sign (%).

By following these steps, you can convert any fraction into its corresponding percentage. For instance, the fraction 2/3 becomes approximately 66.67% when rounded to two decimal places.

Understanding how to convert decimals and fractions to percentages is crucial for accurate percentage calculations. It allows you to express values in a format that is widely recognized and easily compared.

## Calculating Percentages of Specific Numbers

When you need to find the **percentage of a specific number**, there’s a simple calculation you can use. Just multiply the decimal or fraction representing the percentage by the number itself. Let’s take an example:

Suppose you want to find 25% of 40. To do this, you’ll multiply 0.25 (the decimal form of 25%) by 40:

*25% of 40 = 0.25 x 40 = 10*

So, 25% of 40 is equal to 10. It’s that straightforward!

This method works for any percentage and number. Whether you’re calculating 10% of 80 or 75% of 200, the process remains the same. Simply multiply the percentage (in decimal or fraction form) by the given number to find the result.

### Example: Calculating 40% of 75

40% of 75 = 0.4 x 75 = 30

As you can see, it’s easy to find percentages of specific numbers using basic multiplication. By applying this method, you’ll be able to quickly and accurately determine any percentage you need.

Percentage | Number | Result |
---|---|---|

10% | 80 | 8 |

15% | 200 | 30 |

50% | 120 | 60 |

## Dealing with Percentages Greater than 100%

Percentages greater than 100% are not uncommon and can represent a larger portion than the whole. This occurs when the value being measured exceeds the total value. For example, if you have a sales goal of $100,000 and you achieve $200,000 in sales, your percentage increase is 200%.

To understand percentages greater than 100%, think of it as a multiple of the whole. A percentage of 200% means you have doubled the original value. Similarly, a percentage of 300% means you have tripled the original value.

Calculating percentages greater than 100% is straightforward. It involves multiplying the number by the percentage. For example, if you want to find 150% of a value, you would multiply the value by 1.5. This gives you the new value that represents 150% of the original.

Let’s dive deeper into this concept with an example:

Example: You want to calculate 180% of $50.

To do this, multiply $50 by 1.8:

$50 x 1.8 = $90180% of $50 is $90.

As you can see, calculating percentages greater than 100% is essentially a matter of scaling up the value by the desired percentage.

## Solving Percent Problems

**Solving percent problems** involves applying the concepts of fractions and proportions. By understanding the relationship between fractions, decimals, and percentages, you can easily tackle a wide range of percent problems. Here are some effective techniques and **tips for solving percent problems**:

*Convert percentages to decimals or fractions:*When working with percentages, it can be useful to convert them to decimal form (e.g., 25% becomes 0.25) or fraction form (e.g., 50% becomes 1/2). This allows for easier calculations and comparisons.*Use proportions:*Proportions are useful tools for**solving percent problems**. If you know that a certain percentage represents a certain value, you can set up a proportion to find the unknown value. For example, if 20% of a quantity is equal to 50, you can set up the proportion: 20/100 = x/50. Solving for x will give you the desired value.*Apply the percent formula:*The percent formula (Value/Total Value) x 100 is often used to calculate percentages. This formula allows you to find the percentage when you know the value and the total value. It can also be rearranged to find the value or the total value when the percentage is known.*Break down complex problems:*If a percent problem seems complex, try breaking it down into smaller, more manageable parts. Analyze the problem step by step and solve each part individually. Then, combine the solutions to find the final answer.*Use real-life scenarios:*Utilize real-life scenarios or examples to gain a better understanding of how percentages work. For instance, if you’re calculating a discount on a product, think about how that discount affects the original price.

By employing these **percent problem solving techniques**, you’ll be better equipped to tackle a variety of mathematical problems. Practice applying these strategies to reinforce your understanding and improve your problem-solving skills.

### The Value of Practice

It’s important to practice **solving percent problems** regularly to build proficiency and confidence. The more you practice, the more comfortable you’ll become with different types of percent problems and the various techniques for solving them. Additionally, seeking additional resources such as textbooks, online tutorials, and math practice websites can provide further guidance and opportunities for practice.

“Practicing percent problems is like sharpening your math skills. The more you practice, the sharper your problem-solving abilities become.”

Problem Type | Example | Solution |
---|---|---|

Finding the percent of a number | What is 30% of 80? | 30% of 80 is 24 |

Calculating the total value | If 20% represents 150, what is the total value? | The total value is 750 |

Determining the percentage increase or decrease | If the original value was 200 and it increased to 240, what was the percentage increase? | The percentage increase is 20% |

## Easy Tricks for Percent Calculation

Calculating percentages can sometimes be a bit tricky, but fear not! There are clever shortcuts and techniques that can make it a breeze. By mastering these tricks, you’ll be able to quickly and accurately calculate percentages without breaking a sweat.

One of the easiest tricks is to find 10% of a number. This can be done by simply dividing the number by 10. For example, to find 10% of 200, you just need to divide 200 by 10, which gives you 20. It’s as simple as that!

Another useful technique is switching the order of numbers when solving percent problems. This can help simplify calculations and make them easier to navigate. For instance, if you’re trying to find 25% of 80, instead of multiplying 80 by 0.25, you can switch the numbers and calculate 80% of 25. This would be equivalent to multiplying 25 by 0.8, which gives you a result of 20.

These tricks can save you time and mental effort, especially when you’re dealing with complex percentage calculations. Practice using these shortcuts, and soon you’ll be calculating percentages like a pro!

Traditionally, we would write this problem as:

20% * 50

But using the flipping technique, we can rewrite it as:

50 * 20%

The order of the numbers and the percent sign has been switched. Now, we can easily calculate the answer by multiplying 50 and 20%, resulting in the same value as before.

This flipping technique can be especially useful when you encounter complex percent problems or when you want to approach a problem from a different angle. It provides a fresh perspective and can simplify the calculations.

Remember, the key is to switch the order of the numbers and the percent sign while maintaining the same mathematical operations. By doing so, you can solve percent problems with ease and accuracy.

## Conclusion

Calculating percentages doesn’t have to be complicated. By understanding the basic concepts and using simple tricks, you can quickly and accurately calculate percentages. Whether you need to find 20% of a number or solve more complex percent problems, practice and familiarity with the formulas and techniques will greatly improve your calculations.

Throughout this guide, we’ve explored various methods for calculating percentages. We’ve learned how to calculate percentages from decimals and fractions, as well as how to find the percentage of specific numbers. Additionally, we’ve discussed dealing with percentages greater than 100% and provided **tips for solving percent problems**.

Remember, **converting decimals to percentages** is as easy as multiplying by 100, and converting fractions to percentages involves dividing the numerator by the denominator and multiplying by 100. Utilizing tricks such as finding 10% of a number by dividing it by 10 and flipping the order of numbers in a percent problem can make calculations simpler.

By applying the skills and techniques shared in this guide, you’ll be able to confidently tackle percentage calculations in everyday life situations. So keep practicing, and soon you’ll be a master at percentage calculation!

## FAQ

### What is 20% of 36?

To **calculate 20% of 36**, you can simply move the decimal point one position to the left. This means that 20% of 36 is equal to 7.2.

### How do you calculate 20% of 36?

To **calculate 20% of 36**, divide 36 by 5 (since 20% is equivalent to 1/5) to get 7.2.

### Can you find 20 out of 36 as a percentage?

Yes, 20 out of 36 can be expressed as a percentage. By dividing 20 by 36 and multiplying by 100, you will find that 20 out of 36 is approximately 55.56%.

### What is the formula for calculating 20% of 36?

The formula for calculating a percentage is (Value/Total Value) x 100. So, to calculate 20% of 36, you can use the formula: (20/36) x 100 = 55.56%.

### How do you find the ratio of 20 to 36?

To find the ratio of 20 to 36, you can express it as a fraction by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 20 and 36 is 4. Dividing both numbers by 4 gives the ratio of 5 to 9.