The notion of percentages can be confusing at times, especially when it comes to word problems. The question “200 is 40% of what number?” may sound complicated, but it can be easily answered by understanding the concept of percentage and how it applies to the given problem.

## What is Percentage?

In mathematics, a percentage is a special type of number that represents a fraction with a denominator of 100. In other words, it is a way of expressing a part of a whole number in terms of an overall 100. For example, if you try to express 10 out of 100 as a fraction, it would be written as 10/100, which is equal to 0.1. That same fraction expressed as a percentage would be 10%.

## How to Calculate Percentage?

There are two primary ways to calculate percentage. The first method is to divide the number by 100, then multiply the result by the given percentage (40% in this case). For example, if you want to calculate 40% of 200, you would divide 200 by 100 to get 2, and then multiply 2 by 40 to get 80. The other method is to use the formula “percentage of a number = (number × percentage) ÷ 100”. In this case, the formula would be (200 × 40) ÷ 100 = 80.

## Examples

To better understand the concept of percentages, let’s look at a few examples. If you want to calculate what 25% of 400 is, you can divide 400 by 100 to get 4, and then multiply 4 by 25 to get 100. Or, you can use the formula (400 × 25) ÷ 100 = 100. Similarly, if you want to calculate what 30% of 500 is, you can divide 500 by 100 to get 5, and then multiply 5 by 30 to get 150. Or, you can use the formula (500 × 30) ÷ 100 = 150.

## Conclusion

To answer the question “200 is 40% of what number?”, you can divide 200 by 100 to get 2, and then multiply 2 by 40 to get 80. Or, you can use the formula (200 × 40) ÷ 100 = 80. Understanding the concept of percentage and how it applies to word problems will make it easier to solve such questions.

In conclusion, to answer the question “200 is 40% of what number?”, you need to divide 200 by 100 to get 2, and then multiply 2 by 40 to get 80. Alternatively, you can use the formula (200 × 40) ÷ 100 = 80. Understanding the concept of percentage and how it applies to word problems will make it easier to solve such questions.

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