what percent of 192 is 48

Natashya

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26-12-2024

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What Percent of 192 is 48? A Step-by-Step Guide

Finding what percent one number represents of another is a common calculation in math and everyday life. Let's break down how to determine what percentage 48 represents of 192. This seemingly simple problem can be solved using a few different methods.

Method 1: Using Proportions

This method is a classic approach to percentage problems. We set up a proportion:

• Part / Whole = Percentage / 100

In this case:

• Part: 48 (the number we want to express as a percentage)
• Whole: 192 (the total number)
• Percentage: This is what we need to find (let's call it 'x')

So our proportion looks like this:

48 / 192 = x / 100

To solve for 'x', we cross-multiply:

48 * 100 = 192 * x

4800 = 192x

Now, divide both sides by 192:

x = 4800 / 192

x = 25

Therefore, 48 is 25% of 192.

Method 2: Using Decimals

This method involves converting the fraction representing the parts to a decimal and then multiplying by 100 to get the percentage.

First, express the relationship as a fraction:

48 / 192

Now simplify the fraction (divide both the numerator and denominator by their greatest common divisor, which is 48):

48 / 48 = 1 192 / 48 = 4

This simplifies to 1/4.

Convert the fraction to a decimal by dividing the numerator by the denominator:

1 / 4 = 0.25

Finally, multiply the decimal by 100 to express it as a percentage:

0.25 * 100 = 25%

Again, we find that 48 is 25% of 192.

Method 3: Using a Calculator

The easiest way is often to use a calculator. Simply divide 48 by 192 and then multiply the result by 100:

(48 / 192) * 100 = 25%

In Conclusion:

No matter which method you use, the answer remains the same: 48 represents 25% of 192. Understanding these different methods allows you to approach percentage problems with flexibility and choose the method best suited to the situation. Remember to always clearly define the "part" and the "whole" before beginning your calculations.