Calculate Percentage: Converting 256 to a Percentage of 16

What is the percentage of 256 over 16?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

What is the percentage of 256 over 16?

2

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%.

3

Final Answer

1600%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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