Calculate Percentage: Converting 256 to a Percentage of 16

Video Solution

Solution Steps

00:04 Let's find out what percentage 256 is of 16.

00:09 We'll use the usual formula for calculating percentages.

00:14 First, divide 256 by 16, then multiply the result by 100.

00:21 Think of 256 as 16 times 16. This makes it easier.

00:27 Simplify wherever you can, to make it neat.

00:34 And there you have it! That's our solution.

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Let's proceed with the calculation:

Step 1: We are given that the part (numerator) is 256 and the whole (denominator) is 16.

Step 2: Use the formula for percentage:

\text{percentage} = \left( \frac{256}{16} \right) \times 100\%

Step 3: Calculate the division:

\frac{256}{16} = 16

Then, convert this to a percentage:

16 \times 100\% = 1600\%

Therefore, the percentage of 256 over 16 is $1600\%$ .

According to the given choices, the correct answer is choice 4: 1600%.