34 is 75 percent of what number?
Understand the Problem
The question is asking to find the number for which 34 is 75 percent of that number. This can be approached by setting up the equation based on the definition of percentage.
Answer
$45.33$
Answer for screen readers
The unknown number is approximately $45.33$.
Steps to Solve
- Set up the equation
Let the unknown number be represented by $x$.
According to the problem, 34 is 75% of $x$. We can express this relationship with the equation:
$$ 34 = 0.75 \cdot x $$
- Isolate $x$
Next, we need to solve for $x$. To do this, we can divide both sides of the equation by 0.75:
$$ x = \frac{34}{0.75} $$
- Calculate the value of $x$
Now, we perform the division:
$$ x = \frac{34}{0.75} = 34 \div 0.75 $$
This can be calculated using a calculator or by simplifying:
$$ 34 \div 0.75 = 34 \cdot \frac{100}{75} = 34 \cdot \frac{4}{3} $$
- Perform the final calculation
Now we can multiply it out:
$$ 34 \cdot \frac{4}{3} = \frac{136}{3} \approx 45.33 $$
Thus, we round this final value as necessary.
The unknown number is approximately $45.33$.
More Information
In this problem, we have determined that 34 is 75% of approximately 45.33. Understanding percentages can help in many real-life situations, such as financial calculations and statistics.
Tips
- A common mistake is forgetting to convert the percentage into a decimal. Remember that 75% needs to be written as 0.75.
- Another mistake might be miscalculating the division. It helps to double-check your calculations or use a calculator.
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