Embark on an enlightening journey to uncover the answer to the intriguing question: what percent of 110 is 71.5? Join us as we delve into the fascinating realm of mathematics, where we’ll unravel the secrets of percentages and explore the intricacies of this intriguing calculation.
Throughout this exploration, we’ll illuminate the concepts of proportion and ratio, guiding you towards a thorough understanding of how they intertwine to reveal the percentage we seek. Prepare to be captivated as we unveil the hidden connections between numbers, empowering you with the knowledge to tackle similar challenges with ease.
Calculation
Calculating the percentage of a given number involves a simple mathematical formula that determines the proportional relationship between the two numbers.
Formula
The formula for calculating the percentage is:
Percentage = (Part / Whole) x 100
where:
- Percentage is the percentage value you want to find.
- Part is the value you want to express as a percentage of the whole.
- Whole is the total value or 100%.
Step-by-Step Calculation, What percent of 110 is 71.5
To calculate what percent of 110 is 71.5, follow these steps:
- Identify the part and the whole:
- Part = 71.5
- Whole = 110
- Substitute the values into the formula:
Percentage = (71.5 / 110) x 100
- Simplify the calculation:
Percentage = 0.65 x 100 = 65%
Therefore, 71.5 is 65% of 110.
Proportion: What Percent Of 110 Is 71.5
Proportion refers to the relationship between two ratios that are equal. In this calculation, we can establish a proportion to determine the unknown percentage.
To find out what percent of 110 is 71.5, we can use a simple formula. But hold on a sec! Let’s take a quick detour to the wonderful world of poetry. Check out hamadi by Naomi Shihab Nye for a poignant and thought-provoking read.
Now, back to our math problem: to solve for the percentage, we divide 71.5 by 110 and multiply by 100. So, what percent of 110 is 71.5? The answer is 65%.
To set up a proportion, we represent the known percentage as a fraction (x/100) and the corresponding value (71.5) as a fraction of the total (110). We then equate the two fractions to form a proportion.
Solving the Proportion
The proportion can be set up as follows:
x/100 = 71.5/110
To solve for x, we can cross-multiply and simplify:
- x = 71.5
- 100
- x = 7150
x = 7150/110x = 65
Therefore, the percentage of 110 that is equal to 71.5 is 65%.
Ratio
A ratio is a comparison of two quantities. It can be expressed as a fraction, a decimal, or a percentage.
Ratios are closely related to percentages. A percentage is a ratio expressed as a fraction of 100.
Converting a Ratio to a Percentage
To convert a ratio to a percentage, we can use the following formula:
Percentage = (Ratio / 100)
100
For example, to convert the ratio of 71.5 to 110 into a percentage, we would use the following formula:
Percentage = (71.5 / 110)
100 = 65%
Decimal Conversion
Converting a percentage result from a decimal to a whole number involves removing the decimal point and multiplying the result by 100 to express it as a percentage.
For example, if we want to convert the decimal percentage 0.65 to a whole number percentage, we multiply 0.65 by 100, which gives us 65%.
Converting Decimal Percentage for “What Percent of 110 is 71.5”
In our previous calculation, we found that 71.5 is 65% of 110. To convert this decimal percentage to a whole number percentage, we multiply 0.65 by 100, which gives us 65%.
FAQ Section
What is the formula for calculating percentages?
Percentage = (Part / Whole) x 100
How do I solve for the unknown percentage in a proportion?
Cross-multiply and solve for the variable representing the percentage.
What is the relationship between ratio and percentage?
Percentage = Ratio x 100
