what is 25 of 105

Natashya

2 min read

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24-12-2024

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Finding a percentage of a number is a common task in many areas of life, from calculating discounts to determining tax amounts. This article will show you how to calculate 25% of 105, explaining the process step-by-step. Understanding this calculation will empower you to tackle similar percentage problems with confidence.

Understanding Percentages

Before we dive into the calculation, let's clarify what percentages represent. A percentage is a fraction out of 100. So, 25% means 25 out of 100, or 25/100. This fraction can be simplified to 1/4.

Method 1: Using Decimal Conversion

This is often the easiest method for most people. We convert the percentage to a decimal and then multiply.

Step 1: Convert the percentage to a decimal.

To convert a percentage to a decimal, divide the percentage by 100. In this case:

25% ÷ 100 = 0.25

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.25) by the number you want to find the percentage of (105):

0.25 x 105 = 26.25

Therefore, 25% of 105 is $\boxed{26.25}$

Method 2: Using Fractions

This method utilizes the fractional equivalent of the percentage.

Step 1: Convert the percentage to a fraction.

As mentioned earlier, 25% is equivalent to the fraction 25/100, which simplifies to 1/4.

Step 2: Multiply the fraction by the number.

Multiply the fraction (1/4) by the number (105):

(1/4) x 105 = 105/4

Step 3: Simplify the fraction (or convert to decimal).

Dividing 105 by 4 gives us:

105/4 = 26.25

Again, we find that 25% of 105 is $\boxed{26.25}$

Method 3: Using Proportions

This method is useful for understanding the underlying relationship between percentages and ratios.

Step 1: Set up a proportion.

We can set up a proportion to solve this problem:

25/100 = x/105

Where 'x' represents the value we are trying to find (25% of 105).

Step 2: Cross-multiply and solve for x.

Cross-multiplying, we get:

100x = 25 x 105

100x = 2625

x = 2625 / 100

x = 26.25

Once again, 25% of 105 is $\boxed{26.25}$

Conclusion

Regardless of the method used, we consistently find that 25% of 105 equals 26.25. Choosing the method that best suits your understanding and comfort level is key. Now you have the tools to calculate percentages confidently in various situations! Remember to practice to reinforce your skills.