Percentage Of Number Calculator

Mathematical Formula For Calculating Percentage Of a Number

$$ \text{Percentage of Number} = \frac{\text{Percentage}}{100} \times \text{Number} $$

Example Broken Down With Steps

$$
\text{Given: Percentage = 25, Number = 200}
$$
$$
\text{Step 1: Divide 25 by 100: } \frac{25}{100} = 0.25
$$
$$
\text{Step 2: Multiply 0.25 by 200: } 0.25 \times 200 = 50
$$
$$
\text{Result: 25% of 200 is 50.}
$$

Further Explained

Example: Find 25% of 200.

Steps:

1. Convert the percentage into a decimal: Divide 25 by 100 to represent the percentage in decimal form:
   $$ \frac{25}{100} = 0.25 $$
   This step is necessary because percentages are fractions out of 100.
2. Multiply the decimal by the number: Multiply ( 0.25 ) by ( 200 ) to find the value of 25% of 200:
   $$ 0.25 \times 200 = 50 $$
3. Conclusion: 25% of 200 is 50.