What number is 65% of 840 and percent
The Correct Answer and Explanation is :
To find 65% of 840, you need to multiply 840 by 65%, which is the same as multiplying 840 by 0.65. Here’s the step-by-step calculation:
- Convert the percentage into a decimal:
65% is the same as ( \frac{65}{100} ), which equals 0.65. - Multiply 840 by 0.65:
( 840 \times 0.65 = 546 )
So, 65% of 840 is 546.
Explanation:
Understanding percentages is crucial, as percentages represent parts per hundred. When you are asked to find 65% of a number, you are essentially being asked to find 65 parts out of 100 of that number. This is helpful when dealing with discounts, tax rates, or data analysis in fields like business or healthcare, where percentages often indicate proportions or distributions.
The formula to calculate the percentage of a number is:
[
\text{Percentage of a number} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Total number}
]
In this case, you are given the percentage (65%) and the total number (840), so you divide 65 by 100 to convert it into a decimal (0.65), and then multiply it by 840. This gives you the result of 546.
Using percentages is an efficient way to quantify how much of a total is represented by a particular part. For example, if you are looking at the budget for a project and want to know what 65% of the total amount would be, this calculation helps you determine the portion of the total that 65% represents. This method of calculation is applicable in a wide range of fields, including finance, healthcare, and marketing.