Mathematical Formula For Calculating Percentage Of Percentage
\[ \text{Result} = \frac{\text{First Percentage}}{100} \times \text{Second Percentage} \]
Example Broken Down With Steps
$$
\text{Given: First Percentage = 50, Second Percentage = 80}
$$
$$
\text{Step 1: Divide 50 by 100: } \frac{50}{100} = 0.5
$$
$$
\text{Step 2: Multiply 0.5 by 80: } 0.5 \times 80 = 40
$$
$$
\text{Result: 50% of 80% is 40%.}
$$
Further Explained
Example: Find 50% of 80%.
Steps:
- Convert the first percentage to a decimal: Divide 50 by 100:
$$ \frac{50}{100} = 0.5 $$ - Multiply the decimal by the second percentage: Multiply ( 0.5 ) by ( 80 ):
$$ 0.5 \times 80 = 40 $$ - Conclusion: 50% of 80% is 40%.