34 is 40% of what number?
Understand the Problem
The question is asking what number corresponds to 34 being 40% of it. To solve this, we can use the formula: number = part / percentage. Here, the part is 34 and the percentage is 40%.
Answer
85
Answer for screen readers
The number that corresponds to 34 being 40% of it is 85.
Steps to Solve
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Identify the formula
To find the number where 34 is 40% of it, we use the formula:
$$ \text{number} = \frac{\text{part}}{\text{percentage}} $$ -
Convert percentage to a decimal
Before using the formula, convert the percentage into decimal form:
$$ 40% = \frac{40}{100} = 0.4 $$ -
Substitute the values into the formula
Now, substitute the part (34) and the decimal (0.4) into the formula:
$$ \text{number} = \frac{34}{0.4} $$ -
Calculate the result
Now perform the division:
$$ \text{number} = 34 \div 0.4 = 85 $$
The number that corresponds to 34 being 40% of it is 85.
More Information
In problems like these, it's useful to remember that finding a percentage of a number involves a direct relationship where you can express the part in relation to the whole. By converting percentages to decimal form, it makes calculation straightforward.
Tips
- Forgetting to convert the percentage to a decimal: Always remember to convert the percentage to a decimal before performing calculations.
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