What is 20% of 1200?

Answer: 20% of 1200 is 240

Finding percentages of a number is a common task in math, useful in many everyday situations such as calculating discounts, interest, and data analysis. When you are asked what 20% of 1200 is, you want to find the amount corresponding to 20 out of every 100 parts of 1200.

Methods

Math Tutor Explanation Using the Multiplication Method

The most straightforward way to find a percentage of a number is to multiply the number by the percentage as a decimal.

Step 1: Step 1: Convert 20% to its decimal form by dividing by 100 (20 ÷ 100 = 0.2)

Step 2: Step 2: Multiply the decimal by 1200 (0.2 × 1200)

Math Tutor Explanation Using the Fraction Method

Percent means 'per hundred,' so 20% is the same as 20/100. You can multiply the number by this fraction.

Step 1: Step 1: Write 20% as a fraction (20/100)

Step 2: Step 2: Multiply 1200 by 20/100 (1200 × 20/100)

Step 1:

Step 2:

Math Tutor suggests: Sharpen Your Percentage Calculation Skills

Want to strengthen your understanding of percentage calculations? Try these related exercises to master finding percentages of different numbers.

FAQ on Percentages

How do you convert a percent to a decimal?

Divide the percent number by 100 to convert it into a decimal.

Can you use a calculator to find percentages?

Yes, you can enter the decimal form of the percent and multiply it by the desired number.

What is the general formula for finding a percent of a number?

Multiply the number by the percent (written as a decimal).

Why is finding percentages helpful in daily life?

Percentages help calculate discounts, taxes, interest, and analyze data easily.

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