What is 5% of 100?

Answer: 5% of 100 is 5

Finding a percentage of a number is a common operation in mathematics that helps determine proportions, discounts, or parts of a whole. In this example, we seek to find what 5% of 100 equals.

Methods

Math Tutor Explanation Using the Percentage Formula

To find a percentage of a number, multiply the percentage (as a decimal) by the number.

Step 1: Step 1: Convert 5% to a decimal by dividing by 100

Step 2: Step 2: Multiply the decimal (0.05) by 100

Math Tutor Explanation Using Mental Math Estimation

Some percentages, like 5%, are straightforward to calculate mentally by dividing by 20.

Step 1: Step 1: Recognize that 5% is one-twentieth of a whole

Step 2: Step 2: Divide 100 by 20

Step 1:

Step 2:

Math Tutor suggests: Practice More Percentage Calculations

Keep building your percentage skills with these related problems on finding percentages of different numbers.

FAQ on Calculating Percentages

How do you convert a percentage to a decimal?

Divide the percentage by 100 to get its decimal form.

Can I use the same method to find percentages of any number?

Yes, multiply the decimal form of the percentage by the number to find the result.

What is the formula to find a percentage of a number?

The formula is: (percentage / 100) × number.

Why is 5% of 100 equal to 5?

Because 5% means 5 out of every 100, so 5% of 100 is 5.

How can I quickly estimate percentages in my head?

You can round the percentage or number to make mental calculations easier, or use approximations for common percentages like 10%, 25%, or 50%.

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