30% of a number is 150
Check the final answer first, then review the worked steps.
Problem
30% of a number is 150
Answer
500
Step-by-step solution
- Define the variable: Let $x$ be the unknown number.
2. Translate the problem into an equation: The phrase "30% of a number is 150" can be written mathematically as:
$$0.30 \cdot x = 150$$
3. Solve for x: To isolate $x$, divide both sides of the equation by $0.30$:
$$x = \frac{150}{0.30}$$
4. Calculate the result: Perform the division:
$$x = \frac{15000}{30} = 500$$
Therefore, the number is 500.