10 is what percent of 12?
The Correct Answer and Explanation is :
To find what percent 10 is of 12, follow these steps:
Step 1: Set up the problem as a ratio.
We are looking for the percentage, which can be represented as:
[
\frac{10}{12} = \frac{x}{100}
]
Where (x) is the percentage we want to find.
Step 2: Solve the ratio.
To find (x), we solve the equation:
[
x = \left(\frac{10}{12}\right) \times 100
]
First, divide 10 by 12:
[
10 \div 12 = 0.8333
]
Next, multiply this by 100:
[
0.8333 \times 100 = 83.33
]
So, 10 is 83.33% of 12.
Explanation:
When you want to find what percent one number is of another, you are essentially determining how many parts out of 100 the first number represents. In this case, you want to know how much of 12 is represented by 10, in terms of a percentage.
The general formula for finding percentages is:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
Here, 10 is the “part” and 12 is the “whole.” By dividing the part by the whole, you find out how much of the whole the part represents. Multiplying by 100 converts this ratio into a percentage.
So, 10 is approximately 83.33% of 12, meaning that 10 makes up about 83.33% of the total value of 12.