550 is what percent of 600?
The Correct Answer and Explanation is:
To find what percent 550 is of 600, we can set up a simple percentage formula:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case, 550 is the part, and 600 is the whole. Plugging in the numbers, we get:
[
\text{Percentage} = \left(\frac{550}{600}\right) \times 100
]
Calculating this:
- Divide 550 by 600:
[
\frac{550}{600} = 0.9167
] - Multiply by 100 to convert to a percentage:
[
0.9167 \times 100 = 91.67
]
So, 550 is 91.67% of 600.
Explanation
The percentage formula, (\left(\frac{\text{Part}}{\text{Whole}}\right) \times 100), helps determine the proportion of a part relative to a whole as a percentage. Here, “550 is what percent of 600” asks us to calculate how much 550 represents when viewed as part of 600. By dividing 550 by 600, we obtain a decimal value, which is a fraction of 1. Multiplying this decimal by 100 shifts the decimal two places to the right, converting it into a percentage format.
This approach is widely applicable, whether in finance (calculating interest rates), health (understanding percentage improvement), or everyday situations (such as discounts or proportions). In this example, knowing that 550 is 91.67% of 600 tells us that 550 is close to the total value of 600 but slightly less, as it represents 91.67% rather than a full 100%. Understanding percentage calculations can make comparisons between quantities more meaningful and help with interpreting values in a range of real-life contexts.