Hello Zeromedia, and welcome to our beginner’s guide on how to get a percentage. Whether you’re a student learning about fractions or a worker dealing with percentages in your job, this guide will provide you with the basic knowledge you need to calculate percentages quickly and easily.

## What is a Percentage?

A percentage is a way of expressing a part of a whole as a fraction of 100. The symbol for percentage is “%”. For example, 50% means 50 out of 100, or half of the whole. Percentages are used in many different areas, including math, finance, and statistics.

### Converting Percentages to Decimals

- To convert a percentage to a decimal, simply divide the percentage by 100. For example, 25% is equal to 0.25 when converted to a decimal.
- You can also move the decimal point two places to the left to convert a percentage to a decimal. For example, 75% is equal to 0.75 when the decimal point is moved two places to the left.

### Converting Decimals to Percentages

- To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.75 is equal to 75% when converted to a percentage.
- You can also move the decimal point two places to the right to convert a decimal to a percentage. For example, 0.25 is equal to 25% when the decimal point is moved two places to the right.

## Calculating Percentages

Calculating percentages involves finding a part of a whole based on a given percentage. There are several methods for calculating percentages, including the following:

### Method 1: Using Proportions

To calculate a percentage using proportions, use the following formula:

part/whole = percentage/100

For example, if you want to find 20% of 50, you would set up the proportion as follows:

x/50 = 20/100

Solve for x by cross-multiplying:

x = (20*50)/100 = 10

Therefore, 20% of 50 is 10.

### Method 2: Using Multiplication

To calculate a percentage using multiplication, use the following formula:

part = whole * percentage/100

For example, if you want to find 40% of 80, you would multiply 80 by 40/100:

part = 80 * 40/100 = 32

Therefore, 40% of 80 is 32.

## Common Percentage Problems

Here are some common percentage problems and how to solve them:

### Problem 1: Finding the Percentage Increase

To find the percentage increase between two numbers, use the following formula:

percentage increase = (new value – old value)/old value * 100

For example, if a stock’s price increased from $100 to $125, the percentage increase would be:

percentage increase = (125 – 100)/100 * 100 = 25%

Therefore, the stock’s price increased by 25%.

### Problem 2: Finding the Percentage Decrease

To find the percentage decrease between two numbers, use the following formula:

percentage decrease = (old value – new value)/old value * 100

For example, if a store’s sales decreased from $5000 to $4000, the percentage decrease would be:

percentage decrease = (5000 – 4000)/5000 * 100 = 20%

Therefore, the store’s sales decreased by 20%.

## Table of Common Percentages

Here is a table of common percentages and their decimal and fraction equivalents:

Percentage | Decimal | Fraction |
---|---|---|

1% | 0.01 | 1/100 |

5% | 0.05 | 1/20 |

10% | 0.10 | 1/10 |

25% | 0.25 | 1/4 |

50% | 0.50 | 1/2 |

## FAQs

### Q: What is the difference between a percentage and a decimal?

A: A percentage is a way of expressing a part of a whole as a fraction of 100, while a decimal is a way of expressing a part of a whole as a fraction of 1.

### Q: How do I calculate a percentage of a percentage?

A: To calculate a percentage of a percentage, multiply the two percentages together and divide by 100. For example, to find 20% of 50%, you would multiply 20% by 50% and divide by 100:

20% of 50% = (20/100) * (50/100) = 10%

### Q: What is a good way to practice calculating percentages?

A: You can practice calculating percentages by doing math problems, such as finding the percentage increase or decrease between two numbers. You can also practice by analyzing data and calculating percentages based on that data.

Goodbye and we hope this article has helped you understand how to get a percentage. Be sure to check out more interesting articles on our website.