what is 27 out of 35 as a percentage

Natashya

less than a minute read

·

24-12-2024

1

0

Share

Knowing how to convert fractions to percentages is a valuable skill in many areas of life, from calculating grades to understanding sales discounts. This article will guide you through calculating "27 out of 35 as a percentage," explaining the process step-by-step so you can easily apply it to other fraction-to-percentage conversions.

Understanding Percentages

A percentage is a way of expressing a number as a fraction of 100. The symbol "%" represents "per hundred" or "out of 100." For example, 50% means 50 out of 100, which is equivalent to the fraction 50/100, or 1/2.

Calculating 27 out of 35 as a Percentage

To determine what 27 out of 35 represents as a percentage, follow these steps:

Step 1: Set up the Fraction

First, represent "27 out of 35" as a fraction: 27/35

Step 2: Convert the Fraction to a Decimal

Divide the numerator (27) by the denominator (35):

27 ÷ 35 = 0.7714

Step 3: Convert the Decimal to a Percentage

Multiply the decimal by 100 and add the percentage symbol (%):

0.7714 x 100 = 77.14%

Therefore, 27 out of 35 is 77.14%.

Alternative Method: Using Proportions

You can also solve this using proportions:

27/35 = x/100

Cross-multiply:

35x = 2700

Solve for x:

x = 2700/35 = 77.14

Therefore, x = 77.14%

Practical Applications

Understanding how to calculate percentages is crucial in various real-world scenarios:

• Grade Calculation: If you answered 27 out of 35 questions correctly on a test, your score is 77.14%.
• Sales Discounts: A 27% discount on a $35 item would save you $9.45 (0.27 x $35).
• Financial Analysis: Understanding percentage changes in investments or budgets requires this skill.

Conclusion

Converting fractions to percentages is a fundamental mathematical skill with wide-ranging applications. By following the steps outlined above, you can confidently convert any fraction into its percentage equivalent. Remember that "27 out of 35" is equal to 77.14%. Now you can apply this knowledge to various situations requiring percentage calculations.