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## What Percent of 60 is 18 – Definition

**What Percent of 60 is 18?**: The term “percentage” came from the Latin word “per centum,” which means “per hundred.” Percentages are fractions with 100 as the denominator. It is the relationship between the part and the whole – where the value of the whole is always taken equal to 100.

In mathematics, a percentage is a number or a ratio that can be expressed as a fraction of 100. If we need to calculate the percentage of a number, we divide the number by an integer and multiply it by 100. Therefore, the percentage means one part percent. The word percent means per 100. Thus, the **symbol** “%” represents it”.

### Here are examples of percentages:

- 10% is equal to 1/10 fraction
- 20% equals ⅕ fraction
- 25% equals ¼ fraction
- 50% equals ½ fraction
- 75% equals ¾ fraction
- 90% equals a fraction of 9/10

Percentages have no dimension. Hence, it is called a dimensionless number. If we say 50% of a number, it means 50% of its total.

Percentages represent in decimal or fractional form, such as 0.6%, 0.25%, etc. In academics, the marks obtained in any subject are calculated in terms of percentage. For example, Ram scored 78% on his final exam. Thus, we calculate percentages considering the total mark obtained in all subjects at the total mark.

To calculate what percentage of x is y, we must first convert it to a fraction of the form y/x, then multiply the resulting fraction by 100%. Note that the answer can be greater than 100 also in cases where y>x

## Different Methods to Calculate the Percentages

### Method 1

Since the question asks what percentage of 60 is equal to 18, first convert it to a fraction of the form: 18/60

Then multiply the resulting fraction by 100% and simplify as shown below:

18/60*100 = 3/10 *100% = 30%

Hence, the answer is: 30%

### Method 2

“Percent” or “%” means “out of 100” or “per 100”, Therefore x% can be written as x/100.

So we can write:

x/100=18/60 where x is the percent.

Now, multiply each side of the equation by 100 to solve for x while keeping the equation balanced:

100 * x/100 = 100*18/60

100 * x/100 = 1800/60

x=30

18 is 30% of 60

### Method 3

Step by step calculation to **solve** what percent of 60 is 18

We already have our first value of 60 and the second value of 18. Let’s presume the unknown value is Y, which we have to find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

**STEP 1** : Y = 18/60

By multiplying both numerator and denominator by 100 we will get:

**STEP 2** : Y = 18/60 * 100/100 = 30/100

**STEP 3** : Y = 30

Finally, we have found the value of Y, which is 30, and that is our answer.

You can use a calculator to find what percent of 60 is 18, enter 18 ÷ 60 × 100, and you will get your answer which is 30

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