Reviewed by Jo-ann Caballes
What is 10% of 200?
Answer: 10% of 200 is 20
Calculating percentages is a fundamental math skill often used in everyday life. To find 10% of 200, we're looking for the value that represents 10 parts out of 100 (the whole) multiplied by 200. This process is useful for discounts, statistics, and data analysis.
Methods
Math Tutor Explanation Using Multiplication by the Percentage as a Decimal
The most straightforward way to find a percentage of a number is to convert the percentage to its decimal form and multiply by the original amount.
Step 1: Step 1: Convert 10% to its decimal form by dividing by 100, which gives 0.10
Step 2: Step 2: Multiply 0.10 by 200 to get 20
Math Tutor Explanation Using Proportion Method
Another way to interpret 10% of 200 is to set up a proportion, finding what number x is 10 out of every 100 parts of 200.
Step 1: Step 1: Set up the proportion as x/200 = 10/100
Step 2: Step 2: Cross multiply to get 100x = 2000 and solve for x by dividing both sides by 100 to get x = 20
Step 1:
Step 2:
Math Tutor suggests: More Percentage Calculation Practice
Strengthen your skills in finding percentages of different numbers with these related exercises.
FAQ on Percentage Calculations
How do I calculate any percentage of a number?
Convert the percentage to a decimal and multiply by the number.
Can I use mental math to find 10% of a number?
Yes, simply move the decimal point one place to the left.
What is the quickest way to find 10% of 200 without a calculator?
Take 200 and move the decimal one place left to get 20.
Why do we divide the percentage by 100?
Dividing by 100 converts the percent to its decimal form, which can be used for calculations.
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