3 is 30 percent of what number

Guri Bee

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20-10-2024

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Unlocking the Power of Percentages: 3 is 30% of What Number?

Have you ever encountered a scenario where you need to figure out the whole amount when you know a part and its percentage? For example, let's say you're shopping and find a sale item with a discount of 30% and you know the discounted price is $3. You might wonder, "What was the original price before the discount?"

This is a common problem that can be solved using basic percentage calculations. In this article, we'll break down how to find the original number when you know a percentage and its corresponding value, using the example of "3 is 30% of what number?"

Understanding Percentages

Percentages represent parts of a whole. The symbol "%" means "out of one hundred." So, 30% is equivalent to 30 out of every 100.

Setting Up the Equation

To solve for the original number, we can set up a simple equation:

• Part / Whole = Percentage / 100

In our case:

• 3 / Whole = 30 / 100

Solving for the Whole

1. Cross-Multiplication: Multiply the numerator of the first fraction by the denominator of the second fraction, and vice versa.

   • 3 * 100 = 30 * Whole
   • 300 = 30 * Whole

2. Isolate the Whole: Divide both sides of the equation by 30 to get the Whole by itself.

   • 300 / 30 = Whole
   • 10 = Whole

Therefore, 3 is 30% of 10.

Practical Application

This knowledge is useful in various real-life scenarios:

• Sales and Discounts: Calculate the original price of an item if you know the discounted price and percentage discount.
• Financial Planning: Determine the total amount of savings needed if you know a percentage you want to save and your target amount.
• Data Analysis: Calculate the total population based on a sample size and its percentage representation.

Further Exploration

• You can use a calculator or online tools to easily solve percentage problems.
• There are many other ways to solve percentage problems, like using proportions or the concept of "is over of equals percent over one hundred."

Remember: Percentages are a powerful tool for understanding and manipulating data. By understanding how to calculate percentages, you can gain valuable insights into many aspects of your life.

Attribution:

This article draws upon the helpful responses from the GitHub community, especially the discussions on percentage calculations.