80 is what percentage of 150? Round to the nearest tenth of a percent step by step
The Correct Answer and Explanation is :
To find out what percentage 80 is of 150, you can follow these steps:
Step 1: Set Up the Equation
To determine the percentage, you can use the formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the “Part” is 80, and the “Whole” is 150.
Step 2: Substitute the Values
Substituting the values into the formula gives:
[
\text{Percentage} = \left( \frac{80}{150} \right) \times 100
]
Step 3: Perform the Division
Now, calculate the division:
[
\frac{80}{150} = 0.5333\ldots
]
This value can be approximated as 0.5333 when rounded to four decimal places.
Step 4: Multiply by 100
Next, multiply by 100 to convert the decimal into a percentage:
[
0.5333 \times 100 = 53.33
]
Step 5: Round to the Nearest Tenth of a Percent
Now, round 53.33 to the nearest tenth of a percent. Since the second decimal place is a 3, which is less than 5, you round down:
[
53.33 \approx 53.3
]
Final Answer
Thus, 80 is approximately 53.3% of 150.
Explanation
Understanding percentages is crucial in various fields, from finance to healthcare, as it helps in making comparisons and informed decisions. In this example, finding what percentage one number is of another allows us to quantify relationships between quantities.
The process involves basic arithmetic—dividing the part by the whole to obtain a decimal, followed by multiplying that decimal by 100 to express it as a percentage. Rounding to the nearest tenth provides clarity and precision, particularly in contexts where accuracy is paramount.
Moreover, percentages are widely used in everyday scenarios, such as calculating discounts, analyzing statistics, and interpreting data in reports. Familiarity with these calculations not only enhances numerical literacy but also empowers individuals to critically assess and understand the world around them.