What Percent Is 4 Of 6: A Comprehensive Guide

Introduction

Mathematics is an integral part of our daily life, and we use it in various situations, such as calculating discounts, measuring distances, and even baking cakes. One of the fundamental concepts of mathematics is percentages, and understanding it is crucial for making informed decisions. In this article, we will discuss how to calculate what percent is 4 of 6.

What is a Percentage?

A percentage is a way of expressing a number as a fraction of 100. For instance, if we say 50%, it means 50 out of 100. Percentages are used in many situations, such as calculating tax, measuring growth rates, and determining test scores.

Calculating What Percent is 4 of 6

Calculating what percent is 4 of 6 is a simple process. We need to divide 4 by 6 and then multiply the result by 100. In other words, we need to find the fraction of 4 out of 6 and then convert it into a percentage.

Step 1: Finding the Fraction

We can find the fraction of 4 out of 6 by dividing 4 by 6.

4 ÷ 6 = 0.6667 or 2/3 (rounded to four decimal places)

Step 2: Converting the Fraction into a Percentage

We can convert the fraction of 2/3 into a percentage by multiplying it by 100.

2/3 x 100 = 66.67%

Why is it Important to Know What Percent is 4 of 6?

Knowing what percent is 4 of 6 can help us in many situations. For example, if we are shopping and see an item on sale for 4 dollars out of the original price of 6 dollars, we can calculate the discount percentage by using the formula we just learned.

Discount Percentage = (Original Price – Sale Price) ÷ Original Price x 100

Using the values from our example, the discount percentage would be:

(6 – 4) ÷ 6 x 100 = 33.33%

This means that the item is on sale for 33.33% off the original price.

Other Examples

Let’s look at some other examples of calculating percentages:

Example 1:

What percent is 3 out of 5?

Step 1: Finding the Fraction

3 ÷ 5 = 0.6 or 3/5

Step 2: Converting the Fraction into a Percentage

3/5 x 100 = 60%

Answer: 3 out of 5 is 60%.

Example 2:

What percent is 7 out of 10?

Step 1: Finding the Fraction

7 ÷ 10 = 0.7 or 7/10

Step 2: Converting the Fraction into a Percentage

7/10 x 100 = 70%

Answer: 7 out of 10 is 70%.

Conclusion

Calculating percentages is a crucial skill that we use in various situations, and understanding it is important for making informed decisions. In this article, we discussed how to calculate what percent is 4 of 6. Remember to always divide the smaller number by the larger number to get a fraction, and then multiply it by 100 to convert it into a percentage.