12 is 150 % of what number
The correct answer and explanation is:
Correct Answer:
12 is 150% of 8.
Explanation (300 Words):
This type of problem is a percentage problem where we are given the percentage (150%) and the resulting value (12), and we are asked to find the original number.
We can translate the problem “12 is 150% of what number” into a mathematical equation: 12=150% of x12 = 150\% \text{ of } x
We know that 150% means 150 per 100, or as a decimal: 150%=150100=1.5150\% = \frac{150}{100} = 1.5
So, rewrite the equation: 12=1.5×x12 = 1.5 \times x
To solve for xx, divide both sides by 1.5: x=121.5x = \frac{12}{1.5} x=8x = 8
So, 12 is 150% of 8.
Why This Works:
Percent problems usually follow the formula: Part=Percent×Whole\text{Part} = \text{Percent} \times \text{Whole}
Here:
- The part is 12
- The percent is 150% or 1.5
- The whole is the unknown number we are solving for
Rearranging the formula to solve for the whole: Whole=PartPercent=121.5=8\text{Whole} = \frac{\text{Part}}{\text{Percent}} = \frac{12}{1.5} = 8
Real-Life Example:
Imagine a price increases by 50%. If the final price is $12 after the increase, then the original price was $8 because $8 increased by 50% becomes $12.
Conclusion:
To find the number when given a percent of it, divide the given value by the decimal form of the percent. In this case, 12 ÷ 1.5 = 8. Thus, 12 is 150% of 8.