Which is the higher percentage: 42 out of 60 or 48 out of 80.

Answer

To determine which is the higher percentage between 42 out of 60 and 48 out of 80, we will calculate the percentage for each case step by step.

### Step 1: Calculate the percentage of 42 out of 60
To find the percentage, we use the formula:
\[ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 \]
For 42 out of 60:
\[ \text{Percentage} = \left(\frac{42}{60}\right) \times 100 \]

### Step 2: Simplify the fraction
We can simplify the fraction:
\[ \frac{42}{60} = \frac{42 \div 6}{60 \div 6} = \frac{7}{10} \]

### Step 3: Calculate the percentage
Now, substituting back into the percentage formula:
\[ \text{Percentage} = \left(\frac{7}{10}\right) \times 100 = 70\% \]

### Step 4: Calculate the percentage of 48 out of 80
Now we will calculate the percentage for 48 out of 80:
\[ \text{Percentage} = \left(\frac{48}{80}\right) \times 100 \]

### Step 5: Simplify the fraction
We can simplify this fraction as well:
\[ \frac{48}{80} = \frac{48 \div 16}{80 \div 16} = \frac{3}{5} \]

### Step 6: Calculate the percentage
Now, substituting back into the percentage formula:
\[ \text{Percentage} = \left(\frac{3}{5}\right) \times 100 = 60\% \]

### Step 7: Compare the percentages
Now we compare the two percentages:
- 42 out of 60 = 70%
- 48 out of 80 = 60%

### Conclusion
Since 70% is greater than 60%, we conclude that:
**42 out of 60 is the higher percentage.**

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