Calculate Percentage: Converting 256 to a Percentage of 16

Question

What is the percentage of 256 over 16?

Video Solution

Solution Steps

00:00 Calculate 256 as a percentage of 16
00:05 Apply the formula for calculating percentages
00:10 Divide one number by the other and then proceed to multiply by 100
00:15 Break down 256 into factors of 16 and 16
00:20 Reduce wherever possible
00:30 This is the solution

Step-by-Step Solution

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

  • Step 1: Identify the given information -- to find what percentage 256 is of 16.
  • Step 2: Apply the formula for percentage conversion.
  • Step 3: Calculate the result by performing the necessary arithmetic operations.

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:

percentage=(25616)×100% \text{percentage} = \left( \frac{256}{16} \right) \times 100\%

Step 3: Calculate the division:

25616=16 \frac{256}{16} = 16

Then, convert this to a percentage:

16×100%=1600% 16 \times 100\% = 1600\%

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

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

Answer

1600%