Mathematical Formula For Calculating Ratio To Percentage
\[ \text{Percentage} = \frac{\text{Numerator}}{\text{Denominator}} \times 100 \]
Example Broken Down With Steps
$$
\text{Given: Ratio = } \frac{3}{4}
$$
$$
\text{Step 1: Divide 3 by 4: } \frac{3}{4} = 0.75
$$
$$
\text{Step 2: Multiply 0.75 by 100: } 0.75 \times 100 = 75
$$
$$
\text{Result: The ratio 3:4 is 75%.}
$$
Further Explained
Example: Convert 3:4 to a percentage.
Steps:
- Divide the first number by the second:
$$ \frac{3}{4} = 0.75 $$ - Multiply the result by 100:
$$ 0.75 \times 100 = 75 $$ - Conclusion: The ratio 3:4 is 75%.