Calculate 17 out of 20 as a Percentage – Hire Nigerian Translators

To convert 17 out of 20 to a percentage, you can follow a straightforward mathematical process. This involves expressing the fraction as a decimal and then converting that decimal into a percentage. Here’s a step-by-step explanation:

Step 1: Understand the Fraction

You start with the fraction $1720\frac{17}{20}$ , where 17 is the part and 20 is the whole. You need to determine what percentage 17 represents out of 20.

Step 2: Divide the Part by the Whole

To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number):

$1720=0.85\frac{17}{20} = 0.85$

Step 3: Convert the Decimal to a Percentage

To convert a decimal to a percentage, multiply the decimal by 100:

$0.85 \times 100 = 85$

Step 4: Interpret the Result

So, 17 out of 20 as a percentage is:

$85%85\%$

Verification

To ensure the calculation is correct, you can use another approach by setting up a proportion where $x$ represents the unknown percentage:

$1720=x100\frac{17}{20} = \frac{x}{100}$

Solving for $x$ involves cross-multiplying and then dividing:

$17 \times 100 = 20x$

$1700 = 20 x$

$\frac{1700}{20}$

$x = 85$

Again, you find that 17 out of 20 is 85%.

Additional Context

Percentages are a way to express a number as a fraction of 100, providing a sense of scale and proportion. For example, if you scored 17 out of 20 on a test, you achieved 85% of the total possible score. This percentage can be useful in various fields such as education, finance, and statistics to convey the magnitude or relative importance of a given value.

By following these steps and understanding the mathematical principles behind converting fractions to percentages, you can confidently perform similar calculations in the future.

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