Understanding "What Is 75 Of 180?"

The 75 percent of 180 is equal to 135. It can be easily calculated by from www.storyofmathematics.com

Introduction

As a teacher, it is important to help students understand the concept of percentages and how to solve percentage problems. One of the most common problems is determining what a certain percentage of a number is. In this article, we will focus on solving the problem "What is 75 of 180?"

Explanation of Percentage

A percentage is a way of expressing a part of a whole as a fraction of 100. For example, if we say that 50% of a class consists of boys, we mean that half of the class is made up of boys.

Solving the Problem

To solve the problem "What is 75 of 180?", we need to understand that the word "of" means multiplication. So, we need to multiply 180 by 75% (or 0.75) to find the answer.

180 x 0.75 = 135

Therefore, 75% of 180 is 135.

Alternative Methods

There are other ways to solve percentage problems. One method is to convert the percentage to a decimal and then multiply it by the whole number. Another method is to divide the whole number by 100 and then multiply it by the percentage.

Method 1: Converting Percentage to Decimal

To convert 75% to a decimal, we divide it by 100:

75 ÷ 100 = 0.75

Then, we multiply 0.75 by 180:

0.75 x 180 = 135

Therefore, 75% of 180 is 135.

Method 2: Dividing by 100

To use this method, we first divide 180 by 100:

180 ÷ 100 = 1.8

Then, we multiply 1.8 by 75:

1.8 x 75 = 135

Therefore, 75% of 180 is 135.

Real-Life Applications

Understanding percentages is crucial in many fields, including finance, science, and medicine. For example, a financial analyst may need to calculate what percentage of a company's revenue comes from a particular product. A scientist may need to determine what percentage of a sample is made up of a particular element. A doctor may need to calculate the percentage of patients who experience a certain side effect from a medication.

Conclusion

In conclusion, understanding percentages and how to solve percentage problems is an important skill for students to develop. By using the methods outlined in this article, students can easily determine what a certain percentage of a number is.