20 is 60 percent of what number?
Understand the Problem
The question is asking to find the number of which 20 is 60 percent. We will set up the equation based on the percentage concept and solve for the unknown number.
Answer
The unknown number is $\frac{100}{3}$ or approximately $33.33$.
Answer for screen readers
The unknown number is $\frac{100}{3}$ or approximately $33.33$.
Steps to Solve
- Set up the equation
We will represent the unknown number as $x$. The problem states that 20 is 60 percent of this unknown number. We can express this relationship with the equation:
$$ 20 = 0.6x $$
- Isolate the variable
Next, we need to solve for $x$ by isolating it on one side of the equation. To do this, we divide both sides by 0.6:
$$ x = \frac{20}{0.6} $$
- Calculate the value
Now, we perform the calculation. We can simplify the division:
$$ x = \frac{20}{0.6} = \frac{20 \times 10}{6} = \frac{200}{6} = 33.33 $$
Thus, $x = 33.\overline{3}$.
The unknown number is $\frac{100}{3}$ or approximately $33.33$.
More Information
This problem illustrates the concept of percentages and how to translate them into algebraic equations. Understanding how to manipulate equations is crucial in finding unknown values.
Tips
- Mistyping percentages: Sometimes, percentages are mistakenly written in decimal form or vice versa. Always ensure 60% is correctly converted to 0.6.
- Misapplying operations: Be sure that when isolating variables, operations are applied correctly to both sides of the equation.
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