# 75 Is 20 Percent of What Number

75 Is 20 Percent of What Number?

If you have ever come across the phrase “75 is 20 percent of what number,” you might have found yourself scratching your head in confusion. Understanding percentages and their relation to numbers can sometimes be challenging, but fear not! In this article, we will delve into the concept of percentages, explain how to find the missing number, and answer some frequently asked questions to clear any doubts you may have.

To begin with, let’s break down the problem at hand: 75 is 20 percent of what number. In simple terms, we need to determine the whole number from which 20 percent (or one-fifth) is equal to 75. To solve this, we can use a basic proportion equation:

20/100 = 75/x

The equation above represents the proportion of the unknown number (x) to 75. By cross-multiplying and solving for x, we can find the missing number:

20x = 75 * 100
20x = 7500
x = 7500/20
x = 375

Therefore, 75 is 20 percent of 375.

FAQs:

Q: What does it mean when a number is a percentage of another number?
A: When a number is a percentage of another number, it means that it represents a fraction of the whole. For example, if we say that 50 is 25 percent of a number, it means that 50 is equal to one-fourth of that number.

Q: How do you calculate a percentage of a number?
A: To calculate a percentage of a number, you multiply the number by the percentage in decimal form. For instance, if you want to find 20 percent of 100, you would multiply 100 by 0.20, resulting in 20.