24 Is 75 Percent Of What Number

24 is 75 percent of what number? How to solve this mathematical problem.

Do you find yourself struggling to solve math problems involving percentages? Are you tired of searching through countless websites and textbooks for answers? Well, look no further! In this comprehensive guide, we’ll provide you with a step-by-step solution to the enigmatic question: “24 is 75 percent of what number?”

We understand that dealing with percentages can sometimes be a pain, especially when it comes to finding the whole number when given a percentage. But fear not, with our easy-to-follow method, you’ll be able to solve this problem and many more like it in no time!

Unveiling the Mystery: 24 is 75 percent of what number?

To embark on our mathematical journey, let’s break down the problem into smaller, more manageable steps. We’re tasked with finding the whole number that 24 constitutes 75 percent of. In essence, we need to determine the value that, when multiplied by 75 percent (or 0.75), results in 24.

The Solution: A Step-by-Step Guide

  1. Set up the Equation:
    Express the problem as a mathematical equation: 24 = 0.75 * x, where ‘x’ represents the unknown whole number we’re trying to find.

  2. Solving for ‘x’:
    To isolate ‘x’, we divide both sides of the equation by 0.75. This gives us x = 24/0.75.

  3. Simplifying the Expression:
    Performing the division, we arrive at x = 32.

Therefore, the whole number that 24 is 75 percent of is 32.

Key Points to Remember:

  • To find the whole number when given a percentage, divide the given value by the percentage expressed as a decimal.
  • Equations involving percentages can be solved using basic algebraic operations like multiplication and division.
  • Percentages are commonly used in various fields, including finance, economics, and statistics.
24 Is 75 Percent Of What Number

Understanding Percentages: Relating 24 to 75 Percent

In the realm of mathematics, percentages play a pivotal role in representing parts relative to wholes. To unravel the interrelationship between 24 and 75 percent, we embark on a journey of exploration.

What is a Percentage?

A percentage is a numerical expression that communicates the proportion of a quantity compared to a whole. It is denoted by the symbol “%” and is calculated by dividing the part by the whole and then multiplying by 100.

Relating 24 to 75 Percent

Our quest begins with understanding the connection between 24 and 75 percent. To determine the number that 24 represents 75 percent of, we can set up a proportion:

24 / x = 75 / 100

Solving the Proportion

To solve for x, we can cross-multiply:

24 * 100 = 75 * x

Simplifying the equation:

2400 = 75x

Finding the Value of x

Dividing both sides of the equation by 75, we isolate x:

x = 2400 / 75

Calculating the value of x:

x = 32

Conclusion: Unveiling the Mystery

Therefore, 24 is 75 percent of 32. This mathematical relationship signifies that 24 comprises 75% of the whole quantity, which is 32. Percentages enable us to express and analyze proportional relationships with precision.

Frequently Asked Questions (FAQs):

  1. What is the formula for converting a percentage to a decimal?

To convert a percentage to a decimal, divide the percentage by 100. For example, to convert 75% to a decimal, divide 75 by 100, which gives you 0.75.

  1. How do you calculate the percentage of one number relative to another?

To calculate the percentage of one number relative to another, divide the part by the whole and then multiply by 100. For example, to find the percentage of 24 relative to 32, divide 24 by 32 and then multiply by 100, which gives you 75%.

  1. What is the difference between a percentage and a ratio?

A percentage is a part of a whole expressed as a fraction of 100, while a ratio is the comparison of two quantities expressed in fractional form.

  1. Can percentages be greater than 100%?

Yes, percentages can be greater than 100%. This occurs when the part is greater than the whole. For example, if you have 120 apples and you sell 150 apples, the percentage of apples sold is 125%.

  1. How are percentages used in everyday life?

Percentages are used in everyday life in a variety of ways, such as calculating discounts, determining interest rates, and expressing probability.

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