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3 is 20 of what number?

Understand the Problem

The question is asking to determine what number 3 is 20 percent of. To solve this, we will use the formula that relates a part to the whole using percentages.

Answer

$15$
Answer for screen readers

The number that 3 is 20 percent of is $15$.

Steps to Solve

  1. Set Up the Equation

We know that 20 percent can be expressed as the fraction $\frac{20}{100}$ or $0.20$. We want to find a number $x$ such that $20%$ of $x$ equals $3$. This leads us to the equation: $$ 0.20 \cdot x = 3 $$

  1. Isolate the Variable

To find $x$, we need to isolate it in the equation. We can do this by dividing both sides by $0.20$: $$ x = \frac{3}{0.20} $$

  1. Calculate the Result

Now perform the division: $$ x = \frac{3}{0.20} = 3 \div 0.20 = 15 $$

The number that 3 is 20 percent of is $15$.

More Information

When calculating percentages, it’s important to convert the percentage to a decimal form to simplify the arithmetic. In this case, $20%$ was converted to $0.20$ to find the whole number.

Tips

  • Forgetting to convert the percentage to a decimal, which can lead to incorrect calculations.
  • Not isolating the variable properly when rearranging the equation.
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