36 is what percent of 120
Understand the Problem
The question is asking to find out what percentage 36 is of 120. This requires using the formula for percentage calculation, which is (part/whole) * 100.
Answer
30%
Answer for screen readers
The percentage that 36 is of 120 is 30%.
Steps to Solve
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Identify the part and whole In this problem, we know that the "part" is 36 and the "whole" is 120.
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Use the percentage formula We will apply the percentage formula:
$$ \text{Percentage} = \left( \frac{\text{part}}{\text{whole}} \right) \times 100 $$
Substituting the known values: $$ \text{Percentage} = \left( \frac{36}{120} \right) \times 100 $$
- Calculate the fraction First, simplify the fraction:
$$ \frac{36}{120} = \frac{3}{10} $$
- Perform the multiplication Now, multiply by 100 to find the percentage:
$$ \text{Percentage} = \frac{3}{10} \times 100 = 30 $$
The percentage that 36 is of 120 is 30%.
More Information
A percentage expresses how much one number is in relation to another number. It's a common calculation used in everyday life, such as calculating discounts, tax, or grades.
Tips
One common mistake is forgetting to multiply by 100 when calculating the percentage. Always remember that the final step in a percentage calculation involves multiplying the fractional result by 100.
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