what is 56 of 75
Understand the Problem
The question is asking for the calculation of 56 out of 75, which involves finding the percentage or proportion of that value.
Answer
$74.67\%$
Answer for screen readers
The percentage of 56 out of 75 is approximately $74.67%$.
Steps to Solve
- Identify the formula for percentage
To calculate the percentage, we can use the formula:
$$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$
In this case, the "Part" is 56 and the "Whole" is 75.
- Plug in the values into the formula
Substituting the values into the percentage formula gives:
$$ \text{Percentage} = \left( \frac{56}{75} \right) \times 100 $$
- Calculate the fraction
We first need to calculate the fraction $\frac{56}{75}$:
$$ \frac{56}{75} = 0.7467 \text{ (rounded to 4 decimal places)} $$
- Multiply by 100 to get the percentage
Now we multiply by 100 to convert the decimal into a percentage:
$$ 0.7467 \times 100 = 74.67 $$
Thus, we find that:
$$ \text{Percentage} \approx 74.67% $$
The percentage of 56 out of 75 is approximately $74.67%$.
More Information
This calculation is often used in various contexts such as grading systems, performance metrics, or statistical analysis to understand how much of a whole is represented by a part.
Tips
- Not multiplying by 100 after calculating the fraction can lead to presenting the decimal instead of the percentage.
- Misplacing or miscalculating the values when substituting into the formula can yield incorrect results.
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