Video: Finding the Part given Its Percentage and the Whole

Fill in the missing value: 6 3/4% of 400 kg is _ kg.

01:27

Video Transcript

Fill in the missing value: Six and three-quarter percent of 400 kilograms is blank kilograms.

Let’s begin by considering the percentage in this question, six and three-quarter percent. The fraction three-quarters written as a decimal is 0.75. This means that six and three-quarter percent is the same as 6.75 percent. We need to calculate 6.75 percent of 400 kilograms. To convert from a percentage to a decimal, we need to divide by 100. 6.75 divided by 100 is 0.0675 as all of our digits move two places to the right. We can, therefore, calculate 6.75 percent of 400 by multiplying 0.0675 by 400.

We could do this by multiplying by 100 and then multiplying by four. This gives us an answer of 27. Six and three-quarter percent of 400 kilograms is 27 kilograms. Therefore, the missing value in the statement is 27.

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