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Math  /  Numbers & Operations

Question256 is what percent of 400

Studdy Solution

STEP 1

1. We need to find what percent 256 256 is of 400 400 .
2. The result should be expressed as a percentage.

STEP 2

1. Define the percentage formula.
2. Substitute the given values into the formula.
3. Calculate the percentage.

STEP 3

The formula to find what percent one number is of another is:
Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

STEP 4

Substitute 256 256 for the part and 400 400 for the whole in the formula:
Percentage=(256400)×100\text{Percentage} = \left( \frac{256}{400} \right) \times 100

STEP 5

Calculate the percentage:
Percentage=(256400)×100=0.64×100=64\text{Percentage} = \left( \frac{256}{400} \right) \times 100 = 0.64 \times 100 = 64
The result is that 256 256 is 64% \boxed{64\%} of 400 400 .

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